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arxiv: 1410.4902 · v3 · pith:OM7L4TCZnew · submitted 2014-10-18 · 🧮 math.CO

On a Conjecture of Thomassen

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keywords conjectureconnectedthomassenadmitsapproachaskedbipartiteevery
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In 1989, Thomassen asked whether there is an integer-valued function f(k) such that every f(k)-connected graph admits a spanning, bipartite $k$-connected subgraph. In this paper we take a first, humble approach, showing the conjecture is true up to a log n factor.

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