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Decompositions and factorizations of complete graphs

An overview of known methods based on graph labelings that used for decompositions and factorizations of complete graphs.

Abstract

Graph decompositions into isomorphic copies of a given graph is a well established topic studied in both graph theory and design theory. Though spanning tree factorizations may seem to be just a special case of this concept, not many general results are known. We investigate necessary and sufficient conditions for a graph factorization into isomorphic spanning trees to exists.

Status

Submitted for publication in Advances in Computational and System Biology.
P. Kováø, Decompositions and factorizations of complete graphs, Ed. M. Dehmer, submitted (Birkhäuser).


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Last update: 29.12.2011