渐强
发表于 2025-3-23 10:35:04
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
发表于 2025-3-23 15:12:34
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
发表于 2025-3-23 21:25:40
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Affirm
发表于 2025-3-23 23:53:41
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neurologist
发表于 2025-3-24 03:30:48
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
发表于 2025-3-24 08:55:26
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染色体
发表于 2025-3-24 13:05:29
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
发表于 2025-3-24 16:38:53
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行业
发表于 2025-3-24 19:00:42
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.
大吃大喝
发表于 2025-3-25 02:13:54
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