Stability of depth functions of cover ideals of balanced hypergraphs

被引：1
|
作者：
Nguyen Thu Hang [1 ]
机构：
[1] Thai Nguyen Univ Sci, Thai Nguyen, Vietnam
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2020年 / 19卷 / 03期
关键词：
Depth function; cover ideals; powers of ideals; COHEN-MACAULAYNESS; MONOMIAL IDEALS; POWERS; ALGEBRAS; PERSISTENCE; BEHAVIOR;
D O I：
10.1142/S0219498820500553
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the depth functions of cover ideals of balanced hypergraph have the non-increasing property. Furthermore, we also give a bound for the index of depth stability of these ideals.
引用
下载
收藏
页数：13
相关论文
共 50 条
  • [41] On the cover Ramsey number of Berge hypergraphs
    Lu, Linyuan
    Wang, Zhiyu
    DISCRETE MATHEMATICS, 2020, 343 (09)
  • [42] Stability of coal mine roadway intersection in great depth of cover
    Lu, T. K.
    Chen, X.
    BOUNDARIES OF ROCK MECHANICS: RECENT ADVANCES AND CHALLENGES FOR THE 21ST CENTURY, 2008, : 333 - 337
  • [43] Fractionally Balanced Hypergraphs and Rainbow KKM Theorems
    Ron Aharoni
    Eli Berger
    Joseph Briggs
    Erel Segal-Halevi
    Shira Zerbib
    Combinatorica, 2022, 42 : 913 - 951
  • [44] IDEALS WITH SLIDING DEPTH
    HERZOG, J
    VASCONCELOS, WV
    VILLARREAL, R
    NAGOYA MATHEMATICAL JOURNAL, 1985, 99 (SEP) : 159 - 172
  • [45] Fractionally Balanced Hypergraphs and Rainbow KKM Theorems
    Aharoni, Ron
    Berger, Eli
    Briggs, Joseph
    Segal-Halevi, Erel
    Zerbib, Shira
    COMBINATORICA, 2022, 42 (SUPPL 1) : 913 - 951
  • [46] Perfect matchings in balanced hypergraphs - A combinatorial approach
    Huck, A
    Triesch, E
    COMBINATORICA, 2002, 22 (03) : 409 - 416
  • [47] Binary set systems and totally balanced hypergraphs
    Chatel, Celia
    Brucker, Francois
    Prea, Pascal
    DISCRETE APPLIED MATHEMATICS, 2021, 295 (295) : 120 - 133
  • [48] Perfect Matchings in Balanced Hypergraphs – A Combinatorial Approach
    Andreas Huck
    Eberhard Triesch
    Combinatorica, 2002, 22 : 409 - 416
  • [49] Balls and Bins with Structure: Balanced Allocations on Hypergraphs
    Godfrey, P. Brighten
    PROCEEDINGS OF THE NINETEENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, 2008, : 511 - 517
  • [50] WEAKLY POLYMATROIDAL IDEALS WITH APPLICATIONS TO VERTEX COVER IDEALS
    Mohammadi, Fatemeh
    Moradi, Somayeh
    OSAKA JOURNAL OF MATHEMATICS, 2010, 47 (03) : 627 - 636
12345