𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On biclique decompositions of complete t-partite graphs

✍ Scribed by Elizabeth D. Boyer; Bryan L. Shader


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
704 KB
Volume
217
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Hamiltonian decompositions of complete r
✍ A.J.W. Hilton; C.A. Rodger πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 962 KB

In this paper we give a procedure by which Hamiltonian decompositions of the s-partite graph K~.....,~, where (s-1)n is even, can be constructed. For 2t<~s, l<~al<~...<~a~n, we find conditions which are necessary and sufficient for a decomposition of the edge-set of Kal.a2..... ~ into (s-1)n/2 class

On the decomposition of Kn into complete
✍ Qingxue Huang πŸ“‚ Article πŸ“… 1991 πŸ› John Wiley and Sons 🌐 English βš– 195 KB πŸ‘ 1 views

## 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

On resolvable tree-decompositions of com
✍ Zbigniew Lonc πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 355 KB πŸ‘ 1 views

A partition of the edge set of a graph H into subsets inducing graphs H,, . . . , H, isomorphic to a graph G is said to be a G-decomposition of H. A G-decomposition of H is resolvable if the set {H,, . . . , H,} can be partitioned into subsets, called resolution classes, such that each vertex of H

Commuting decompositions of complete gra
✍ Saieed Akbari; Allen Herman πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 129 KB

## Abstract We say that two graphs __G__ and __H__ with the same vertex set commute if their adjacency matrices commute. In this article, we show that for any natural number __r__, the complete multigraph __K__ is decomposable into commuting perfect matchings if and only if __n__ is a 2‐power. Also