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Proof of a conjecture of W. Veys

✍ Scribed by A.J. de Jong; J.H.M. Steenbrink


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
372 KB
Volume
6
Category
Article
ISSN
0019-3577

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Let P(G, \*) denote the chromatic polynomial of a graph G. It is proved in this paper that for every connected graph G of order n and real number \* n, (\*&2) n&1 P(G, \*)&\*(\*&1) n&2 P(G, \*&1) 0. By this result, the following conjecture proposed by Bartels and Welsh is proved: P(G, n)(P(G, n&1))