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pro vyhledávání: '"Huggett, Stephen"'
Autor:
Huggett, Stephen, Moffatt, Iain
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society, 169 (2020) 255-297
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 when considering deletion and contraction operations on graphs on surfac
Externí odkaz:
http://arxiv.org/abs/2212.14233
Autor:
Huggett, Stephen, Moffatt, Iain
Publikováno v:
Combinatorica 33 (2013) 231-252
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 bipartite partial duals of a plane graph in terms of oriented circuits in
Externí odkaz:
http://arxiv.org/abs/1106.4189
Publikováno v:
Math. Proc. Cambridge Philos. Soc., 153 (2012) 123-145
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 diagram. Here we focus on Seifert graphs, which are the ribbon graphs of
Externí odkaz:
http://arxiv.org/abs/1106.4197
Autor:
Huggett, Stephen, Moffatt, Iain
Publikováno v:
Ann. Comb., 15 (2011) 675-706
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, and derive the classical Brylawski formula for the Tutte polynomial of
Externí odkaz:
http://arxiv.org/abs/0710.4266
Autor:
Huggett, Stephen, Muller, Franz
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 1999 May 01. 455(1985), 1599-1614.
Externí odkaz:
https://www.jstor.org/stable/53439
Publikováno v:
Mathematica Scandinavica, 1999 Jan 01. 85(2), 219-244.
Externí odkaz:
https://www.jstor.org/stable/24493286
Autor:
Eastwood, Michael, Huggett, Stephen
Publikováno v:
In European Journal of Combinatorics 2007 28(6):1553-1560
Autor:
HUGGETT, STEPHEN, MOFFATT, IAIN
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society; Sep2020, Vol. 169 Issue 2, p255-297, 43p
Autor:
Huggett, Stephen1 s.huggett@plymouth.ac.uk, Moffatt, Iain2 imoffatt@jaguar1.usouthal.edu
Publikováno v:
Annals of Combinatorics. Nov2011, Vol. 15 Issue 4, p675-706. 32p. 12 Diagrams.