diff --git a/pkg/redb/graph.go b/pkg/redb/graph.go
index 0c2fc72..5bd1c73 100644
--- a/pkg/redb/graph.go
+++ b/pkg/redb/graph.go
@@ -15,20 +15,20 @@ import (
 
 const (
 	// redis variable names
-	KeyDatabase        string = "database"   // TODO: this can be removed
-	KeyLastNodeID      string = "lastNodeID" // TODO: change it to "next" inside "node" hash
-	KeyKeyIndex        string = "keyIndex"   // TODO: change to key_index
-	KeyNodePrefix      string = "node:"
-	KeyFollowsPrefix   string = "follows:"
-	KeyFollowersPrefix string = "followers:"
+	KeyDatabase        = "database"   // TODO: this can be removed
+	KeyLastNodeID      = "lastNodeID" // TODO: change it to "next" inside "node" hash
+	KeyKeyIndex        = "keyIndex"   // TODO: change to key_index
+	KeyNodePrefix      = "node:"
+	KeyFollowsPrefix   = "follows:"
+	KeyFollowersPrefix = "followers:"
 
 	// redis node HASH fields
-	NodeID          string = "id"
-	NodePubkey      string = "pubkey"
-	NodeStatus      string = "status"
-	NodePromotionTS string = "promotion_TS" // TODO: change to promotion
-	NodeDemotionTS  string = "demotion_TS"  // TODO: change to demotion
-	NodeAddedTS     string = "added_TS"     // TODO: change to addition
+	NodeID          = "id"
+	NodePubkey      = "pubkey"
+	NodeStatus      = "status"
+	NodePromotionTS = "promotion_TS" // TODO: change to promotion
+	NodeDemotionTS  = "demotion_TS"  // TODO: change to demotion
+	NodeAddedTS     = "added_TS"     // TODO: change to addition
 )
 
 var (
@@ -41,7 +41,11 @@ type RedisDB struct {
 }
 
 func New(opt *redis.Options) RedisDB {
-	return RedisDB{client: redis.NewClient(opt)}
+	r := RedisDB{client: redis.NewClient(opt)}
+	if err := r.validateWalks(); err != nil {
+		panic(err)
+	}
+	return r
 }
 
 // Size returns the DBSize of redis, which is the total number of keys
@@ -178,7 +182,7 @@ func (r RedisDB) members(ctx context.Context, key func(graph.ID) string, node gr
 		}
 	}
 
-	return toIDs(members), nil
+	return toNodes(members), nil
 }
 
 // FollowCounts returns the number of follows each node has. If a node is not found, it returns 0.
diff --git a/pkg/redb/graph_test.go b/pkg/redb/graph_test.go
index fc99475..3d29c77 100644
--- a/pkg/redb/graph_test.go
+++ b/pkg/redb/graph_test.go
@@ -318,12 +318,12 @@ func TestPubkeys(t *testing.T) {
 // ------------------------------------- HELPERS -------------------------------
 
 func Empty() (RedisDB, error) {
-	return New(&redis.Options{Addr: testAddress}), nil
+	return RedisDB{client: redis.NewClient(&redis.Options{Addr: testAddress})}, nil
 }
 
 func OneNode() (RedisDB, error) {
-	db := New(&redis.Options{Addr: testAddress})
-	if _, err := db.AddNode(context.Background(), "0"); err != nil {
+	db := RedisDB{client: redis.NewClient(&redis.Options{Addr: testAddress})}
+	if _, err := db.AddNode(ctx, "0"); err != nil {
 		db.flushAll()
 		return RedisDB{}, err
 	}
@@ -332,9 +332,7 @@ func OneNode() (RedisDB, error) {
 }
 
 func Simple() (RedisDB, error) {
-	ctx := context.Background()
-	db := New(&redis.Options{Addr: testAddress})
-
+	db := RedisDB{client: redis.NewClient(&redis.Options{Addr: testAddress})}
 	for _, pk := range []string{"0", "1", "2"} {
 		if _, err := db.AddNode(ctx, pk); err != nil {
 			db.flushAll()
diff --git a/pkg/redb/utils.go b/pkg/redb/utils.go
index 74f4bc5..395cd0a 100644
--- a/pkg/redb/utils.go
+++ b/pkg/redb/utils.go
@@ -2,13 +2,19 @@ package redb
 
 import (
 	"context"
+	"errors"
 	"github/pippellia-btc/crawler/pkg/graph"
+	"github/pippellia-btc/crawler/pkg/walks"
 	"strconv"
+	"strings"
 	"time"
 )
 
 var (
 	testAddress = "localhost:6380"
+
+	ErrValueIsNil       = errors.New("value is nil")
+	ErrValueIsNotString = errors.New("failed to convert to string")
 )
 
