diff --git a/flow/default.go b/flow/default.go
index 57f0b8e9..67a4225a 100644
--- a/flow/default.go
+++ b/flow/default.go
@@ -6,7 +6,7 @@ import (
 	"path/filepath"
 	"sync"
 
-	"github.com/silas/dag"
+	"github.com/heimdalr/dag"
 	"go.unistack.org/micro/v3/client"
 	"go.unistack.org/micro/v3/codec"
 	"go.unistack.org/micro/v3/logger"
@@ -21,7 +21,7 @@ type microFlow struct {
 
 type microWorkflow struct {
 	opts   Options
-	g      *dag.AcyclicGraph
+	g      *dag.DAG
 	steps  map[string]Step
 	id     string
 	status Status
@@ -42,29 +42,32 @@ func (w *microWorkflow) Status() Status {
 }
 
 func (w *microWorkflow) AppendSteps(steps ...Step) error {
+	var err error
 	w.Lock()
 
 	for _, s := range steps {
 		w.steps[s.String()] = s
-		w.g.Add(s)
+		if _, err = w.g.AddVertex(s); err != nil {
+			w.Unlock()
+			return err
+		}
 	}
 
 	for _, dst := range steps {
 		for _, req := range dst.Requires() {
 			src, ok := w.steps[req]
 			if !ok {
+				w.Unlock()
 				return ErrStepNotExists
 			}
-			w.g.Connect(dag.BasicEdge(src, dst))
+			if err = w.g.AddEdge(src.String(), dst.String()); err != nil {
+				w.Unlock()
+				return err
+			}
 		}
 	}
 
-	if err := w.g.Validate(); err != nil {
-		w.Unlock()
-		return err
-	}
-
-	w.g.TransitiveReduction()
+	w.g.ReduceTransitively()
 
 	w.Unlock()
 
@@ -78,32 +81,28 @@ func (w *microWorkflow) RemoveSteps(steps ...Step) error {
 
 	for _, s := range steps {
 		delete(w.steps, s.String())
-		w.g.Remove(s)
+		w.g.DeleteVertex(s.String())
 	}
 
 	for _, dst := range steps {
 		for _, req := range dst.Requires() {
 			src, ok := w.steps[req]
 			if !ok {
+				w.Unlock()
 				return ErrStepNotExists
 			}
-			w.g.Connect(dag.BasicEdge(src, dst))
+			w.g.AddEdge(src.String(), dst.String())
 		}
 	}
 
-	if err := w.g.Validate(); err != nil {
-		w.Unlock()
-		return err
-	}
-
-	w.g.TransitiveReduction()
+	w.g.ReduceTransitively()
 
 	w.Unlock()
 
 	return nil
 }
 
-func (w *microWorkflow) getSteps(start string, reverse bool) ([][]Step, error) {
+func (w *microWorkflow) getSteps(start string) ([][]Step, error) {
 	var steps [][]Step
 	var root dag.Vertex
 	var err error
@@ -137,11 +136,8 @@ func (w *microWorkflow) getSteps(start string, reverse bool) ([][]Step, error) {
 		}
 	}
 
-	if reverse {
-		err = w.g.SortedReverseDepthFirstWalk([]dag.Vertex{root}, fn)
-	} else {
-		err = w.g.SortedDepthFirstWalk([]dag.Vertex{root}, fn)
-	}
+	err = w.g.SortedDepthFirstWalk(root, fn)
+
 	if err != nil {
 		return nil, err
 	}
@@ -167,11 +163,7 @@ func (w *microWorkflow) Resume(ctx context.Context, id string) error {
 func (w *microWorkflow) Execute(ctx context.Context, req *Message, opts ...ExecuteOption) (string, error) {
 	w.Lock()
 	if !w.init {
-		if err := w.g.Validate(); err != nil {
-			w.Unlock()
-			return "", err
-		}
-		w.g.TransitiveReduction()
+		w.g.ReduceTransitively()
 		w.init = true
 	}
 	w.Unlock()
@@ -186,7 +178,7 @@ func (w *microWorkflow) Execute(ctx context.Context, req *Message, opts ...Execu
 
 	options := NewExecuteOptions(opts...)
 
