Let S denote the class of 2-connected (n, n + 2)-graphs which have girth 5 and are not homeomorphic to K4. Chromatic classes of graphs in S are determined in this paper.
A note on the chromaticity of some 2-connected (n,n+3)-graphs
โ Scribed by F.M. Dong; K.L. Teo; K.M. Koh
- Book ID
- 108315672
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 77 KB
- Volume
- 243
- Category
- Article
- ISSN
- 0012-365X
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๐ SIMILAR VOLUMES
Let P(G) denote the chromatic polynomial of a graph G. Two graphs G and H are chromatically equivalent, written G-H, if P( G) = P( H). A graph G is chromatically unique if G z H for any graph H such that H-G. Let J? denote the class of 2-connected graphs with n vertices and n+3 edges which contain a
Chromatic classes of 2-connected (n, n + 2)-graphs which are horneomorphic to K4 and have girth 5 are given in this paper. Lemma 1. (a) If(6,~,rl)ยข Uj~3{(j,j-2,j+ 1), (j-2,j+2,j-1)} andFl (6,~,rl)~ Fl(6t, y',rlt ), then F1(6,7,~/) ~ Ft(6',7',ยข).