Graphs with few trivial characteristic ideals

Autor:	Alfaro, Carlos A., Barrus, Michael D., Sinkovic, John, Villagrán, Ralihe R.
Rok vydání:	2020
Předmět:	Mathematics - Combinatorics 05C25 13C40 05C50 13F20
Druh dokumentu:	Working Paper
Popis:	We give a characterization of the graphs with at most three trivial characteristic ideals. This implies the complete characterization of the regular graphs whose critical groups have at most three invariant factors equal to 1 and the characterization of the graphs whose Smith groups have at most 3 invariant factors equal to 1. We also give an alternative and simpler way to obtain the characterization of the graphs whose Smith groups have at most 3 invariant factors equal to 1, and a list of minimal forbidden graphs for the family of graphs with Smith group having at most 4 invariant factors equal to 1. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.00172 Zobrazit plný text záznamu View this record from Arxiv