diff --git a/BE-Graphes/be-graphes-model/src/main/java/org/insa/graphs/model/Path.java b/BE-Graphes/be-graphes-model/src/main/java/org/insa/graphs/model/Path.java
index 7580981..9c00acc 100644
--- a/BE-Graphes/be-graphes-model/src/main/java/org/insa/graphs/model/Path.java
+++ b/BE-Graphes/be-graphes-model/src/main/java/org/insa/graphs/model/Path.java
@@ -4,6 +4,7 @@ import java.util.ArrayList;
 import java.util.Collections;
 import java.util.List;
 
+
 /**
  * <p>
  * Class representing a path between nodes in a graph.
@@ -25,12 +26,21 @@ public class Path {
      * @return A path that goes through the given list of nodes.
      * @throws IllegalArgumentException If the list of nodes is not valid, i.e. two
      *         consecutive nodes in the list are not connected in the graph.
-     * @deprecated Need to be implemented.
      */
     public static Path createFastestPathFromNodes(Graph graph, List<Node> nodes)
             throws IllegalArgumentException {
+        List<Arc> arcs_parcourus = new ArrayList<Arc>();
         List<Arc> arcs = new ArrayList<Arc>();
-        // TODO:
+        double time_min = Float.MAX_VALUE;
+                for (Node node: nodes){
+                    arcs_parcourus=node.getSuccessors();
+                    for (Arc arc : arcs_parcourus){
+                        if (arc.getMinimumTravelTime()<time_min){
+                            time_min=arc.getLength();
+                            arcs.add(arc);
+                        }
+                    }
+                }
         return new Path(graph, arcs);
     }
 
@@ -43,12 +53,21 @@ public class Path {
      * @return A path that goes through the given list of nodes.
      * @throws IllegalArgumentException If the list of nodes is not valid, i.e. two
      *         consecutive nodes in the list are not connected in the graph.
-     * @deprecated Need to be implemented.
      */
     public static Path createShortestPathFromNodes(Graph graph, List<Node> nodes)
             throws IllegalArgumentException {
         List<Arc> arcs = new ArrayList<Arc>();
-        // TODO:
+        List<Arc> arcs_parcourus = new ArrayList<Arc>();
+        float len_min = Float.MAX_VALUE;
+                for (Node node: nodes){
+                    arcs_parcourus=node.getSuccessors();
+                    for (Arc arc : arcs_parcourus){
+                        if (arc.getLength()<len_min){
+                            len_min=arc.getLength();
+                            arcs.add(arc);
+                        }
+                    }
+                }
         return new Path(graph, arcs);
     }
 
@@ -187,8 +206,14 @@ public class Path {
      * @deprecated Need to be implemented.
      */
     public boolean isValid() {
-        // TODO:
-        return false;
+        boolean valid = false;
+        boolean empty = this.isEmpty();
+        boolean unique_origin = ((this.getOrigin()!=null) && this.getArcs().isEmpty());
+
+        if( empty || unique_origin ){
+            valid=true;
+        }
+        return valid;
     }
 
     /**
diff --git a/BE-Graphes/pom.xml b/BE-Graphes/pom.xml
index c49402a..915abdb 100644
--- a/BE-Graphes/pom.xml
+++ b/BE-Graphes/pom.xml
@@ -11,7 +11,7 @@
 	<name>be-graphes-all</name>
 
 	<properties>
-		<jdk.version>17</jdk.version>
+		<jdk.version>11</jdk.version>
 		<maven.compiler.source>${jdk.version}</maven.compiler.source>
 		<maven.compiler.target>${jdk.version}</maven.compiler.target>
 		<project.build.sourceEncoding>UTF-8</project.build.sourceEncoding>