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The toroidal splitting number of the complete graph Kn

✍ Scribed by Nora Hartsfield


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
582 KB
Volume
62
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


On the decomposition of kn into complete
✍ H. Tverberg πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 76 KB πŸ‘ 1 views

## Abstract A short proof is given of the impossibility of decomposing the complete graph on __n__ vertices into __n__‐2 or fewer complete bipartite graphs.

On the decomposition of Kn into complete
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## Abstract Graham and Pollak [3] proved that __n__ βˆ’1 is the minimum number of edge‐disjoint complete bipartite subgraphs into which the edges of __K__~__n__~ can be decomposed. Using a linear algebraic technique, Tverberg [2] gives a different proof of that result. We apply his technique to show

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The aim of this paper is to determine the maximal number of induced K(t, t) subgraphs in graphs of given order and in graphs of given size. Given a graph G and a natural number t, denote by ft(G) the number of induced subgraphs of G isomorphic to K(t, t). Our notation is that of ; in particular, K(