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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Aihua Li
Department of Mathematics, Montclair State University, New Jersey, USA
Electrical & Electronics Engineering

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Interlace polynomials of 4n-snowflake graphs Jyoti Champanerkar; Aihua Li
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 11, No 1 (2023): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2023.11.1.14

Abstract

In this paper, we study the interlace polynomial of a special graph with n vertices, called 4n-snowflake graph. It is similar as the friendship graph Fn of n vertices, which is made of n 3-cycles sharing one center vertex. In stead of 3-cycles, the 4n-snowflake graph Qn is constructed by gluing n 4-cycles to one center vertex. We describe certain properties of such graphs, provide recursive and explicit formulas for the interlace polynomials, and give some properties of such polynomials such as special values and patterns for certain coefficients.
Co-Authors Jyoti Champanerkar