## Abstract We prove that there is an absolute constant __C__>0 so that for every natural __n__ there exists a triangleβfree __regular__ graph with no independent set of size at least \documentclass{article}\usepackage{amssymb}\usepackage{amsbsy}\usepackage[mathscr]{euscript}\footskip=0pc\pagestyle
A Note on Almost Regular Graphs
β Scribed by M. Of Hofmeister Munich
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 136 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
It can easily be seen that a conjecture of RUNGE does not hold for a class of graphs whose members will be called "almost regular". This conjecture is replaced by a weaker one, and a classification of almost regular graphs is given.
π SIMILAR VOLUMES
For integers a and b, 0 s a s b, an [a,bl-graph G satisfies a s deg(x,G) s b for every vertex x of G, and an [a.bl-factor is a spanning subgraph its edges can be decomposed into [a,bl-factors. When both k and tare positive integers and s is a nonnegative integer, w e prove that every [(12k + 2)t +
## Abstract For __k__β=β1 and __k__β=β2, we prove that the obvious necessary numerical conditions for packing __t__ pairwise edgeβdisjoint __k__βregular subgraphs of specified orders __m__~1~,__m__~2~,β¦ ,__m__~t~ in the complete graph of order __n__ are also sufficient. To do so, we present an edge
## Abstract Lower bounds on the size of a maximum bipartite subgraph of a triangleβfree __r__βregular graph are presented.