-	steps, err := w.getSteps(options.Start, options.Reverse)
+	steps, err := w.getSteps(options.Start)
 	if err != nil {
 		if werr := workflowStore.Write(w.opts.Context, "status", &codec.Frame{Data: []byte(StatusPending.String())}); werr != nil {
 			w.opts.Logger.Errorf(w.opts.Context, "store error: %v", werr)
@@ -386,11 +378,11 @@ func (f *microFlow) WorkflowList(ctx context.Context) ([]Workflow, error) {
 }
 
 func (f *microFlow) WorkflowCreate(ctx context.Context, id string, steps ...Step) (Workflow, error) {
-	w := &microWorkflow{opts: f.opts, id: id, g: &dag.AcyclicGraph{}, steps: make(map[string]Step, len(steps))}
+	w := &microWorkflow{opts: f.opts, id: id, g: &dag.DAG{}, steps: make(map[string]Step, len(steps))}
 
 	for _, s := range steps {
 		w.steps[s.String()] = s
-		w.g.Add(s)
+		w.g.AddVertex(s)
 	}
 
 	for _, dst := range steps {
@@ -399,14 +391,11 @@ func (f *microFlow) WorkflowCreate(ctx context.Context, id string, steps ...Step
 			if !ok {
 				return nil, ErrStepNotExists
 			}
-			w.g.Connect(dag.BasicEdge(src, dst))
+			w.g.AddEdge(src.String(), dst.String())
 		}
 	}
 
-	if err := w.g.Validate(); err != nil {
-		return nil, err
-	}
-	w.g.TransitiveReduction()
+	w.g.ReduceTransitively()
 
 	w.init = true
 
diff --git a/flow/options.go b/flow/options.go
index 2e03b561..a8901471 100644
--- a/flow/options.go
+++ b/flow/options.go
@@ -123,8 +123,6 @@ type ExecuteOptions struct {
 	Start string
 	// Timeout for execution
 	Timeout time.Duration
-	// Reverse execution
-	Reverse bool
 	// Async enables async execution
 	Async bool
 }
@@ -167,13 +165,6 @@ func ExecuteContext(ctx context.Context) ExecuteOption {
 	}
 }
 
-// ExecuteReverse says that dag must be run in reverse order
-func ExecuteReverse(b bool) ExecuteOption {
-	return func(o *ExecuteOptions) {
-		o.Reverse = b
-	}
-}
-
 // ExecuteTimeout pass timeout time.Duration for execution
 func ExecuteTimeout(td time.Duration) ExecuteOption {
 	return func(o *ExecuteOptions) {
diff --git a/go.mod b/go.mod
index b0b4ccf1..575137ce 100644
--- a/go.mod
+++ b/go.mod
@@ -3,13 +3,15 @@ module go.unistack.org/micro/v3
 go 1.16
 