 // flushAll deletes all the keys of all existing databases. This command never fails.
@@ -28,8 +34,12 @@ func followers[ID string | graph.ID](id ID) string {
 	return KeyFollowersPrefix + string(id)
 }
 
-// ids converts a slice of strings to IDs
-func toIDs(s []string) []graph.ID {
+func walksVisiting[ID string | graph.ID](id ID) string {
+	return KeyWalksVisitingPrefix + string(id)
+}
+
+// toNodes converts a slice of strings to node IDs
+func toNodes(s []string) []graph.ID {
 	IDs := make([]graph.ID, len(s))
 	for i, e := range s {
 		IDs[i] = graph.ID(e)
@@ -37,8 +47,17 @@ func toIDs(s []string) []graph.ID {
 	return IDs
 }
 
+// toWalks converts a slice of strings to walk IDs
+func toWalks(s []string) []walks.ID {
+	IDs := make([]walks.ID, len(s))
+	for i, e := range s {
+		IDs[i] = walks.ID(e)
+	}
+	return IDs
+}
+
 // strings converts graph IDs to a slice of strings
-func toStrings(ids []graph.ID) []string {
+func toStrings[ID graph.ID | walks.ID](ids []ID) []string {
 	s := make([]string, len(ids))
 	for i, id := range ids {
 		s[i] = string(id)
@@ -98,3 +117,49 @@ func parseTimestamp(unix string) (time.Time, error) {
 	}
 	return time.Unix(ts, 0), nil
 }
+
+func formatWalk(walk walks.Walk) string {
+	nodes := make([]string, walk.Len())
+	for i, node := range walk.Path {
+		nodes[i] = string(node)
+	}
+	return strings.Join(nodes, ",")
+}
+
+func parseWalk(s string) walks.Walk {
+	nodes := strings.Split(s, ",")
+	walk := walks.Walk{Path: make([]graph.ID, len(nodes))}
+	for i, node := range nodes {
+		walk.Path[i] = graph.ID(node)
+	}
+	return walk
+}
+
+func parseString(v any) (string, error) {
+	if v == nil {
+		return "", ErrValueIsNil
+	}
+
+	str, ok := v.(string)
+	if !ok {
+		return "", ErrValueIsNotString
+	}
+
+	return str, nil
+}
+
+func parseFloat(v any) (float64, error) {
+	str, err := parseString(v)
+	if err != nil {
+		return 0, err
+	}
+	return strconv.ParseFloat(str, 64)
+}
+
+func parseInt(v any) (int, error) {
+	str, err := parseString(v)
+	if err != nil {
+		return 0, err
+	}
+	return strconv.Atoi(str)
+}
diff --git a/pkg/redb/walks.go b/pkg/redb/walks.go
index 9195bd4..5ea991a 100644
--- a/pkg/redb/walks.go
+++ b/pkg/redb/walks.go
@@ -1 +1,280 @@
 package redb
+
+import (
+	"context"
+	"errors"
+	"fmt"
+	"github/pippellia-btc/crawler/pkg/graph"
+	"github/pippellia-btc/crawler/pkg/walks"
+	"math"
+	"strconv"
+)
+
+const (
+	KeyRWS                 = "RWS"          // TODO: this can be removed
+	KeyAlpha               = "alpha"        // TODO: walks:alpha
+	KeyWalksPerNode        = "walksPerNode" // TODO: walks:N or another
+	KeyLastWalkID          = "lastWalkID"   // TODO: walks:next
+	KeyTotalVisits         = "totalVisits"  // TODO: walks:total_visits
+	KeyWalks               = "walks"
+	KeyWalksVisitingPrefix = "walksVisiting:" // TODO: walks_visiting:
+)
+
+var (
+	ErrWalkNotFound       = errors.New("walk not found")
+	ErrInvalidReplacement = errors.New("invalid walk replacement")
+	ErrInvalidLimit       = errors.New("limit must be a positive integer, or -1 to fetch all walks visiting node")
+)
+
+// Walks returns the walks associated with the IDs.
+func (r RedisDB) Walks(ctx context.Context, IDs ...walks.ID) ([]walks.Walk, error) {
+	switch {
+	case len(IDs) == 0:
+		return nil, nil
+
+	case len(IDs) <= 100000:
+		vals, err := r.client.HMGet(ctx, KeyWalks, toStrings(IDs)...).Result()
+		if err != nil {
+			return nil, fmt.Errorf("failed to fetch walks: %w", err)
+		}
+
+		walks := make([]walks.Walk, len(vals))
+		for i, val := range vals {
+			if val == nil {
