diff --git a/Project/Python Progs/graph.py b/Project/Python Progs/graph.py
new file mode 100644
index 00000000..06084f4a
--- /dev/null
+++ b/Project/Python Progs/graph.py	
@@ -0,0 +1,26 @@
+class Graph:
+    def __init__(self):
+        self.graph = {}
+
+    def add_vertex(self, vertex):
+        if vertex not in self.graph:
+            self.graph[vertex] = []
+
+    def add_edge(self, vertex1, vertex2):
+        if vertex1 in self.graph and vertex2 in self.graph:
+            self.graph[vertex1].append(vertex2)
+            self.graph[vertex2].append(vertex1)
+
+    def display(self):
+        for vertex, neighbors in self.graph.items():
+            print(f"{vertex}: {neighbors}")
+
+# Example usage:
+if __name__ == "__main__":
+    graph = Graph()
+    graph.add_vertex("A")
+    graph.add_vertex("B")
+    graph.add_vertex("C")
+    graph.add_edge("A", "B")
+    graph.add_edge("B", "C")
+    graph.display()