Simple Formulas for Constellations and Bipartite Maps with Prescribed Degrees

Louf Baptiste

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Simple Formulas for Constellations and Bipartite Maps with Prescribed Degrees

机译：星座的简单公式和具有规定度的二分的映射

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摘要

We obtain simple quadratic recurrence formulas counting bipartite maps on surfaces with prescribed degrees (in particular, 2k-angulations) and constellations. These formulas are the fastest known way of computing these numbers.

机译：我们得到了简单的二次递推公式，用于计算具有指定度数（特别是2k角度）和星座的曲面上的二部映射。这些公式是已知的计算这些数字的最快方法。

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来源
《Canadian Journal of Mathematics》 |2021年第1期|共17页
作者
Louf Baptiste;
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作者单位

Univ Paris Diderot IRIF 7 Batiment Sophie Germain F-75205 Paris 13 France;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
map; Hurwitz number; Toda hierarchy; constellation;

机译：地图;Hurwitz号码;TODA层次结构;星座;

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2. Character Formulas for a Class of Simple Restricted Modules over the Simple Lie Superalgebras of Witt Type [J] . Yu-Feng YAO 数学年刊B辑（英文版） . 2020,第001期
3. Copositive approximation by rational functions with prescribed numerator degree [J] . YU Dan-sheng, ZHOU Song-ping 高校应用数学学报：英文版 . 2009,第004期
4. MIMUMUM DEGREE AND BINDING NUMBER FOR k-FACTORS WITH PRESCRIBED PROPERTIES [J] . 陈赐平数学物理学报：B辑英文版 . 1992,第004期
5. Scaling limits of random bipartite planar maps with a prescribed degree sequence [J] . Marzouk Cyril Random structures & algorithms . 2018,第3期

机译：具有规定度序列的随机二角形平面图的缩放限制
6. Uniform sampling of bipartite graphs with degrees in prescribed intervals [J] . Steffen Rechner, Linda Strowick, Matthias Müller-Hannemann, . 2018,第6期

机译：在指定间隔内以度均匀采样二部图
7. SIMULATION OF BIPARTITE OR DIRECTED GRAPHS WITH PRESCRIBED DEGREE SEQUENCES USING MAXIMUM ENTROPY PROBABILITIES [J] . Paul Glasserman, Enrique Lelo de Larrea Proceedings of the Workshop on Principles of Advanced and Distributed Simulation . 2018,第CDaROM1期

机译：使用最大熵概率模拟二分或具有规定度序列的定向图
8. SIMULATION OF BIPARTITE OR DIRECTED GRAPHS WITH PRESCRIBED DEGREE SEQUENCES USING MAXIMUM ENTROPY PROBABILITIES [C] . Paul Glasserman, Enrique Lelo de Larrea Winter Simulation Conference . 2018

机译：使用最大熵概率对具有预定程度序列的双硅石或定向图进行模拟
9. Bipartitions Based on Degree Constraints. [D] . Delgado, Pamela. 2014

机译：基于度约束的二分法。
10. Generating Bipartite Networks with a Prescribed Joint Degree Distribution [O] . Asma Azizi, Jeremy Dewar, Tong Wu, -1

机译：生成具有指定联合度分布的双向网络
11. Simple Formulas for Constellations and Bipartite Maps with Prescribed Degrees [O] . Baptiste Louf 2019

机译：星座的简单公式和具有规定度的二分层地图
12. Decomposition of Bipartite Graphs under Degree Constraints [R] . Broersma, H. J., van den Heuvel, J., Faudree, R. J., 1991

机译：程度约束下二分图的分解

Simple Formulas for Constellations and Bipartite Maps with Prescribed Degrees

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