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Hi guys, I have the following exercise to do but don't know how to approach it:

Let G be a graph with n nodes (n ≥ 2), and where every node has degree at least 3. Show that G has a cycle of length ≤ 2*ceiling (log n). And it allows me to consider a Breadth-First search tree.

First of all, what's the length of a cycle? Is it the number of arcs in the cycle? Secondly, how do I show it's 2*ceil(log n)?

Thanks, Sorin

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This isn't the right forum for homework... Try mathstackexchange/read FAQ – Anthony Quas Mar 1 2011 at 20:00

closed as off topic by Andres Caicedo, Yemon Choi, Tony Huynh, Gjergji Zaimi, Qiaochu Yuan Mar 1 2011 at 20:37

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