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THE TUTTE POLYNOMIAL AND THE GENERALIZED PETERSEN GRAPH
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THE TUTTE POLYNOMIAL AND THE GENERALIZED PETERSEN GRAPH

Eric Kevin, Jr. Williams
University of West Florida
Master of Science (MS), University of West Florida
2010

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Abstract

The purpose of this paper is to prove that the generalized Petersen graph, P(m, n), is class T-unique given certain conditions on m and n. These conditions are necessary in order to make proving the general case feasible. The method that we use is derived from the method used for proving that P(m, 2) is T-unique. In addition to P(m, n), the spokeless generalized Petersen graph, Q(m, n), is introduced. We prove T-uniqueness for Q(m, 2).
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