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Self-complementary graph decompositions

Part of: Designs and configurations Graph theory

Published online by Cambridge University Press:  09 April 2009

C. A. Rodger
C. A. Rodger
Affiliation:
120 Mathematics AnnexAuburn UniversityAuburn, AL 36849-5307, USA
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Abstract

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A complementary decomposition of λKn into a graph G is an edge-disjoint decomposition of λKn into copies of G such that if each copy H of G is replaced by its complement in V(H) then the result is an edge-disjoint decomposition of λKn into copies of GC it is a self- complementary decomposition if G = Gc. The spectrum for the last self-complementary graph on at most 7 vertices is found.

MSC classification

Secondary: 05B30: Other designs, configurations 05B40: Packing and covering 05C70: Factorization, matching, partitioning, covering and packing
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 53 , Issue 1 , August 1992 , pp. 17 - 24
Copyright
Copyright © Australian Mathematical Society 1992

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