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发表于 2025-3-21 17:55:29 | 显示全部楼层 |阅读模式
书目名称Graphs on Surfaces
编辑Joanna A. Ellis-Monaghan,Iain Moffatt
视频video
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: ;
出版日期Book 2013
版次1
doihttps://doi.org/10.1007/978-1-4614-6971-1
isbn_softcover978-1-4614-6970-4
isbn_ebook978-1-4614-6971-1Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
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发表于 2025-3-21 23:07:33 | 显示全部楼层
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.
发表于 2025-3-22 03:46:22 | 显示全部楼层
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.
发表于 2025-3-22 04:56:30 | 显示全部楼层
发表于 2025-3-22 09:36:13 | 显示全部楼层
发表于 2025-3-22 14:47:43 | 显示全部楼层
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.
发表于 2025-3-22 18:42:08 | 显示全部楼层
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.
发表于 2025-3-22 23:19:15 | 显示全部楼层
发表于 2025-3-23 04:00:00 | 显示全部楼层
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.
发表于 2025-3-23 06:27:08 | 显示全部楼层
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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