d-Sequence edge binomials, and regularity of powers of binomial edge ideals of trees

被引：0
|
作者：
Nambi, Marie Amalore [1 ]
Kumar, Neeraj [1 ]
机构：
[1] Indian Inst Technol Hyderabad, Dept Math, Kandi 502285, Sangareddy, India
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 10期
关键词：
Binomial edge ideal; regularity; tree; d-sequence; edge binomial; degree sequence; ASYMPTOTIC-BEHAVIOR;
D O I：
10.1142/S0219498824501548
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we provide the necessary and sufficient conditions for the edge binomials of the tree forming a d-sequence in terms of the degree sequence notion of a graph. We study the regularity of powers of the binomial edge ideals of trees generated by d-sequence edge binomials.
引用
收藏
页数：18
相关论文
共 50 条
  • [21] Regularity of binomial edge ideals of chordal graphs
    Mohammad Rouzbahani Malayeri
    Sara Saeedi Madani
    Dariush Kiani
    Collectanea Mathematica, 2021, 72 : 411 - 422
  • [22] REGULARITY OF POWERS OF EDGE IDEALS OF UNICYCLIC GRAPHS
    Alilooee, Ali
    Beyarslan, Selvi Kara
    Selvaraja, S.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2019, 49 (03) : 699 - 728
  • [23] AN UPPER BOUND FOR THE REGULARITY OF POWERS OF EDGE IDEALS
    Herzog, Jurgen
    Hibi, Takayuki
    MATHEMATICA SCANDINAVICA, 2020, 126 (02) : 165 - 169
  • [24] Integral closure of powers of edge ideals and their regularity
    Minh, Nguyen Cong
    Vu, Thanh
    JOURNAL OF ALGEBRA, 2022, 609 : 120 - 144
  • [25] Regularity of powers of edge ideals of product of graphs
    Selvaraja, S.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (07)
  • [26] Regularity of Powers of Edge Ideals of Some Graphs
    Gu Y.
    Acta Mathematica Vietnamica, 2017, 42 (3) : 445 - 454
  • [27] AN UPPER BOUND FOR THE REGULARITY OF POWERS OF EDGE IDEALS
    Moghimian, M.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (06): : 1695 - 1698
  • [28] Bound for the Regularity of Binomial Edge Ideals of Cactus Graphs
    Jayanthan, A., V
    Sarkar, Rajib
    ALGEBRA COLLOQUIUM, 2022, 29 (03) : 443 - 452
  • [29] Regularity and h-polynomials of Binomial Edge Ideals
    Takayuki Hibi
    Kazunori Matsuda
    Acta Mathematica Vietnamica, 2022, 47 : 369 - 374
  • [30] On a regularity-conjecture of generalized binomial edge ideals
    Anuvinda, J.
    Mehta, Ranjana
    Saha, Kamalesh
    COLLECTANEA MATHEMATICA, 2024,
12345