26 citations · 60 across the 5 of their papers we have counts for
5 papers
Seifert-Tait graphs
Stephen Huggett, Alina Vdovina
We show that among alternating knots, those which have diagrams whose Seifert and Tait graphs are isomorphic are dominant.
Types of embedded graphs and their Tutte polynomials
Stephen Huggett, Iain Moffatt
We take an elementary and systematic approach to the problem of extending the Tutte polynomial to the setting of embedded graphs. Four notions of embedded graphs arise naturally wh…
On the Seifert graphs of a link diagram and its parallels
Stephen Huggett, Iain Moffatt, Natalia Virdee
Recently, Dasbach, Futer, Kalfagianni, Lin, and Stoltzfus extended the notion of a Tait graph by associating a set of ribbon graphs (or equivalently, embedded graphs) to a link dia…
Bipartite partial duals and circuits in medial graphs
Stephen Huggett, Iain Moffatt
It is well known that a plane graph is Eulerian if and only if its geometric dual is bipartite. We extend this result to partial duals of plane graphs. We then characterize all bip…
Expansions for the Bollobas-Riordan polynomial of separable ribbon graphs
Stephen Huggett, Iain Moffatt
We define 2-decompositions of ribbon graphs, which generalise 2-sums and tensor products of graphs. We give formulae for the Bollobas-Riordan polynomial of such a 2-decomposition,…