+				// walk was not found, so return an error
+				return nil, fmt.Errorf("failed to fetch walk with ID %s: %w", IDs[i], ErrWalkNotFound)
+			}
+
+			walks[i] = parseWalk(val.(string))
+			walks[i].ID = IDs[i]
+		}
+
+		return walks, nil
+
+	default:
+		// too many walks for a single call, so we split them in two batches
+		mid := len(IDs) / 2
+		batch1, err := r.Walks(ctx, IDs[:mid]...)
+		if err != nil {
+			return nil, err
+		}
+
+		batch2, err := r.Walks(ctx, IDs[mid:]...)
+		if err != nil {
+			return nil, err
+		}
+
+		return append(batch1, batch2...), nil
+	}
+}
+
+// WalksVisiting returns up-to limit walks that visit node.
+// Use limit = -1 to fetch all the walks visiting node.
+func (r RedisDB) WalksVisiting(ctx context.Context, node graph.ID, limit int) ([]walks.Walk, error) {
+	switch {
+	case limit == -1:
+		// return all walks visiting node
+		IDs, err := r.client.SMembers(ctx, walksVisiting(node)).Result()
+		if err != nil {
+			return nil, fmt.Errorf("failed to fetch %s: %w", walksVisiting(node), err)
+		}
+
+		return r.Walks(ctx, toWalks(IDs)...)
+
+	case limit > 0:
+		IDs, err := r.client.SRandMemberN(ctx, walksVisiting(node), int64(limit)).Result()
+		if err != nil {
+			return nil, fmt.Errorf("failed to fetch %s: %w", walksVisiting(node), err)
+		}
+
+		return r.Walks(ctx, toWalks(IDs)...)
+
+	default:
+		return nil, ErrInvalidLimit
+	}
+}
+
+// AddWalks adds all the walks to the database assigning them progressive IDs.
+func (r RedisDB) AddWalks(ctx context.Context, walks ...walks.Walk) error {
+	if len(walks) == 0 {
+		return nil
+	}
+
+	// get the IDs outside the transaction, which implies there might be "holes",
+	// meaning IDs not associated with any walk
+	next, err := r.client.HIncrBy(ctx, KeyRWS, KeyLastWalkID, int64(len(walks))).Result()
+	if err != nil {
+		return fmt.Errorf("failed to add walks: failed to increment ID: %w", err)
+	}
+
+	var visits, ID int
+	pipe := r.client.TxPipeline()
+
+	for i, walk := range walks {
+		visits += walk.Len()
+		ID = int(next) - len(walks) + i // assigning IDs in the same order
+
+		pipe.HSet(ctx, KeyWalks, ID, formatWalk(walk))
+		for _, node := range walk.Path {
+			pipe.SAdd(ctx, walksVisiting(node), ID)
+		}
+	}
+
+	pipe.HIncrBy(ctx, KeyRWS, KeyTotalVisits, int64(visits))
+
+	if _, err = pipe.Exec(ctx); err != nil {
+		return fmt.Errorf("failed to add walks: pipeline failed %w", err)
+	}
+
+	return nil
+}
+
+// RemoveWalks removes all the walks from the database.
+func (r RedisDB) RemoveWalks(ctx context.Context, walks ...walks.Walk) error {
+	if len(walks) == 0 {
+		return nil
+	}
+
+	var visits int
+	pipe := r.client.TxPipeline()
+
+	for _, walk := range walks {
+		pipe.HDel(ctx, KeyWalks, string(walk.ID))
+		for _, node := range walk.Path {
+			pipe.SRem(ctx, walksVisiting(node), string(walk.ID))
+		}
+
+		visits += walk.Len()
+	}
+
+	pipe.HIncrBy(ctx, KeyRWS, KeyTotalVisits, -int64(visits))
+
+	if _, err := pipe.Exec(ctx); err != nil {
+		return fmt.Errorf("failed to remove walks: pipeline failed %w", err)
+	}
+
+	return nil
+}
+
+func (r RedisDB) ReplaceWalks(ctx context.Context, before, after []walks.Walk) error {
+	if err := validateReplacement(before, after); err != nil {
+		return err
+	}
+
+	var visits int64
+	pipe := r.client.TxPipeline()
+
+	for i := range before {
+		div := walks.Divergence(before[i], after[i])
+		if div == -1 {
+			// the two walks are equal, skip
+			continue
+		}
+
+		prev := before[i]
+		next := after[i]
+		ID := string(after[i].ID)
+
+		pipe.HSet(ctx, KeyWalks, ID, formatWalk(next))
