Homfly Polynomial of Knotted Trivalent Plane Graphs

Qazaqzeh, K and Aboufattoum, A and Elsakhawy, E and Diab, A (2017) Homfly Polynomial of Knotted Trivalent Plane Graphs. Asian Research Journal of Mathematics, 7 (2). pp. 1-7. ISSN 2456477X

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Abstract

We study the Homfly polynomial of periodic knotted trivalent plane graphs introduced in [14]. We show how periodicity of a knotted trivalent plane graphs is reflected in this polynomial. In particular, we derive congruences of periodic knotted trivalent plane graphs in terms of this polynomial invariant. These congruences yield criteria for periodicity of knotted trivalent plane graphs.

Item Type: Article
Subjects: Bengali Archive > Mathematical Science
Depositing User: Unnamed user with email support@bengaliarchive.com
Date Deposited: 26 May 2023 06:56
Last Modified: 02 Sep 2024 12:55
URI: http://science.archiveopenbook.com/id/eprint/1140

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