Interlace polynomials of lollipop and tadpole graphs
Abstract
In this paper, we examine interlace polynomials of lollipop and
tadpole graphs. The lollipop and tadpole graphs are similar in that they both
include a path attached to a graph by a single vertex. In this paper we give
both explicit and recursive formulas for each graph, which extends the work of
Arratia, Bollobas and Sorkin, among others. We also give special values,
examine adjacency matrices and behavior of coecients of these polynomials.
Keywords
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PDFDOI: http://dx.doi.org/10.5614/ejgta.2022.10.1.14
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