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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 11 | Year 2022 | Article Id. IJMTT-V68I11P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I11P501

The Number of Perfect Matchings of {(3,4),4}-fullerene


Huimin Jia, Rui Yang, Chuanjiao Yu
Received Revised Accepted Published
05 Sep 2022 13 Oct 2022 25 Nov 2022 07 Nov 2022
Abstract

The problem of counting perfect matchings in graphs is an extremely difficult and important topic. In this paper, {(3,4),4}-fullerene graphs are classified according to the cyclical edge-connectivity, and then we show that {(3,4),4}-fullerene graph G with cyclical edge-connectivity 4 has exponentially many perfect matchings.

Keywords
{(3,4),4}-fullerene, Perfect matching, Cyclic edge-connectivity.
References

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Citation :

Huimin Jia, Rui Yang, Chuanjiao Yu, "The Number of Perfect Matchings of {(3,4),4}-fullerene," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 11, pp. 1-7, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I11P501

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