Toric rings arising from vertex cover ideals

被引：0
|
作者：
Herzog, Jurgen [1 ]
Hibi, Takayuki [2 ]
Moradi, Somayeh [3 ]
机构：
[1] Univ Duisburg Essen, Fachbereich Math, Campus Essen, D-45117 Essen, Germany
[2] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Suita, Osaka 5650871, Japan
[3] Ilam Univ, Sch Sci, Dept Math, POB 69315-516, Ilam, Iran
来源：
ADVANCES IN APPLIED MATHEMATICS | 2024年 / 152卷
基金：
日本学术振兴会;
关键词：
Sortable; Toric rings; Vertex cover ideals; POWERS; PROPER;
D O I：
10.1016/j.aam.2023.102596
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend the sortability concept to monomial ideals which are not necessarily generated in one degree and as an application we obtain normal Cohen-Macaulay toric rings attached to vertex cover ideals of graphs. Moreover, we consider a construction on a graph called a clique multiwhiskering which always produces vertex cover ideals with componentwise linear powers. & COPY; 2023 Elsevier Inc. All rights reserved.
引用
收藏
页数：11
相关论文
共 50 条
  • [41] Double aromaticity arising from σ- and π-rings
    Shunsuke Furukawa
    Masahiro Fujita
    Yoshihiko Kanatomi
    Mao Minoura
    Miho Hatanaka
    Keiji Morokuma
    Kazuya Ishimura
    Masaichi Saito
    Communications Chemistry, 1
  • [42] Double aromaticity arising from σ- and π-rings
    Furukawa, Shunsuke
    Fujita, Masahiro
    Kanatomi, Yoshihiko
    Minoura, Mao
    Hatanaka, Miho
    Morokuma, Keiji
    Ishimura, Kazuya
    Saito, Masaichi
    COMMUNICATIONS CHEMISTRY, 2018, 1
  • [43] Multiplier ideals and modules on toric varieties
    Blickle, M
    MATHEMATISCHE ZEITSCHRIFT, 2004, 248 (01) : 113 - 121
  • [44] Hypergraph encodings of arbitrary toric ideals
    Petrovic, Sonja
    Thoma, Apostolos
    Vladoiu, Marius
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2019, 166 : 11 - 41
  • [45] Computing Grobner fans of toric ideals
    Huber, B
    Thomas, RR
    EXPERIMENTAL MATHEMATICS, 2000, 9 (03) : 321 - 331
  • [46] On robustness and related properties on toric ideals
    Ignacio García-Marco
    Christos Tatakis
    Journal of Algebraic Combinatorics, 2023, 57 : 21 - 52
  • [47] On robustness and related properties on toric ideals
    Garcia-Marco, Ignacio
    Tatakis, Christos
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2023, 57 (01) : 21 - 52
  • [48] On the binomial arithmetical rank of toric ideals
    Katsabekis, Anargyros
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (07)
  • [49] Bounds on the regularity of toric ideals of graphs
    Biermann, Jennifer
    O'Keefe, Augustine
    Van Tuyl, Adam
    ADVANCES IN APPLIED MATHEMATICS, 2017, 85 : 84 - 102
  • [50] Computation of janet bases for toric ideals
    Blinkov, Yu.A.
    Programmirovanie, 2002, 28 (05): : 65 - 69
12345