Let i be a positive integer. We generalize the chromatic number x ( G ) of G and the clique number w(G) of G as follows: The i-chromatic number of G , denoted by x Z ( G ) , is the least number k for which G has a vertex partition V,, V,, . . . , Vk: such that the clique number of the subgraph induc
Trivially perfect graphs
โ Scribed by Martin Charles Golumbic
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 222 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
An undirected graph i!. rriuially pcrfc~ if for cbzry induced s&graph the stability numbt~r equal; the number of (maximal) cliques. We 1 haracterize the trivialI> perfect graphs a\ a pr0pt.r subclass of the triangulated graphs (thus dis2roving a claim of Buneman 13]1. and we rclart> them to some n :'I-known classes of perfect graphs.
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