I have a problem finding a strongly connected component of size exactly K in a Tournament Graph. Can someone help me?
Thanks in advance
Thanks in advance
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Thanks for your attention.
Sorry, it seems that the left side of the page is cut off for me, and therefore I cannot really read what the proof is about.
From what I gathered from the page and googled about, if a tournament of size N is strongly connected, then it is vertex pan-cyclic, which means that every vertex in G is part of a cycle of length K for 3<=K<=N. And this proof is done using induction.
However, as the page is cut off, I cannot really read it, and I think I don't really understand what I read too XD. Is it okay for you to explain it here? Is the proof and algorithm similar to the proof and algorithm for finding a hamiltonian path in a tournament? I tried to adapt that algorithm and it seems that I got into some counterexamples.