Symbolic Powers of Cover Ideals of Graphs and Koszul Property

Autor: Gu, Yan, Hà, Huy Tài, Skelton, Joseph W.
Rok vydání: 2020
Předmět:
Zdroj: IJAC 31 (2021) 865 - 881
Druh dokumentu: Working Paper
DOI: 10.1142/S0218196721500405
Popis: We show that attaching a whisker (or a pendant) at the vertices of a cycle cover of a graph results in a new graph with the following property: all symbolic powers of its cover ideal are Koszul or, equivalently, componentwise linear. This extends previous work where the whiskers were added to all vertices or to the vertices of a vertex cover of the graph.
Databáze: arXiv