## Abstract Coset graphs are a generalization of Cayley graphs. They arise in the construction of graphs and digraphs with transitive automorphism groups. Moreover, the consideration of coset graphs makes it possible to give an algebraic description of regular connected graphs of even degree. In th
A note on conservative graphs
β Scribed by Arthur T. White
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 115 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
An application of conservative graphs to topological graph theory is indicated.
π SIMILAR VOLUMES
## Abstract We show that the problem raised by Boesch, Suffel, and Tindell of determining whether or not a graph is spanned by an Eulerian subgraph is NPβcomplete. We also note that there does exist a good algorithm for determining if a graph is spanned by a subgraph having positive even degree at
## 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
## Abstract A graph __G__ having a perfect matching is called nβ__extendable__ if every matching of size __n__ of __G__ can be extended to a perfect matching. In this note, we show that if __G__ is an __n__βextendable nonbipartite graph, then __G__ + __e__ is (__n__ β 1)βextendable for any edge e Ο΅
## Abstract __Ki__βperfect graphs are a special instance of __F β G__ perfect graphs, where __F__ and __G__ are fixed graphs with __F__ a partial subgraph of __G.__ Given __S__, a collection of __G__βsubgraphs of graph __K__, an __F β G__ cover of __S__ is a set of __T__ of __F__βsubgraphs of __K__
## Abstract Whitney's theorem on line graphs is extended to the class of generalized line graphs defined by Hoffman.