+
+		for _, node := range prev.Path[div:] {
+			pipe.SRem(ctx, walksVisiting(node), ID)
+			visits--
+		}
+
+		for _, node := range next.Path[div:] {
+			pipe.SAdd(ctx, walksVisiting(node), ID)
+			visits++
+		}
+
+		if pipe.Len() > 5000 {
+			// execute a partial update when it's too big
+			pipe.HIncrBy(ctx, KeyRWS, KeyTotalVisits, visits)
+
+			if _, err := pipe.Exec(ctx); err != nil {
+				return fmt.Errorf("failed to replace walks: pipeline failed %w", err)
+			}
+
+			pipe = r.client.TxPipeline()
+			visits = 0
+		}
+	}
+
+	pipe.HIncrBy(ctx, KeyRWS, KeyTotalVisits, visits)
+
+	if _, err := pipe.Exec(ctx); err != nil {
+		return fmt.Errorf("failed to replace walks: pipeline failed %w", err)
+	}
+
+	return nil
+}
+
+func validateReplacement(old, new []walks.Walk) error {
+	if len(old) != len(new) {
+		return fmt.Errorf("%w: old and new walks must have the same lenght", ErrInvalidReplacement)
+	}
+
+	seen := make(map[walks.ID]struct{})
+	for i := range old {
+		if old[i].ID != new[i].ID {
+			return fmt.Errorf("%w: IDs don't match at index %d: old=%s, new=%s", ErrInvalidReplacement, i, old[i].ID, new[i].ID)
+		}
+
+		if _, ok := seen[old[i].ID]; ok {
+			return fmt.Errorf("%w: repeated walk ID %s", ErrInvalidReplacement, old[i].ID)
+		}
+
+		seen[old[i].ID] = struct{}{}
+	}
+
+	return nil
+}
+
+// TotalVisits returns the total number of visits, which is the sum of the lengths of all walks.
+func (r RedisDB) TotalVisits(ctx context.Context) (int, error) {
+	total, err := r.client.HGet(ctx, KeyRWS, KeyTotalVisits).Result()
+	if err != nil {
+		return -1, fmt.Errorf("failed to get the total number of visits: %w", err)
+	}
+
+	tot, err := strconv.Atoi(total)
+	if err != nil {
+		return -1, fmt.Errorf("failed to parse the total number of visits: %w", err)
+	}
+
+	return tot, nil
+}
+
+// Visits returns the number of times each specified node was visited during the walks.
+// The returned slice contains counts in the same order as the input nodes.
+// If a node is not found, it returns 0 visits.
+func (r RedisDB) Visits(ctx context.Context, nodes ...graph.ID) ([]int, error) {
+	return r.counts(ctx, walksVisiting, nodes...)
+}
+
+func (r RedisDB) validateWalks() error {
+	vals, err := r.client.HMGet(context.Background(), KeyRWS, KeyAlpha, KeyWalksPerNode).Result()
+	if err != nil {
+		return fmt.Errorf("failed to fetch alpha and walksPerNode %w", err)
+	}
+
+	alpha, err := parseFloat(vals[0])
+	if err != nil {
+		return fmt.Errorf("failed to parse alpha: %w", err)
+	}
+
+	N, err := parseInt(vals[1])
+	if err != nil {
+		return fmt.Errorf("failed to parse walksPerNode: %w", err)
+	}
+
+	if math.Abs(alpha-walks.Alpha) > 1e-10 {
+		return errors.New("alpha and walks.Alpha are different")
+	}
+
+	if N != walks.N {
+		return errors.New("N and walks.N are different")
+	}
+
+	return nil
+}
diff --git a/pkg/redb/walks_test.go b/pkg/redb/walks_test.go
new file mode 100644
index 0000000..5dbca56
--- /dev/null
+++ b/pkg/redb/walks_test.go
@@ -0,0 +1,317 @@
+package redb
+
+import (
+	"errors"
+	"github/pippellia-btc/crawler/pkg/graph"
+	"github/pippellia-btc/crawler/pkg/walks"
+	"reflect"
+	"strconv"
+	"testing"
+
+	"github.com/redis/go-redis/v9"
+)
+
+func TestValidate(t *testing.T) {
+	tests := []struct {
+		name  string
+		setup func() (RedisDB, error)
+		err   error
+	}{
+		{name: "empty", setup: Empty, err: ErrValueIsNil},
+		{name: "valid", setup: SomeWalks(0)},
+	}
+
+	for _, test := range tests {
+		t.Run(test.name, func(t *testing.T) {
+			db, err := test.setup()
