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PROBLEMS IN ZERO-SUM COMBINATORICS

Published online by Cambridge University Press:  01 June 1997

YAIR CARO
YAIR CARO
Affiliation:
Department of Mathematics, School of Education, University of Haifa—Oranim, Tivon 36006, Israel
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Abstract

Let t(G, q) denote the smallest integer t such that the vertex set V of the graph G can be partitioned into t classes V(G)=[Cup ]ti=1Vi such that the number of edges in the induced subgraph 〈Vi〉 for 1[les ]i[les ]t, is divisible by q. Using an algebraic theorem due to Baker and Schmidt we prove that if q is a prime power then t(G, q) can be computed and a corresponding partition can be presented in a polynomial time.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 3 , June 1997 , pp. 427 - 434
Copyright
The London Mathematical Society 1997

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