diff --git a/core-java/src/main/java/com/baeldung/graph/Graph.java b/core-java/src/main/java/com/baeldung/graph/Graph.java
new file mode 100644
index 0000000000..7095f64709
--- /dev/null
+++ b/core-java/src/main/java/com/baeldung/graph/Graph.java
@@ -0,0 +1,112 @@
+package com.baeldung.graph;
+
+import java.util.HashMap;
+import java.util.HashSet;
+import java.util.Map;
+import java.util.Set;
+import java.util.stream.Collectors;
+
+public class Graph {
+    private Set<Vertex> vertices;
+    private Set<Edge> edges;
+    private Map<Vertex, Set<Edge>> adjVertices;
+
+    Graph() {
+        this.vertices = new HashSet<Vertex>();
+        this.edges = new HashSet<Edge>();
+        this.adjVertices = new HashMap<Vertex, Set<Edge>>();
+    }
+
+    boolean addVertex(String label) {
+        return vertices.add(new Vertex(label));
+    }
+
+    boolean removeVertex(String label) {
+        return vertices.remove(new Vertex(label));
+    }
+
+    boolean addEdge(String label1, String label2) {
+        Vertex v1 = new Vertex(label1);
+        Vertex v2 = new Vertex(label2);
+        Edge e = new Edge(v1, v2);
+        if (this.edges.add(e)) {
+            adjVertices.putIfAbsent(v1, new HashSet<>());
+            adjVertices.putIfAbsent(v2, new HashSet<>());
+            adjVertices.get(v1)
+                .add(e);
+            adjVertices.get(v2)
+                .add(e);
+        }
+        return true;
+    }
+
+    boolean removeEdge(String label1, String label2) {
+        Vertex v1 = new Vertex(label1);
+        Vertex v2 = new Vertex(label2);
+        Edge e = new Edge(v1, v2);
+        if (this.edges.remove(e)) {
+            Set<Edge> eV1 = adjVertices.get(v1);
+            Set<Edge> eV2 = adjVertices.get(v2);
+
+            if (eV1 != null)
+                eV1.remove(e);
+            if (eV2 != null)
+                eV2.remove(e);
+        }
+        return true;
+    }
+
+    Set<Vertex> getAdjVertices(String label) {
+        Vertex v = new Vertex(label);
+        return adjVertices.get(v)
+            .stream()
+            .map(e -> e.v1.equals(v) ? e.v2 : e.v1)
+            .collect(Collectors.toSet());
+    }
+
+    class Vertex {
+        String label;
+        Vertex(String label) {
+            this.label = label;
+        }
+        @Override
+        public boolean equals(Object obj) {
+            Vertex vertex = (Vertex) obj;
+            return vertex.label == label;
+        }
+        @Override
+        public int hashCode() {
+            return label.hashCode();
+        }
+        @Override
+        public String toString() {
+            return label;
+        }
+    }
+
+    class Edge {
+        Vertex v1;
+        Vertex v2;
+        Edge(String label1, String label2) {
+            this.v1 = new Vertex(label1);
+            this.v2 = new Vertex(label2);
+        }
+        Edge(Vertex vertex1, Vertex vertex2) {
+            this.v1 = vertex1;
+            this.v2 = vertex2;
+        }
+        @Override
+        public boolean equals(Object obj) {
+            Edge edge = (Edge) obj;
+            return edge.v1.equals(v1) && edge.v2.equals(v2);
+        }
+        @Override
+        public int hashCode() {
+            return v1.hashCode() + v2.hashCode();
+        }
+        @Override
+        public String toString() {
+            return v1.label + "-" + v2.label;
+        }
+    }
+}
\ No newline at end of file
diff --git a/core-java/src/main/java/com/baeldung/graph/GraphTraversal.java b/core-java/src/main/java/com/baeldung/graph/GraphTraversal.java
new file mode 100644
index 0000000000..479e653a5c
--- /dev/null
+++ b/core-java/src/main/java/com/baeldung/graph/GraphTraversal.java
@@ -0,0 +1,44 @@
+package com.baeldung.graph;
+
+import java.util.LinkedHashSet;
+import java.util.LinkedList;
+import java.util.Queue;
+import java.util.Set;
+import java.util.Stack;
+
+import com.baeldung.graph.Graph.Vertex;
+
+public class GraphTraversal {
+    static Set<String> depthFirstTraversal(Graph graph, String root) {
+        Set<String> visited = new LinkedHashSet<String>();
+        Stack<String> stack = new Stack<String>();
+        stack.push(root);
+        while (!stack.isEmpty()) {
+            String vertex = stack.pop();
+            if (!visited.contains(vertex)) {
+                visited.add(vertex);
+                for (Vertex v : graph.getAdjVertices(vertex)) {              
+                    stack.push(v.label);
+                }
+            }
+        }
+        return visited;
+    }
+
+    static Set<String> breadthFirstTraversal(Graph graph, String root) {
+        Set<String> visited = new LinkedHashSet<String>();
+        Queue<String> queue = new LinkedList<String>();
+        queue.add(root);
+        visited.add(root);
+        while (!queue.isEmpty()) {
+            String vertex = queue.poll();
+            for (Vertex v : graph.getAdjVertices(vertex)) {
+                if (!visited.contains(v.label)) {
+                    visited.add(v.label);
+                    queue.add(v.label);
+                }
+            }
+        }
+        return visited;
+    }
+}
\ No newline at end of file
diff --git a/core-java/src/test/java/com/baeldung/graph/GraphTraversalUnitTest.java b/core-java/src/test/java/com/baeldung/graph/GraphTraversalUnitTest.java
new file mode 100644
index 0000000000..84611a580a
--- /dev/null
+++ b/core-java/src/test/java/com/baeldung/graph/GraphTraversalUnitTest.java
@@ -0,0 +1,36 @@
+package com.baeldung.graph;
+
+import org.junit.Assert;
+import org.junit.Test;
+
+public class GraphTraversalUnitTest {
+    @Test
+    public void givenAGraph_whenTraversingDepthFirst_thenExpectedResult() {
+        Graph graph = createGraph();
+        Assert.assertEquals("[A, D, E, B, C]", 
+            GraphTraversal.depthFirstTraversal(graph, "A").toString());
+    }
+    
+    @Test
+    public void givenAGraph_whenTraversingBreadthFirst_thenExpectedResult() {
+        Graph graph = createGraph();
+        Assert.assertEquals("[A, B, D, C, E]", 
+            GraphTraversal.breadthFirstTraversal(graph, "A").toString());
+    }
+    
+    Graph createGraph() {
+        Graph graph = new Graph();
+        graph.addVertex("A");
+        graph.addVertex("B");
+        graph.addVertex("C");
+        graph.addVertex("D");
+        graph.addVertex("E");
+        graph.addEdge("A", "B");
+        graph.addEdge("A", "D");
+        graph.addEdge("B", "C");
+        graph.addEdge("D", "C");
+        graph.addEdge("B", "E");
+        graph.addEdge("D", "E"); 
+        return graph;
+    }
+}
\ No newline at end of file