+			if err != nil {
+				t.Fatalf("setup failed: %v", err)
+			}
+			defer db.flushAll()
+
+			if err = db.validateWalks(); !errors.Is(err, test.err) {
+				t.Fatalf("expected error %v, got %v", test.err, err)
+			}
+		})
+	}
+}
+
+func TestWalksVisiting(t *testing.T) {
+	tests := []struct {
+		name          string
+		setup         func() (RedisDB, error)
+		limit         int
+		expectedWalks int // the number of [defaultWalk] returned
+	}{
+		{
+			name:          "empty",
+			setup:         SomeWalks(0),
+			limit:         1,
+			expectedWalks: 0,
+		},
+		{
+			name:          "all walks",
+			setup:         SomeWalks(10),
+			limit:         -1,
+			expectedWalks: 10,
+		},
+		{
+			name:          "some walks",
+			setup:         SomeWalks(100),
+			limit:         33,
+			expectedWalks: 33,
+		},
+	}
+
+	for _, test := range tests {
+		t.Run(test.name, func(t *testing.T) {
+			db, err := test.setup()
+			if err != nil {
+				t.Fatalf("setup failed: %v", err)
+			}
+			defer db.flushAll()
+
+			visiting, err := db.WalksVisiting(ctx, "0", test.limit)
+			if err != nil {
+				t.Fatalf("expected error nil, got %v", err)
+			}
+
+			if len(visiting) != test.expectedWalks {
+				t.Fatalf("expected %d walks, got %d", test.expectedWalks, len(visiting))
+			}
+
+			for _, walk := range visiting {
+				if !reflect.DeepEqual(walk.Path, defaultWalk.Path) {
+					// compare only the paths, not the IDs
+					t.Fatalf("expected walk %v, got %v", defaultWalk, walk)
+				}
+			}
+		})
+	}
+}
+
+func TestAddWalks(t *testing.T) {
+	db, err := SomeWalks(1)()
+	if err != nil {
+		t.Fatalf("setup failed: %v", err)
+	}
+	defer db.flushAll()
+
+	walks := []walks.Walk{
+		{ID: "1", Path: []graph.ID{"1", "2", "3"}},
+		{ID: "2", Path: []graph.ID{"4", "5"}},
+		{ID: "3", Path: []graph.ID{"a", "b", "c"}},
+	}
+
+	if err := db.AddWalks(ctx, walks...); err != nil {
+		t.Fatalf("expected error nil, got %v", err)
+	}
+
+	stored, err := db.Walks(ctx, "1", "2", "3")
+	if err != nil {
+		t.Fatalf("expected error nil, got %v", err)
+	}
+
+	if !reflect.DeepEqual(stored, walks) {
+		t.Fatalf("expected walks %v, got %v", walks, stored)
+	}
+
+	total, err := db.TotalVisits(ctx)
+	if err != nil {
+		t.Fatalf("expected error nil, got %v", err)
+	}
+
+	if total != 10 {
+		t.Fatalf("expected total visits %d, got %d", 10, total)
+	}
+}
+
+func TestRemoveWalks(t *testing.T) {
+	db, err := SomeWalks(10)()
+	if err != nil {
+		t.Fatalf("setup failed: %v", err)
+	}
+	defer db.flushAll()
+
+	walks := []walks.Walk{
+		{ID: "0", Path: defaultWalk.Path},
+		{ID: "1", Path: defaultWalk.Path},
+	}
+
+	if err := db.RemoveWalks(ctx, walks...); err != nil {
+		t.Fatalf("expected error nil, got %v", err)
+	}
+
+	total, err := db.TotalVisits(ctx)
+	if err != nil {
+		t.Fatalf("expected error nil, got %v", err)
+	}
+
+	expected := (10 - 2) * defaultWalk.Len()
+	if total != expected {
+		t.Fatalf("expected total %d, got %d", expected, total)
+	}
+
+	visits, err := db.Visits(ctx, "0")
+	if err != nil {
+		t.Fatalf("expected error nil, got %v", err)
+	}
+
+	expected = (10 - 2)
+	if visits[0] != expected {
+		t.Fatalf("expected visits %d, got %d", expected, visits[0])
+	}
+}
+
+func TestReplaceWalks(t *testing.T) {
+	t.Run("simple", func(t *testing.T) {
+		db, err := SomeWalks(2)()
+		if err != nil {
+			t.Fatalf("setup failed: %v", err)
+		}
+		defer db.flushAll()
+
+		before := []walks.Walk{
+			{ID: "0", Path: []graph.ID{"0", "1"}},
+			{ID: "1", Path: []graph.ID{"0", "1"}},
+		}
+
+		after := []walks.Walk{
+			{ID: "0", Path: []graph.ID{"0", "2", "3"}}, // changed
