Tutte polynomials of wheels via generating functions

Charlotte Brennan; Toufik Mansour; Eunice Mphako-Banda

Tutte polynomials of wheels via generating functions

Charlotte Brennan, Toufik Mansour, Eunice Mphako-Banda

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We find an explicit expression of the Tutte polynomial of an n-fan. We also find a formula of the Tutte polynomial of an n-wheel in terms of the Tutte polynomial of n-fans. Finally, we give an alternative expression of the Tutte polynomial of an n-wheel and then prove the explicit formula for the Tutte polynomial of an n-wheel.

Original language	English
Pages (from-to)	881-891
Number of pages	11
Journal	Bulletin of the Iranian Mathematical Society
Volume	39
Issue number	5
State	Published - Oct 2013

Keywords

Fan
Generating function
Tutte polynomial
Wheel

ASJC Scopus subject areas

General Mathematics

Cite this

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abstract = "We find an explicit expression of the Tutte polynomial of an n-fan. We also find a formula of the Tutte polynomial of an n-wheel in terms of the Tutte polynomial of n-fans. Finally, we give an alternative expression of the Tutte polynomial of an n-wheel and then prove the explicit formula for the Tutte polynomial of an n-wheel.",

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T1 - Tutte polynomials of wheels via generating functions

AU - Brennan, Charlotte

AU - Mansour, Toufik

AU - Mphako-Banda, Eunice

PY - 2013/10

Y1 - 2013/10

N2 - We find an explicit expression of the Tutte polynomial of an n-fan. We also find a formula of the Tutte polynomial of an n-wheel in terms of the Tutte polynomial of n-fans. Finally, we give an alternative expression of the Tutte polynomial of an n-wheel and then prove the explicit formula for the Tutte polynomial of an n-wheel.

AB - We find an explicit expression of the Tutte polynomial of an n-fan. We also find a formula of the Tutte polynomial of an n-wheel in terms of the Tutte polynomial of n-fans. Finally, we give an alternative expression of the Tutte polynomial of an n-wheel and then prove the explicit formula for the Tutte polynomial of an n-wheel.

KW - Fan

KW - Generating function

KW - Tutte polynomial

KW - Wheel

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M3 - Article

AN - SCOPUS:84886777219

SN - 1018-6301

VL - 39

SP - 881

EP - 891

JO - Bulletin of the Iranian Mathematical Society

JF - Bulletin of the Iranian Mathematical Society

IS - 5

ER -

Tutte polynomials of wheels via generating functions

Abstract

Keywords

ASJC Scopus subject areas

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