The Tutte polynomial of matroids constructed by a family of splitting operations

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Kazemzadeh Morteza; Azanchiler Habib; GHORBANI VAHID

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Journal Paper

Paper Information

Journal: COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION Year:2022 | Volume:7 | Issue:1 Page(s): 69-79

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Title

The Tutte polynomial of matroids constructed by a family of splitting operations

Author(s)

Kazemzadeh Morteza | Azanchiler Habib | GHORBANI VAHID | Issue Writer Certificate

Keywords

Tutte polynomial

Splitting

Splitting o

Element splitting

Abstract

To extract some more information from the constructions of matroids that arise from new operations, computing the Tutte polynomial, plays an important role. In this paper, we consider applying three operations of Splitting, element Splitting and Splitting o to a binary matroid and then introduce the Tutte polynomial of resulting matroids by these operations in terms of that of original matroids.

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APA: Copy

Kazemzadeh, Morteza, Azanchiler, Habib, & GHORBANI, VAHID. (2022). The Tutte polynomial of matroids constructed by a family of splitting operations. COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 7(1), 69-79. SID. https://sid.ir/paper/695446/en

Vancouver: Copy

Kazemzadeh Morteza, Azanchiler Habib, GHORBANI VAHID. The Tutte polynomial of matroids constructed by a family of splitting operations. COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION[Internet]. 2022;7(1):69-79. Available from: https://sid.ir/paper/695446/en

IEEE: Copy

Morteza Kazemzadeh, Habib Azanchiler, and VAHID GHORBANI, “The Tutte polynomial of matroids constructed by a family of splitting operations,” COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, vol. 7, no. 1, pp. 69–79, 2022, [Online]. Available: https://sid.ir/paper/695446/en

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