A note on the irregularity of graphs
โ Scribed by F.K. Bell
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 517 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This note provides counter-examples to a conjecture of D.A. Holton on stability of graphs. It is shown that even though the automorphism groups of two graphs are identical, one may be stable while the other is not.
## Abstract An application of conservative graphs to topological graph theory is indicated.
## 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
Some new properties of the distribution of elements and vertices with respect to the windows of a connected planar graph G are established. It is also shown that a window matrix of G has properties similar to the properties of an incidence matrix of a graph which is not necessarily planar. A method