Partitioning the edges of a graph
β Scribed by A.J.W Hilton; Rhys Price Jones
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 247 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0095-8956
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π SIMILAR VOLUMES
In this article we study the monochromatic cycle partition problem for non-complete graphs. We consider graphs with a given independence number (G) = . Generalizing a classical conjecture of Erd" os, GyΓ‘rfΓ‘s and Pyber, we conjecture that if we r-color the edges of a graph G with (G) = , then the ver
Let G = (V, β¬1 be a finite, simple p-partite graph with minimum degree 6 and edge-connectivity A. It is proved that if IVI d (2pS)/(p -1) -2 or in special cases that if IVI I ( 2 p 6 ) / ( p -1) -1, then A = S . It is further shown that this result is best possible.
An edge dominating set in a graph G is a set of edges D such that every edge not in D is adjacent to an edge of D. An edge domatic partition of a graph C=(V, E) is a collection of pairwise-disjoint edge dominating sets of G whose union is E. The maximum size of an edge domatic partition of G is call