DauChim's blog

By DauChim, history, 5 years ago, In English

Could u guys provide me a way to turn an undirected graph into directed graph by giving the directions for the egdes so the new graph is directed and doesn’t have any cycles

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5 years ago, hide # |
 
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https://mirror.codeforces.com/blog/entry/68138 The blog is probably what you are looking for.

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5 years ago, hide # |
 
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Probably the simplest way is to direct each edge from the lower-valued node to the higher-valued node. There can't be any cycles because a cycle would imply that it's possible to get from a higher-valued node to a lower-valued one, but none of the edges are going to do that for you. Super dry solution, but it works :D