Peregrine_Falcon's blog

How to find the number of all possible paths in a undirected graph?
By Peregrine_Falcon, history, 5 years ago, In English

I've a graph consisting of 22 nodes and 36 edges. It's an undirected graph. From each node, I've to find the number of ways that I can reach all other nodes. Any idea please?

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5 years ago, # |
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What are the rules here? Can you use one edge or vertex multiple times?

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    5 years ago, # ^ |
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    Yes. But in a path I can't use a cycle. Cause it'll give me a infinite answer. Two paths will consider different, if at least 1 edge deffer.

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    5 years ago, # ^ |
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    Sorry I was sleeping when I replied to your comment. So, I messed Up. In a path I cant use a edge multiple times. It will create a cycle. For graph -

    1 — 2

    2 — 4

    2 — 3

    4 — 3

    3 — 5

    If we consider the source 1 and target 5 output will be 2 for that. Like that from every node to all other node I've to find the number of ways. I don't have any time limit. I can run the code for few hours. I just need the output. Thank You.

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      5 years ago, # ^ |
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      Since you only require the result and the graph is very small (and sparse), have you considered using brute force?

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        5 years ago, # ^ |
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        I was busy for few days, I ran brute force for this. Got my result.

        Thank You.

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