𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Decomposition of product graphs into complete bipartite subgraphs

✍ Scribed by Bruce Reznick; Prasoon Tiwari; Douglas B West


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
291 KB
Volume
57
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


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.

Sharp bounds for decompositions of graph
✍ Gregory, David A.; Vander Meulen, Kevin N. πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 435 KB πŸ‘ 2 views

If G is a graph on n vertices and r 2 2, w e let m,(G) denote the minimum number of complete multipartite subgraphs, with r or fewer parts, needed to partition the edge set, f(G). In determining m,(G), w e may assume that no two vertices of G have the same neighbor set. For such reduced graphs G, w

Packing two bipartite graphs into a comp
✍ Wang, Hong πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 131 KB πŸ‘ 3 views

For two integers a and b, we say that a bipartite graph G admits an (a, b)bipartition if G has a bipartition (X, Y ) such that |X| = a and |Y | = b. We say that two bipartite graphs G and H are compatible if, for some integers a and b, both G and H admit (a, b)-bipartitions. In this paper, we prove

Decomposition of complete graphs into 5-
✍ D. Bryant; S. I. El-Zanati; B. Maenhaut; C. Vanden Eynden πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 116 KB

## Abstract Necessary conditions for the complete graph on __n__ vertices to have a decomposition into 5‐cubes are that 5 divides __n__β€‰βˆ’β€‰1 and 80 divides __n__(__n__β€‰βˆ’β€‰1)/2. These are known to be sufficient when __n__ is odd. We prove them also sufficient for __n__ even, thus completing the spectr