+			{ID: "1", Path: []graph.ID{"0", "1"}},
+		}
+
+		if err := db.ReplaceWalks(ctx, before, after); err != nil {
+			t.Fatalf("expected error nil, got %v", err)
+		}
+
+		walks, err := db.Walks(ctx, "0", "1")
+		if err != nil {
+			t.Fatalf("expected error nil, got %v", err)
+		}
+
+		if !reflect.DeepEqual(walks, after) {
+			t.Fatalf("expected walks %v, got %v", after, walks)
+		}
+
+		expected := []int{2, 1, 1, 1}
+		visits, err := db.Visits(ctx, "0", "1", "2", "3")
+		if err != nil {
+			t.Fatalf("expected error nil, got %v", err)
+		}
+
+		if !reflect.DeepEqual(visits, expected) {
+			t.Fatalf("expected visits %v, got %v", expected, visits)
+		}
+
+		total, err := db.TotalVisits(ctx)
+		if err != nil {
+			t.Fatalf("expected error nil, got %v", err)
+		}
+
+		if total != 5 {
+			t.Fatalf("expected total %d, got %d", 8, total)
+		}
+	})
+
+	t.Run("mass removal", func(t *testing.T) {
+		num := 10000
+		db, err := SomeWalks(num)()
+		if err != nil {
+			t.Fatalf("setup failed: %v", err)
+		}
+		defer db.flushAll()
+
+		before := make([]walks.Walk, num)
+		after := make([]walks.Walk, num)
+		for i := range num {
+			ID := walks.ID(strconv.Itoa(i))
+			before[i] = walks.Walk{ID: ID, Path: defaultWalk.Path} // the walk in the DB
+			after[i] = walks.Walk{ID: ID}                          // empty walk
+		}
+
+		if err := db.ReplaceWalks(ctx, before, after); err != nil {
+			t.Fatalf("expected error nil, got %v", err)
+		}
+		visits, err := db.Visits(ctx, "0", "1")
+		if err != nil {
+			t.Fatalf("expected error nil, got %v", err)
+		}
+
+		if !reflect.DeepEqual(visits, []int{0, 0}) {
+			t.Fatalf("expected visits %v, got %v", []int{0, 0}, visits)
+		}
+
+		total, err := db.TotalVisits(ctx)
+		if err != nil {
+			t.Fatalf("expected error nil, got %v", err)
+		}
+
+		if total != 0 {
+			t.Fatalf("expected total %d, got %d", 0, total)
+		}
+	})
+}
+
+func TestValidateReplacement(t *testing.T) {
+	tests := []struct {
+		name string
+		old  []walks.Walk
+		new  []walks.Walk
+		err  error
+	}{
+		{
+			name: "no walks",
+		},
+		{
+			name: "different lenght",
+			old:  []walks.Walk{{}},
+			err:  ErrInvalidReplacement,
+		},
+		{
+			name: "different IDs",
+			old:  []walks.Walk{{ID: "0"}, {ID: "1"}},
+			new:  []walks.Walk{{ID: "1"}, {ID: "0"}},
+			err:  ErrInvalidReplacement,
+		},
+		{
+			name: "repeated IDs",
+			old:  []walks.Walk{{ID: "0"}, {ID: "0"}},
+			new:  []walks.Walk{{ID: "0"}, {ID: "0"}},
+			err:  ErrInvalidReplacement,
+		},
+		{
+			name: "valid IDs",
+			old:  []walks.Walk{{ID: "0"}, {ID: "1"}},
+			new:  []walks.Walk{{ID: "0"}, {ID: "1"}},
+		},
+	}
+
+	for _, test := range tests {
+		t.Run(test.name, func(t *testing.T) {
+			err := validateReplacement(test.old, test.new)
+			if !errors.Is(err, test.err) {
+				t.Fatalf("expected error %v, got %v", test.err, err)
+			}
+		})
+	}
+}
+
+var defaultWalk = walks.Walk{Path: []graph.ID{"0", "1"}}
+
+func SomeWalks(n int) func() (RedisDB, error) {
+	return func() (RedisDB, error) {
+		db := RedisDB{client: redis.NewClient(&redis.Options{Addr: testAddress})}
+		if err := db.client.HSet(ctx, KeyRWS, KeyAlpha, walks.Alpha, KeyWalksPerNode, walks.N).Err(); err != nil {
+			return RedisDB{}, err
+		}
+
+		for range n {
+			if err := db.AddWalks(ctx, defaultWalk); err != nil {
+				return RedisDB{}, err
+			}
+		}
+
+		return db, nil
+	}
+}
diff --git a/pkg/walks/walks.go b/pkg/walks/walks.go
index 66f302d..0aea710 100644
--- a/pkg/walks/walks.go
+++ b/pkg/walks/walks.go
@@ -2,6 +2,7 @@ package walks
 
