搭话 发表于 2025-3-21 17:55:29

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terazosin 发表于 2025-3-21 23:07:33

Generalised Dualities,eometric duality, direct derivatives, Petrie duals, and partial duality. We concluded by defining the ribbon group and describing how twisted duality can be obtained as orbits under the ribbon group action on the set of edge-ordered embedded graphs.

CURT 发表于 2025-3-22 03:46:22

Applications to Knot Theory,o describe various recent connections between the ribbon graph polynomial, and the Jones and HOMFLY-PT polynomial of a link. For classical links, these give connections between knot polynomials and the Tutte polynomial.

conjunctivitis 发表于 2025-3-22 04:56:30

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assail 发表于 2025-3-22 09:36:13

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SENT 发表于 2025-3-22 14:47:43

https://doi.org/10.1007/978-3-658-09911-4e ribbon graph polynomial of Bollobás and Riordan. Thus, the identities for the topological transition polynomial lead in turn to new results for these polynomials, including reformulations of the Four Colour Theorem. We survey these results in this chapter.

SENT 发表于 2025-3-22 18:42:08

Interactions with Graph Polynomials,e ribbon graph polynomial of Bollobás and Riordan. Thus, the identities for the topological transition polynomial lead in turn to new results for these polynomials, including reformulations of the Four Colour Theorem. We survey these results in this chapter.

NICHE 发表于 2025-3-22 23:19:15

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死亡 发表于 2025-3-23 04:00:00

Embedded Graphs,ned 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.

针叶 发表于 2025-3-23 06:27:08

Generalised Dualities,ving 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
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