Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs

Autor: Fakhari, Seyed Amin Seyed, Shibata, Kosuke, Terai, Naoki, Yassemi, Siamak
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: We characterize unmixed and Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs. We also provide examples of oriented graphs which have unmixed and non-Cohen-Macaulay vertex-weighted edge ideals, while the edge ideal of their underlying graph is Cohen-Macaulay. This disproves a conjecture posed by Pitones, Reyes and Toledo.
Databáze: arXiv