Work

Higher matrix-tree theorems

Year: 2011

Type: preprint

Abstract: We calculate determinants of weighted sums of reflections and of (nested) commutators of reflections. The results obtained generalize the Kirchhoff's matrix-tree theorem and the matrix-3-hypertree theorem by G.\,Massbaum and A.\,Vaintrob.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1109.6625

Authors: Burman, Yurii, Ploskonosov, Andrey, Trofimova, Anastasia

Institution: National Research University Higher School of Economics

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W85143946

Cites: 3

Cited by: 1

Related to: 10