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Is it possible to have 22 cycles in a graph with 5 vertices?

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Is it possible to have 22 cycles in a graph with 5 vertices? Isn't the max number of cycles 15 with 5 vertices?
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Bump.. But no idea what are you talking about.. There's a board for maths
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No it is not possible unless some are duplicate or you orientate them
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uh wait i was assuming you counted them correctly.
in your complete graph there are like 10*1 3-cycles, 5*3 4-cycles, and 1*12 5-cycles
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>>56630352
>5*3 4-cycles, and 1*12 5-cycles

how is that? where do the 3 and 12 come from?
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>>56630207

>Is it possible to have 22 cycles in a graph with 5 vertices?

22 was pretty difficult , but I did it.
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>>56630384
(n-1)!/2 ways to form a cycle with n vertices
you choose a random ordering to go through them, so n!, you divide by n so the vertice you picked first doesnt matter and you divide by 2 since they are not oriented
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>>56630207
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>>56630546
dead
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>>56630562
I see. What if i remove an edge?
Thread posts: 10
Thread images: 3


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