 import (
 	"context"
+	"errors"
 	"fmt"
 	"github/pippellia-btc/crawler/pkg/graph"
 	"math/rand/v2"
@@ -11,6 +12,8 @@ import (
 var (
 	Alpha = 0.85 // the dampening factor
 	N     = 100  // the walks per node
+
+	ErrInvalidRemoval = errors.New(fmt.Sprintf("the walks to be removed are different than the expected number %d", N))
 )
 
 // ID represent how walks are identified in the storage layer
@@ -28,11 +31,6 @@ type Walker interface {
 	Follows(ctx context.Context, node graph.ID) ([]graph.ID, error)
 }
 
-// New returns a new walk with a preallocated empty path
-func New(n int) Walk {
-	return Walk{Path: make([]graph.ID, 0, n)}
-}
-
 // Len returns the lenght of the walk
 func (w Walk) Len() int {
 	return len(w.Path)
@@ -80,6 +78,23 @@ func (w *Walk) Graft(path []graph.ID) {
 	w.Path = w.Path[:pos]
 }
 
+// Divergence returns the first index where w1 and w2 are different, -1 if equal.
+func Divergence(w1, w2 Walk) int {
+	min := min(w1.Len(), w2.Len())
+	for i := range min {
+		if w1.Path[i] != w2.Path[i] {
+			return i
+		}
+	}
+
+	if w1.Len() == w2.Len() {
+		// they are all equal, so no divergence
+		return -1
+	}
+
+	return min
+}
+
 // Generate [N] random walks for the specified node, using dampening factor [Alpha].
 // A walk stops early if a cycle is encountered.
 // Walk IDs are not set, because it's the responsibility of the storage layer.
@@ -146,19 +161,18 @@ func generate(ctx context.Context, walker Walker, start ...graph.ID) ([]graph.ID
 	return path, nil
 }
 
