The graphs of pyramids are determined by their spectrum

Autor:	Krupnik, Noam, Berman, Abraham
Rok vydání:	2023
Předmět:	Mathematics - Combinatorics 05C50 15B48
Druh dokumentu:	Working Paper
Popis:	For natural numbers $k1$ we refer to $T_{n,k}$ as a \emph{graph of pyramids}. We prove that the graphs of pyramids are determined by their spectrum, and that a star $S_{n}$ is determined by its spectrum iff $n$ is prime. We also show that the graphs $T_{n,k}$ are completely positive iff $k\le2$. Comment: 17 Pages. 6 sections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.05251 Zobrazit plný text záznamu View this record from Arxiv