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On the maximum number of edges in a hypergraph with a unique perfect matching

โœ Scribed by Deepak Bal; Andrzej Dudek; Zelealem B. Yilma


Book ID
113567385
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
193 KB
Volume
311
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


On the maximum number of edges in a hype
โœ J.-C. Bermond; P. Frankl; F. Sterboul ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 122 KB

Soit H = (X. ~1 un hypergraphe h-uniforme avec IX] = net soit L h ~(H! le graphe Jont les sommets reprdsentent les arates de H, deux sommets 6lant reli6s si et seulement si t~s z~r6tes qu'ils reprdsen!ent intersectent en h -1 sommet,=. Nous montrons que sif,, t(H) ne contienl pas de cycle, alors I~[

The maximum number of edges in a graph w
โœ R.J. Faudree; J. Sheehan ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 633 KB

Suppose that n i> 2t + 2 (t/> 17). Let G be a graph with n vertices such that its complement is connected and, for all distinct non-adjacent vertices u and v, there are at least t common neighbours. Then we prove that and Furthermore, the results are sharp.

The number of perfect matchings in a hyp
โœ Niall Graham; Frank Harary ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 243 KB

A perfect matching or a l-factor of a graph G is a spanning subgraph that is regular of degree one. Hence a perfect matching is a set of independent edges which matches all the nodes of G in pairs. Thus in a hypercube parallel processor, the number of perfect matchings evaluates the number of diff