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[Help] Minimum Path Cover Every Edges ?!
By Libraion, history, 4 years ago, In English

Given a undirected graph with $$$N (N \leq 100)$$$ vertices, $$$M (M \leq N * (N + 1) / 2)$$$ edges (there can be edge connect a vertex with itself but all edges are distinct).

Find the number of minimum paths that every edge is in exactly 1 path.

Thanks.

UPD: I just realized it is sum of (odd vertices / 2) for every connected component (and some special case like m = 0, odd vertices = 0).

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4 years ago, # |
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just find Eilerev way ? or am i wrong ?

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    4 years ago, # ^ |
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    Sorry I don't understand what you mean. Could you elaborate it a bit?

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      4 years ago, # ^ |
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      As I understand it, a non-weighted graph is given and we want to visit all the edges exactly once, but exactly this is done by the algorithm of the eleree path, there is a theorem when it is possible to traverse all the edges once.

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        4 years ago, # ^ |
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        So what happen when there is > 2 odd degree vertex that you cannot fit every vertices into 1 path. Then how many paths? And what if after finishing 1 path you make the graph unconnected ... etc.

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          4 years ago, # ^ |
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          Ahhh, I just realized your question, sorry

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4 years ago, # |
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