A Note on Jacobians, Tutte Polynomials, and Two-Variable Zeta Functions of Graphs

被引：15

作者：

Clancy, Julien ^{[1
]}

Leake, Timothy ^{[1
]}

Payne, Sam ^{[1
]}

机构：

[1] Yale Univ, Dept Math, New Haven, CT 06511 USA

来源：

EXPERIMENTAL MATHEMATICS | 2015年 / 24卷 / 01期

关键词：

graph Jacobians; Tutte polynomials; graph zeta functions; tropical Brill-Noether theory; Tutte's rotor construction; random graphs; Cohen-Lenstra heuristics; NUMBER-FIELDS;

D O I：

10.1080/10586458.2014.917443

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We address questions posed by Lorenzini about relations between Jacobians, Tutte polynomials, and the Brill-Noether theory of finite graphs, as encoded in his two-variable zeta functions. In particular, we give examples showing that none of these invariants is determined by the other two.

引用

页码：1 / 7

页数：7

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