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On the Maximum Cut of Line Graphs

Published online by Cambridge University Press:  01 September 1998

SHUJI SHIRAISHI
Affiliation:
Department of Applied Mathematics, Fukuoka University, Nanakuma, Jonan-ku, Fukuoka 814-01, Japan (e-mail: shuji@vin.sm.fukuoka-u.ac.jp)

Abstract

For an undirected graph G=(V, E), let σ(L(G)) be the size of the maximum cut of the line graph L(G). Let dv denote the degree of the vertex v in G. Then we have the following results.

(a) If G=(V, E) is Eulerian, then

formula here

(b) If G is not Eulerian, then

formula here

Type
Research Article
Copyright
1998 Cambridge University Press

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