Edge rings with q-linear resolutions

被引：1

作者：

Mori, Kenta ^{[1
]}

Ohsugi, Hidefumi ^{[2
]}

Tsuchiya, Akiyoshi ^{[3
]}

机构：

[1] Kwansei Gakuin Univ, Grad Sch Sci & Technol, Dept Math Sci, Sanda, Hyogo 6691337, Japan

[2] Kwansei Gakuin Univ, Sch Sci, Dept Math Sci, Sanda, Hyogo 6691337, Japan

[3] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan

来源：

JOURNAL OF ALGEBRA | 2022年 / 593卷

关键词：

Finite graph; Edge ring; Linear resolution; delta-polynomial; TORIC IDEALS;

D O I：

10.1016/j.jalgebra.2021.11.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we give a complete classification of connected simple graphs whose edge rings have a q-linear resolution with q >= 2. In particular, we show that the edge ring of a finite connected simple graph with a q-linear resolution, where q >= 3, is a hypersurface, which was conjectured by Hibi, Matsuda, and Tsuchiya. (c) 2021 The Author(s). Published by Elsevier Inc.

引用

页码：550 / 567

页数：18

共 50 条

[41] Basic analog of Fourier series on a q-linear grid (vol 112, pg 134, 2001)
Bustoz, J
Cardoso, JL
JOURNAL OF APPROXIMATION THEORY, 2001, 113 (02) : 326 - 326
[42] On the Q-Linear Convergence of Distributed Generalized ADMM Under Non-Strongly Convex Function Components
Maros, Marie
Jalden, Joakim
IEEE TRANSACTIONS ON SIGNAL AND INFORMATION PROCESSING OVER NETWORKS, 2019, 5 (03): : 442 - 453
[43] A new approach to q-linear Diophantine fuzzy emergency decision support system for COVID19
Alaa O. Almagrabi
Saleem Abdullah
Maria Shams
Yasser D. Al-Otaibi
Shahzaib Ashraf
Journal of Ambient Intelligence and Humanized Computing, 2022, 13 : 1687 - 1713
[44] A new approach to q-linear Diophantine fuzzy emergency decision support system for COVID19
Almagrabi, Alaa O.
Abdullah, Saleem
Shams, Maria
Al-Otaibi, Yasser D.
Ashraf, Shahzaib
JOURNAL OF AMBIENT INTELLIGENCE AND HUMANIZED COMPUTING, 2022, 13 (04) : 1687 - 1713
[45] Linear growth of colloidal rings at the edge of drying droplets
Xu, Xuefeng
Ma, Liran
Huang, Doudou
Luo, Jianbin
Guo, Dan
COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS, 2014, 447 : 28 - 31
[46] Free resolutions and change of rings
Iyengar, S
JOURNAL OF ALGEBRA, 1997, 190 (01) : 195 - 213
[47] AN EXTENDED AND SLIGHTLY IMPROVED TABLE OF CRITICAL-VALUES FOR TESTING Q-LINEAR CONTRASTS IN A REPEATED MEASURES DESIGN
WILCOX, RR
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 1985, 14 (01) : 55 - 69
[48] A strategy for hepatitis diagnosis by using spherical q-linear Diophantine fuzzy Dombi aggregation information and the VIKOR method
Razzaque, Huzaira
Ashraf, Shahzaib
Kallel, Wajdi
Naeem, Muhammad
Sohail, Muhammad
AIMS MATHEMATICS, 2023, 8 (06): : 14362 - 14398
[49] Correction to: A new approach to q-linear Diophantine fuzzy emergency decision support system for COVID19
Alaa O. Almagrabi
Saleem Abdullah
Maria Shams
Yasser D. Al-Otaibi
Shahzaib Ashraf
Journal of Ambient Intelligence and Humanized Computing, 2023, 14 : 14373 - 14373
[50] Linear strand of edge ideals of comaximal graphs of commutative rings
Rather, Bilal Ahmad
Diene, Adama
Imran, Muhammad
COMMUNICATIONS IN ALGEBRA, 2024, 52 (04) : 1486 - 1500

← 1 2 3 4 5 →