A classification for bicyclic and tricyclic graphs with respect to Tutte polynomial

Abstract

The Tutte polynomial of a graph is a polynomial in two variables defined for every simple graph contains information about how the graph is connected. We prove some formulas for computing Tutte polynomial of bicyclic and tricyclic graph and finally classify tricyclic graph with respect to Tutte polynomial.

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Keywords

• Tutte polynomial
• bicyclic
• tricyclic graph

References

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