## Abstract We investigate several Ramsey‐Turán type problems for subgraphs of a hypercube. We obtain upper and lower bounds for the maximum number of edges in a subgraph of a hypercube containing no four‐cycles or more generally, no 2__k__‐cycles __C__~2k~. These extermal results imply, for exampl
✦ LIBER ✦
On even-cycle-free subgraphs of the hypercube
✍ Scribed by Zoltán Füredi; Lale Özkahya
- Book ID
- 108167340
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 121 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
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## Abstract A spanning subgraph __G__ of a graph __H__ is a __k__‐__detour subgraph__ of __H__ if for each pair of vertices $x,y \in V(H)$, the distance, ${\rm dist}\_G(x,y)$, between __x__ and __y__ in __G__ exceeds that in __H__ by at most __k__. Such subgraphs sometimes also are called __additiv