How can you produce a graph with an euler circuit

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Reference no: EM131585919

Question: 1. Can you trace over the entirety of Figure without lifting your writing instrument from the paper (or tracing any line twice)?

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2. Given a graph with an Euler traversal but not circuit, how can you produce a graph with an Euler circuit?

3. Consider the complete graph Kn and any two vertices a and b in it.

(a) Why are there paths of every length from 1 to n-1 joining a and b?

(b) Find a graph other than K5 that has the property that there exist two vertices that have paths of lengths 1,2,...,4 joining them.

(c) While you're at it, find one for every n ≥ 4.

Reference no: EM131585919

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