Foundation of algorithms homework please help: a graph has an euler circuit if a

Question

Foundation of algorithms homework please help: a graph has an euler circuit if and only if (a) the draph is connected and (b) the degree of every vertex is even. find a lower bound for ghe time complexity of all algorithms that determin if a graph has an euler circuit. in which of three general categories discussed in section 9.3 does this problem belong? justify your answer. Foundation of algorithms homework please help: a graph has an euler circuit if and only if (a) the draph is connected and (b) the degree of every vertex is even. find a lower bound for ghe time complexity of all algorithms that determin if a graph has an euler circuit. in which of three general categories discussed in section 9.3 does this problem belong? justify your answer.

Explanation / Answer

Fleury's algorithm:

1. Make sure the graph has either 0 or 2 odd vertices.

2. If there are 0 odd vertices, start anywhere. If there are 2 odd vertices, start at one of them.

3. Follow edges one at a time. If you have a choice between a bridge and a non-bridge, always choose the non-bridge.

4. Stop when you run out of edges.

Time complexity: O((V+E)2).

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