A combinatorial algorithm to generate all spanning trees of a weighted graph in order of increasing cost

preprint2012arXivOpen access

Abstract

The most popular algorithms for generation of minimal spanning tree are Kruskal and Prim algorithm. Many algorithms have been proposed for generation of all spanning tree. This paper deals with generation of all possible spanning trees in increasing cost of a weighted graph. This approach uses one matrix called Difference Weighted Circuit Matrix; it is little bit modification of FCM.

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