A Combinatorial Method for Computing Characteristic Polynomials of Starlike Hypergraphs
Combinatorics
2021-08-31 v1
Abstract
By using the Poisson formula for resultants and the variants of chip-firing game on graphs, we provide a combinatorial method for computing a class of of resultants, i.e. the characteristic polynomials of the adjacency tensors of starlike hypergraphs including hyperpaths and hyperstars,which are given recursively and explicitly.
Cite
@article{arxiv.1806.06199,
title = {A Combinatorial Method for Computing Characteristic Polynomials of Starlike Hypergraphs},
author = {Yan-Hong Bao and Yi-Zheng Fan and Yi Wang and Ming Zhu},
journal= {arXiv preprint arXiv:1806.06199},
year = {2021}
}