On the skewness of the join of graphs
β Scribed by Chia, Gek L.; Sim, Kai An
- Book ID
- 122001159
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 374 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0166-218X
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π SIMILAR VOLUMES
For a given undirected graph G, the minimum rank of G is defined to be the smallest possible rank over all real symmetric matrices A whose (i, j )th entry is nonzero whenever i / = j and {i, j } is an edge in G. In this work we consider joins and unions of graphs, and characterize the minimum rank o
## Abstract A graph is chromatically unique if it is uniquely determined by its chromatic polynomial. Let __G__ be a chromatically unique graph and let __K__~__m__~ denote the complete graph on __m__ vertices. This paper is mainly concerned with the chromaticity of __K__~__m__~ + __G__ where + deno
It is proved that given any number of graphs of order at most n, the sphericity of their join does not exceed 2(n-1). We introduce an adjacency relation into Euclidean n-space E" so that it may be regarded as an infinite graph: Two points x and y of E" are defined to be adjacent if and only if 0<[x