The genus of the Cartesian product of two graphs
β Scribed by Arthur T White
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 248 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A special type of surgery developed by A. T. White and later used by the author to construct orientable quadrilateral embeddings of Cartesian products of graphs is here expanded to cover the nonorientable case as well. This enables the nonorientable genus of many families of Cartesian p
## Abstract This article proves the following result: Let __G__ and __G__β² be graphs of orders __n__ and __n__β², respectively. Let __G__^\*^ be obtained from __G__ by adding to each vertex a set of __n__β² degree 1 neighbors. If __G__^\*^ has game coloring number __m__ and __G__β² has acyclic chromat
Zhou, H., The chromatic difference sequence of the Cartesian product of graphs, Discrete Mathematics 90 (1991) 297-311. The chromatic difference sequence cds(G) of a graph G with chromatic number n is defined by cds(G) = (a(l), a(2), . . , a(n)) if the sum of a(l), a(2), . , a(t) is the maximum numb
In this article new genus results for the tensor product H @ G are presented. The second factor G in H @ G is a Cayley graph. The imbedding technique used to establish these results combines surgery and voltage graph theory. This technique was first used by A. T. White [171. This imbedding technique