Brill-Noether Conjecture on Cactus Graphs

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2022-03-14 DOI:10.1007/s40306-021-00475-6

Phan Thi Ha Duong

引用次数: 1

Abstract

We give a proof of the combinatorial Brill-Noether conjecture for cactus graphs. This conjecture was formulated by Baker in 2008 when studying the interaction between algebraic curves theory and graph theory. By analyzing the treelike structure of cactus graphs, we produce a construction proof that is based on the Chip Firing Game theory.

Abstract Image

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Cactus图的Brill-Noether猜想

给出了仙人掌图组合Brill-Noether猜想的一个证明。这个猜想是Baker在2008年研究代数曲线理论和图论之间的相互作用时提出的。通过分析仙人掌图的树状结构，给出了一个基于芯片射击对策理论的构造证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.