Generalized binomial edge ideals of bipartite graphs

被引:0
作者
Shen, Yi-Huang [1 ]
Zhu, Guangjun [2 ]
机构
[1] Univ Sci & Technol China, Sch Math Sci, CAS Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China
[2] Soochow Univ, Sch Math Sci, Suzhou 215006, Jiangsu, Peoples R China
关键词
Regularity; Dimension; Depth; Generalized binomial edge ideal; Bipartite graph; Fan graph; REGULARITY;
D O I
10.1016/j.jalgebra.2024.08.026
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Connected bipartite graphs whose binomial edge ideals are Cohen-Macaulay have been classified by Bolognini et al. In this paper, we compute the depth, Castelnuovo-Mumford regularity, and dimension of the generalized binomial edge ideals of these graphs. (c) 2024 Published by Elsevier Inc.
引用
收藏
页码:167 / 213
页数:47
相关论文
共 20 条
  • [11] Regularity of powers of quadratic sequences with applications to binomial ideals
    Jayanthan, A., V
    Kumar, Arvind
    Sarkar, Rajib
    [J]. JOURNAL OF ALGEBRA, 2020, 564 : 98 - 118
  • [12] Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs
    Jayanthan, A. V.
    Kumar, Arvind
    [J]. COMMUNICATIONS IN ALGEBRA, 2019, 47 (11) : 4797 - 4805
  • [13] Regularity of binomial edge ideals of certain block graphs
    Jayanthan, A. V.
    Narayanan, N.
    Rao, B. V. Raghavendra
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2019, 129 (03):
  • [14] Katsabekis A, 2023, Arxiv, DOI arXiv:2207.02256
  • [15] Regularity bound of generalized binomial edge ideal of graphs
    Kumar, Arvind
    [J]. JOURNAL OF ALGEBRA, 2020, 546 : 357 - 369
  • [16] On some invariants of a mixed product of ideals
    Le Tuan Hoa
    Nguyen Duc Tam
    [J]. ARCHIV DER MATHEMATIK, 2010, 94 (04) : 327 - 337
  • [17] Madani SS, 2013, ELECTRON J COMB, V20
  • [18] GRAPHS AND IDEALS GENERATED BY SOME 2-MINORS
    Ohtani, Masahiro
    [J]. COMMUNICATIONS IN ALGEBRA, 2011, 39 (03) : 905 - 917
  • [19] Generalized binomial edge ideals
    Rauh, Johannes
    [J]. ADVANCES IN APPLIED MATHEMATICS, 2013, 50 (03) : 409 - 414
  • [20] Sharp, 1998, CAMBRIDGE STUDIES AD, V60