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GC
2008
Springer

On 2-Detour Subgraphs of the Hypercube

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On 2-Detour Subgraphs of the Hypercube
A spanning subgraph H of a graph G is a 2-detour subgraph of G if for each x, y V (G), dH (x, y) dG(x, y) + 2. We prove a conjecture of Erdos, Hamburger, Pippert, and Weakley by showing that for some positive constant c and every n, each 2-detour subgraph of the n-dimensional hypercube Qn has at least c log2 n
József Balogh, Alexandr V. Kostochka
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2008
Where GC
Authors József Balogh, Alexandr V. Kostochka
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