Question: 1. If R X S is a Eulerian graph then both R and S are Eulerian? Prove or Disprove 2. If R X S is

1. If R X S is a Eulerian graph then both R and S are Eulerian? Prove or Disprove

2. If R X S is a Hamiltonian graph then both R and S are Hamiltonian? Prove or Disprove

3. Please draw a graph with 5 vertices and an edge independence number 3 (also could you explain edge independence!!!!!)

4. Please draw a graph with 5 vertices and an edge independence number 2?

How do you draw a Petersen Graph, and what is the vertex independence number of the Petersen Graph. Also, what is the diameter?

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