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
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
  • [1] Regularity of powers of d-sequence (parity) binomial edge ideals of unicycle graphs
    Amalore Nambi, Marie
    Kumar, Neeraj
    COMMUNICATIONS IN ALGEBRA, 2024, 52 (06) : 2598 - 2615
  • [2] Regularity of powers of (parity) binomial edge ideals
    Shen, Yi-Huang
    Zhu, Guangjun
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2023, 57 (01) : 75 - 100
  • [3] Regularity of powers of (parity) binomial edge ideals
    Yi-Huang Shen
    Guangjun Zhu
    Journal of Algebraic Combinatorics, 2023, 57 : 75 - 100
  • [4] An upper bound for the regularity of binomial edge ideals of trees
    Jayanthan, A., V
    Narayanan, N.
    Rao, B. V. Raghavendra
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2019, 18 (09)
  • [5] Regularity of Powers of Binomial Edge Ideals of Complete Multipartite Graphs
    Wang, Hong
    Tang, Zhongming
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023, 73 (03) : 793 - 810
  • [6] Regularity of powers of binomial edge ideals of complete multipartite graphs
    Hong Wang
    Zhongming Tang
    Czechoslovak Mathematical Journal, 2023, 73 : 793 - 810
  • [7] On the regularity of binomial edge ideals
    Ene, Viviana
    Zarojanu, Andrei
    MATHEMATISCHE NACHRICHTEN, 2015, 288 (01) : 19 - 24
  • [8] The regularity of powers of edge ideals
    Banerjee, Arindam
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2015, 41 (02) : 303 - 321
  • [9] The regularity of powers of edge ideals
    Arindam Banerjee
    Journal of Algebraic Combinatorics, 2015, 41 : 303 - 321
  • [10] Regularity of Initial Ideal of Binomial Edge Ideals in Degree 2 and Their Powers
    Rahim, Bakhtyar Mahmood
    Saremi, Hero
    Hama, Mudhafar Fattah
    CONTEMPORARY MATHEMATICS, 2024, 5 (02): : 2246 - 2254