Generalized spectral characterization of signed trees

Autor:	Ji, Yizhe, Wang, Wei, Zhang, Hao
Rok vydání:	2023
Předmět:	Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	Let $T$ be a tree with an irreducible characteristic polynomial $\phi(x)$ over $\mathbb{Q}$. Let $\Delta(T)$ be the discriminant of $\phi(x)$. It is proved that if $2^{-\frac n2}\sqrt{\Delta(T)}$ (which is always an integer) is odd and square free, then every signed tree with underlying graph $T$ is determined by its generalized spectrum.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.00846 Zobrazit plný text záznamu View this record from Arxiv