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Research Article Open access CC BY 4.0

Graph Compositions of Uniform Four q-fans

E. Mphako-Banda, R. Kwashira, B. Zinsou

Journal of Advances in Mathematics and Computer Science · pp. 1–15 · Published 3 Mar 2016

10.9734/BJMCS/2016/24264

Abstract

Graph compositions play an important role in the generalization of both ordinary compositions of positive integers and partitions of nite sets. Graph compositions of certain classes of graphs, like trees, cycle graphs, wheels, etc have been found using generating functions and recurrence relations. In this paper, we use di erent combinatorial techniques, to count the number of graph compositions of uniform four q-fans.

Graph composition closed set cycle matroid fan

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