 require (
-	github.com/google/gnostic v0.6.8 // indirect
+	github.com/google/gnostic v0.6.9 // indirect
 	github.com/google/go-cmp v0.5.7 // indirect
+	github.com/heimdalr/dag v1.2.1
 	github.com/imdario/mergo v0.3.13
 	github.com/kr/pretty v0.2.1 // indirect
 	github.com/kr/text v0.2.0 // indirect
 	github.com/patrickmn/go-cache v2.1.0+incompatible
-	github.com/silas/dag v0.0.0-20211117232152-9d50aa809f35
+	github.com/silas/dag v0.0.0-20220518035006-a7e85ada93c5
 	go.unistack.org/micro-proto/v3 v3.2.7
 	google.golang.org/protobuf v1.28.0 // indirect
+	gopkg.in/yaml.v3 v3.0.1 // indirect
 )
diff --git a/go.sum b/go.sum
index c4a660fa..3e9f86c1 100644
--- a/go.sum
+++ b/go.sum
@@ -14,6 +14,8 @@ github.com/creack/pty v1.1.9/go.mod h1:oKZEueFk5CKHvIhNR5MUki03XCEU+Q6VDXinZuGJ3
 github.com/davecgh/go-spew v1.1.0/go.mod h1:J7Y8YcW2NihsgmVo/mv3lAwl/skON4iLHjSsI+c5H38=
 github.com/davecgh/go-spew v1.1.1/go.mod h1:J7Y8YcW2NihsgmVo/mv3lAwl/skON4iLHjSsI+c5H38=
 github.com/docopt/docopt-go v0.0.0-20180111231733-ee0de3bc6815/go.mod h1:WwZ+bS3ebgob9U8Nd0kOddGdZWjyMGR8Wziv+TBNwSE=
+github.com/emirpasic/gods v1.18.1 h1:FXtiHYKDGKCW2KzwZKx0iC0PQmdlorYgdFG9jPXJ1Bc=
+github.com/emirpasic/gods v1.18.1/go.mod h1:8tpGGwCnJ5H4r6BWwaV6OrWmMoPhUl5jm/FMNAnJvWQ=
 github.com/envoyproxy/go-control-plane v0.9.0/go.mod h1:YTl/9mNaCwkRvm6d1a2C3ymFceY/DCBVvsKhRF0iEA4=
 github.com/envoyproxy/go-control-plane v0.9.1-0.20191026205805-5f8ba28d4473/go.mod h1:YTl/9mNaCwkRvm6d1a2C3ymFceY/DCBVvsKhRF0iEA4=
 github.com/envoyproxy/go-control-plane v0.9.4/go.mod h1:6rpuAdCZL397s3pYoYcLgu1mIlRU8Am5FuJP05cCM98=
@@ -22,6 +24,8 @@ github.com/envoyproxy/go-control-plane v0.9.9-0.20210512163311-63b5d3c536b0/go.m
 github.com/envoyproxy/protoc-gen-validate v0.1.0/go.mod h1:iSmxcyjqTsJpI2R4NaDN7+kN2VEUnK/pcBlmesArF7c=
 github.com/flowstack/go-jsonschema v0.1.1/go.mod h1:yL7fNggx1o8rm9RlgXv7hTBWxdBM0rVwpMwimd3F3N0=
 github.com/ghodss/yaml v1.0.0/go.mod h1:4dBDuWmgqj2HViK6kFavaiC9ZROes6MMH2rRYeMEF04=
+github.com/go-test/deep v1.0.7 h1:/VSMRlnY/JSyqxQUzQLKVMAskpY/NZKFA5j2P+0pP2M=
+github.com/go-test/deep v1.0.7/go.mod h1:QV8Hv/iy04NyLBxAdO9njL0iVPN1S4d/A3NVv1V36o8=
 github.com/golang/glog v0.0.0-20160126235308-23def4e6c14b/go.mod h1:SBH7ygxi8pfUlaOkMMuAQtPIUF8ecWP5IEl/CR7VP2Q=
 github.com/golang/mock v1.1.1/go.mod h1:oTYuIxOrZwtPieC+H1uAHpcLFnEyAGVDL/k47Jfbm0A=
 github.com/golang/protobuf v1.2.0/go.mod h1:6lQm79b+lXiMfvg/cZm0SGofjICqVBUtrP5yJMmIC1U=
@@ -39,8 +43,8 @@ github.com/golang/protobuf v1.5.0/go.mod h1:FsONVRAS9T7sI+LIUmWTfcYkHO4aIWwzhcaS
 github.com/golang/protobuf v1.5.2 h1:ROPKBNFfQgOUMifHyP+KYbvpjbdoFNs+aK7DXlji0Tw=
 github.com/golang/protobuf v1.5.2/go.mod h1:XVQd3VNwM+JqD3oG2Ue2ip4fOMUkwXdXDdiuN0vRsmY=
 github.com/google/gnostic v0.6.6/go.mod h1:Nm8234We1lq6iB9OmlgNv3nH91XLLVZHCDayfA3xq+E=
-github.com/google/gnostic v0.6.8 h1:bT56GPYBWh1tvBuBEd94qcS3+60b+y0HQur0ITkGuCk=
-github.com/google/gnostic v0.6.8/go.mod h1:Nm8234We1lq6iB9OmlgNv3nH91XLLVZHCDayfA3xq+E=
+github.com/google/gnostic v0.6.9 h1:ZK/5VhkoX835RikCHpSUJV9a+S3e1zLh59YnyWeBW+0=
+github.com/google/gnostic v0.6.9/go.mod h1:Nm8234We1lq6iB9OmlgNv3nH91XLLVZHCDayfA3xq+E=
 github.com/google/go-cmp v0.2.0/go.mod h1:oXzfMopK8JAjlY9xF4vHSVASa0yLyX7SntLO5aqRK0M=