-// ToRemove returns the IDs of walks that needs to be removed.
+// ToRemove returns the walks that need to be removed.
 // It returns an error if the number of walks to remove differs from the expected [N].
-func ToRemove(node graph.ID, walks []Walk) ([]ID, error) {
-	toRemove := make([]ID, 0, N)
-
+func ToRemove(node graph.ID, walks []Walk) ([]Walk, error) {
+	toRemove := make([]Walk, 0, N)
 	for _, walk := range walks {
-		if walk.Index(node) != -1 {
-			toRemove = append(toRemove, walk.ID)
+		if walk.Index(node) == 0 {
+			toRemove = append(toRemove, walk)
 		}
 	}
 
 	if len(toRemove) != N {
-		return toRemove, fmt.Errorf("walks to be removed (%d) are different than expected (%d)", len(toRemove), N)
+		return nil, fmt.Errorf("ToRemove: %w: %d", ErrInvalidRemoval, len(toRemove))
 	}
 
 	return toRemove, nil
diff --git a/pkg/walks/walks_test.go b/pkg/walks/walks_test.go
index c1a2c61..860240b 100644
--- a/pkg/walks/walks_test.go
+++ b/pkg/walks/walks_test.go
@@ -2,6 +2,7 @@ package walks
 
 import (
 	"context"
+	"errors"
 	"fmt"
 	"github/pippellia-btc/crawler/pkg/graph"
 	"math"
@@ -53,6 +54,53 @@ func TestGenerate(t *testing.T) {
 	})
 }
 
+func TestToRemove(t *testing.T) {
+	N = 3
+	tests := []struct {
+		name     string
+		walks    []Walk
+		toRemove []Walk
+		err      error
+	}{
+		{
+			name: "no walks",
+			err:  ErrInvalidRemoval,
+		},
+		{
+			name:  "too few walks to remove",
+			walks: []Walk{{Path: []graph.ID{"0", "1"}}},
+			err:   ErrInvalidRemoval,
+		},
+		{
+			name: "valid",
+			walks: []Walk{
+				{Path: []graph.ID{"0", "1"}},
+				{Path: []graph.ID{"0", "2"}},
+				{Path: []graph.ID{"0", "3"}},
+				{Path: []graph.ID{"1", "0"}},
+			},
+			toRemove: []Walk{
+				{Path: []graph.ID{"0", "1"}},
+				{Path: []graph.ID{"0", "2"}},
+				{Path: []graph.ID{"0", "3"}},
+			},
+		},
+	}
+
+	for _, test := range tests {
+		t.Run(test.name, func(t *testing.T) {
+			toRemove, err := ToRemove("0", test.walks)
+			if !errors.Is(err, test.err) {
+				t.Fatalf("expected error %v, got %v", test.err, err)
+			}
+
+			if !reflect.DeepEqual(toRemove, test.toRemove) {
+				t.Fatalf("expected walks to remove %v, got %v", test.toRemove, toRemove)
+			}
+		})
+	}
+}
+
 func TestUpdateRemove(t *testing.T) {
 	walker := NewWalker(map[graph.ID][]graph.ID{
 		"0": {"3"},
@@ -85,6 +133,26 @@ func TestUpdateRemove(t *testing.T) {
 	}
 }
 
+func TestDivergence(t *testing.T) {
+	tests := []struct {
+		w1       Walk
+		w2       Walk
+		expected int
+	}{
+		{w1: Walk{Path: []graph.ID{"0"}}, w2: Walk{Path: []graph.ID{"0", "1"}}, expected: 1},
+		{w1: Walk{Path: []graph.ID{"0", "1", "69"}}, w2: Walk{Path: []graph.ID{"0", "1"}}, expected: 2},
+		{w1: Walk{Path: []graph.ID{"0", "1", "69"}}, w2: Walk{Path: []graph.ID{"0", "1", "420"}}, expected: 2},
+		{w1: Walk{Path: []graph.ID{"a", "b", "c"}}, w2: Walk{Path: []graph.ID{"a", "b", "c"}}, expected: -1},
+		{expected: -1},
+	}
+
+	for i, test := range tests {
+		if div := Divergence(test.w1, test.w2); div != test.expected {
+			t.Fatalf("test %d: expected %d, got %v", i, test.expected, div)
+		}
+	}
+}
+
 func TestFindCycle(t *testing.T) {
 	tests := []struct {
 		list     []graph.ID