Cycles in a graph

Procedure

Task 1

  • To draw Hamiltonian cycle click edges to form a closed loop, by finishing at the starting node and visiting each node exactly once.
  • If hamiltonian cycle exists, select the edges in correct order to draw hamiltonian cycle, then click submit .
  • If there is no hamiltonian cycle, click submit without selecting any edge.
  • Check the answer and explanation in the observation window.
  • Click change graph button to get new graph.

Task 2

  • Validate If the graph is Eulerian or not using the buttons in Observation window.
  • Check the answer in the observation window
  • Click change graph button to get new graph.

Task 3

  • Find the shortest weighted route to visit all the nodes once and returns to the origin node.
  • Select the edges in order to draw the Shortest weighted path.
  • Check the answer in the observation window
  • Click change graph button to get new graph.