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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Megan Lee
Los Angeles, CA, USA
Electrical & Electronics Engineering

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Interlace polynomials of lollipop and tadpole graphs Christina L Eubanks-Turner; Kathryn Cole; Megan Lee
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 10, No 1 (2022): 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.2022.10.1.14

Abstract

In this paper, we examine interlace polynomials of lollipop andtadpole graphs. The lollipop and tadpole graphs are similar in that they bothinclude a path attached to a graph by a single vertex. In this paper we giveboth explicit and recursive formulas for each graph, which extends the work ofArratia, Bollobas and Sorkin, among others. We also give special values,examine adjacency matrices and behavior of coecients of these polynomials.
Co-Authors Christina L Eubanks-Turner Kathryn Cole