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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Principal common divisors of graphs
European Journal of Combinatorics, Volume 14, No. 2, Year 1993
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Description
A graph H divides a graph G, written H | G, if G is H-decomposable. If H ≠ G, then H properly divides G. A graph G is a principal common divisor if there exist graphs G1 and G2 such that G properly divides G1 and G2, and if H is any graph such that H | G1 and H | G2, then H | G. Several graphs that are principal common divisors are described. It is shown that complete graphs are not principal common divisors. © 1993 Academic Press, Inc.
Authors & Co-Authors
Chartrand, Gary
United States, Kalamazoo
Western Michigan University
Goddard, Wayne D.
United States, Philadelphia
University of Pennsylvania
Henning, Michael A.
South Africa, Durban
University of Kwazulu-natal
Saba, Farrokh
United States, Kalamazoo
Western Michigan University
Swart, Henda C.
South Africa, Durban
University of Kwazulu-natal
Statistics
Citations: 5
Authors: 5
Affiliations: 3
Identifiers
Doi:
10.1006/eujc.1993.1012
ISSN:
01956698