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IMI/Publicaţii/CSJM/Ediţii/CSJM v.21, n.2 (62), 2013/

Tutte Polynomial of Multi-Bridge Graphs

Authors: Julian A. Allagan
Keywords: Tutte polynomial, multi-bridge graph, 2-tree, fan, wheel.

Abstract

In this paper, using a well-known recursion for computing the Tutte polynomial of any graph, we found explicit formulae for the Tutte polynomials of any multi-bridge graph and some 2-tree graphs. Further, several recursive formulae for other graphs such as the fan and the wheel graphs are also discussed.

University of North Georgia, Watkinsville,
GA, United States.
Department of Mathematics
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