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- W2952294422 abstract "The hypercube Q_n is the graph whose vertex set is {0,1}^n and where two vertices are adjacent if they differ in exactly one coordinate. For any subgraph H of the cube, let ex(Q_n, H) be the maximum number of edges in a subgraph of Q_n which does not contain a copy of H. We find a wide class of subgraphs H, including all previously known examples, for which ex(Q_n, H) = o(e(Q_n)). In particular, our method gives a unified approach to proving that ex(Q_n, C_{2t}) = o(e(Q_n)) for all t >= 4 other than 5." @default.
- W2952294422 created "2019-06-27" @default.
- W2952294422 creator A5042722711 @default.
- W2952294422 date "2010-05-04" @default.
- W2952294422 modified "2023-09-27" @default.
- W2952294422 title "An extremal theorem in the hypercube" @default.
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