 github.com/google/go-cmp v0.3.0/go.mod h1:8QqcDgzrUqlUb/G2PQTWiueGozuR1884gddMywk6iLU=
 github.com/google/go-cmp v0.3.1/go.mod h1:8QqcDgzrUqlUb/G2PQTWiueGozuR1884gddMywk6iLU=
@@ -49,8 +53,11 @@ github.com/google/go-cmp v0.5.0/go.mod h1:v8dTdLbMG2kIc/vJvl+f65V22dbkXbowE6jgT/
 github.com/google/go-cmp v0.5.5/go.mod h1:v8dTdLbMG2kIc/vJvl+f65V22dbkXbowE6jgT/gNBxE=
 github.com/google/go-cmp v0.5.7 h1:81/ik6ipDQS2aGcBfIN5dHDB36BwrStyeAQquSYCV4o=
 github.com/google/go-cmp v0.5.7/go.mod h1:n+brtR0CgQNWTVd5ZUFpTBC8YFBDLK/h/bpaJ8/DtOE=
+github.com/google/uuid v1.1.2 h1:EVhdT+1Kseyi1/pUmXKaFxYsDNy9RQYkMWRH68J/W7Y=
 github.com/google/uuid v1.1.2/go.mod h1:TIyPZe4MgqvfeYDBFedMoGGpEw/LqOeaOT+nhxU+yHo=
 github.com/grpc-ecosystem/grpc-gateway v1.16.0/go.mod h1:BDjrQk3hbvj6Nolgz8mAMFbcEtjT1g+wF4CSlocrBnw=
+github.com/heimdalr/dag v1.2.1 h1:XJOMaoWqJK1UKdp+4zaO2uwav9GFbHMGCirdViKMRIQ=
+github.com/heimdalr/dag v1.2.1/go.mod h1:Of/wUB7Yoj4dwiOcGOOYIq6MHlPF/8/QMBKFJpwg+yc=
 github.com/imdario/mergo v0.3.13 h1:lFzP57bqS/wsqKssCGmtLAb8A0wKjLGrve2q3PPVcBk=
 github.com/imdario/mergo v0.3.13/go.mod h1:4lJ1jqUDcsbIECGy0RUJAXNIhg+6ocWgb1ALK2O4oXg=
 github.com/kr/pretty v0.2.0/go.mod h1:ipq/a2n7PKx3OHsz4KJII5eveXtPO4qwEXGdVfWzfnI=
@@ -65,8 +72,8 @@ github.com/patrickmn/go-cache v2.1.0+incompatible/go.mod h1:3Qf8kWWT7OJRJbdiICTK
 github.com/pmezard/go-difflib v1.0.0/go.mod h1:iKH77koFhYxTK1pcRnkKkqfTogsbg7gZNVY4sRDYZ/4=
 github.com/prometheus/client_model v0.0.0-20190812154241-14fe0d1b01d4/go.mod h1:xMI15A0UPsDsEKsMN9yxemIoYk6Tm2C1GtYGdfGttqA=
 github.com/rogpeppe/fastuuid v1.2.0/go.mod h1:jVj6XXZzXRy/MSR5jhDC/2q6DgLz+nrA6LYCDYWNEvQ=
-github.com/silas/dag v0.0.0-20211117232152-9d50aa809f35 h1:4mohWoM/UGg1BvFFiqSPRl5uwJY3rVV0HQX0ETqauqQ=
-github.com/silas/dag v0.0.0-20211117232152-9d50aa809f35/go.mod h1:7RTUFBdIRC9nZ7/3RyRNH1bdqIShrDejd1YbLwgPS+I=
+github.com/silas/dag v0.0.0-20220518035006-a7e85ada93c5 h1:G/FZtUu7a6NTWl3KUHMV9jkLAh/Rvtf03NWMHaEDl+E=
+github.com/silas/dag v0.0.0-20220518035006-a7e85ada93c5/go.mod h1:7RTUFBdIRC9nZ7/3RyRNH1bdqIShrDejd1YbLwgPS+I=
 github.com/spaolacci/murmur3 v0.0.0-20180118202830-f09979ecbc72/go.mod h1:JwIasOWyU6f++ZhiEuf87xNszmSA2myDM2Kzu9HwQUA=
 github.com/stoewer/go-strcase v1.2.0/go.mod h1:IBiWB2sKIp3wVVQ3Y035++gc+knqhUQag1KpM8ahLw8=
 github.com/stretchr/objx v0.1.0/go.mod h1:HFkY916IF+rwdDfMAkV7OtwuqBVzrE8GR6GFx+wExME=
@@ -155,7 +162,8 @@ gopkg.in/yaml.v2 v2.2.2/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=
 gopkg.in/yaml.v2 v2.2.3/go.mod h1:hI93XBmqTisBFMUTm0b8Fm+jr3Dg1NNxqwp+5A1VGuI=
 gopkg.in/yaml.v3 v3.0.0-20200615113413-eeeca48fe776/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
 gopkg.in/yaml.v3 v3.0.0-20210107192922-496545a6307b/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
-gopkg.in/yaml.v3 v3.0.0 h1:hjy8E9ON/egN1tAYqKb61G10WtihqetD4sz2H+8nIeA=
 gopkg.in/yaml.v3 v3.0.0/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
+gopkg.in/yaml.v3 v3.0.1 h1:fxVm/GzAzEWqLHuvctI91KS9hhNmmWOoWu0XTYJS7CA=
+gopkg.in/yaml.v3 v3.0.1/go.mod h1:K4uyk7z7BCEPqu6E+C64Yfv1cQ7kz7rIZviUmN+EgEM=
 honnef.co/go/tools v0.0.0-20190102054323-c2f93a96b099/go.mod h1:rf3lG4BRIbNafJWhAfAdb/ePZxsR/4RtNHQocxwk9r4=
 honnef.co/go/tools v0.0.0-20190523083050-ea95bdfd59fc/go.mod h1:rf3lG4BRIbNafJWhAfAdb/ePZxsR/4RtNHQocxwk9r4=