Chromatic difference sequences and homomorphisms
β Scribed by Huishan Zhou
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 730 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
This note characterizes graphs with the second term of their chitimatic diherence seq-uences equal t-o& *d gives a r! 2% of graphs, called Isi',, that are determined by their chromatic difference sequences. It also gives a large class of n-chromatic graphs for which \V, is a homomorphic image. It is proved that the normalized chromatic difference sequence of the categorical product G x H dominate5 the normalized chromatic difference sequence of G and of H.
π SIMILAR VOLUMES
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
For graphs G and H, the Cartesian product G Γ H is defined as follows: the vertex set is ## V(G) Γ V(H), and two vertices (g,h) and (9',h') are adjacent in G Γ H if either g = g' and hh' E E(H) or h = h' and g9' E E(G). Let G k denote the Cartesian product of k copies of G. The chromatic differen
## Abstract We consider a problem related to Hadwiger's Conjecture. Let __D__=(__d__~1~, __d__~2~, β¦, __d__~__n__~) be a graphic sequence with 0β©½__d__~1~β©½__d__~2~β©½Β·Β·Β·β©½__d__~__n__~β©½__n__β1. Any simple graph __G__ with __D__ its degree sequence is called a realization of __D__. Let __R__[__D__] denot
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