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A charming class of perfectly orderable graphs

✍ Scribed by Chính T. Hoàng; Frédéric Maffray; Stephan Olariu; Myriam Preissmann

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
539 KB
Volume
102
Category
Article
ISSN
0012-365X

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✦ Synopsis

We investigate the following conjecture of VaSek Chvatal: any weakly triangulated graph containing no induced path on five vertices is perfectly orderable. In the process we define a new polynomially recognizable class of perfectly orderable graphs called charming. We show that every weakly triangulated graph not containing as an induced subgraph a path on five vertices or the complement of a path on six vertices is charming.

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