Draw a subgraph of G that is a tree but not a path. Label the vertices. (c) Find a proper vertex coloring of G. (If you don't have dierent colored pens, label the vertices with red, blue, etc.) What is the chromatic number of G? (d) Find a Hamilton cycle of G by listing its vertices. If one does not exist, state why. (e) Find an Euler circuit of G by listing its vertices. If one does not exist, state why.

Q: What is the chromatic number of the above graph? 5 List the vertices in groups with the same color,…

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Q: 3. Find the tree and tree cover of Petersen graph. ***** *****

A: The Petersen Graph

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Q: 4- 3 C

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A: To determine the graph is Euler or not :-

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Q: Euler cycle.

A: AnswerSuppose we have some simple graph G, with odd n>, 1 nodes, and that this graphhas an Euler…

Q: D E G A,

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A: Solution :-

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A: a)

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Q: Prove or disprove: the following graph is 2-colorable.

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Q: Does the following graph have a Hamilton path? A Hamilton cycle?

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Q: Consider the following graph: h 8 The given graph has an Euler circuit. (Click to select) The given…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…