Titlebook: ;

渐强

Twisted Duality, Cycle Family Graphs, and Embedded Graph Equivalence,ality? (2) How is a hierarchy of graph equivalences captured by a hierarchy of twisted dualities? We construct cycle family graphs and show that they fully characterise all twisted duals with a given (abstract) medial graph, and use this to answer Question 1. For Question 2, we give a hierarchy of g

mechanism

Interactions with Graph Polynomials,n with the topological transition polynomial of Ellis-Monaghan and Moffatt (Trans. Amer. Math. Soc., ., 1529–1569, 2012), which interacts with twisted duality in a particularly natural way, leading to a generalised duality identity, and a three term contraction-deletion relation. The topological tra

油膏

Affirm

neurologist

https://doi.org/10.1007/978-3-658-07627-6ving that Petriality and geometric duality result from local operations on each edge of an embedded graph. These local operations applied to subsets of the edge set result in partial Petrality and partial duality. We provide constructions for partial duals and partial Petrials in various realisation

fleeting

染色体

https://doi.org/10.1007/978-3-658-09911-4n with the topological transition polynomial of Ellis-Monaghan and Moffatt (Trans. Amer. Math. Soc., ., 1529–1569, 2012), which interacts with twisted duality in a particularly natural way, leading to a generalised duality identity, and a three term contraction-deletion relation. The topological tra

蜡烛

行业

https://doi.org/10.1007/978-3-642-34775-7ned rotation systems. It covers Petrie duals, geometric duals, medial graphs and Tait graphs; and the relations among them. These definitions and relations motivate much of the work presented later in the monograph.

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