Cohen-Macaulay edge-weighted graphs of girth 5 or greater

被引:0
|
作者
Truong, Thi Hien [1 ]
机构
[1] Hong Duc Univ, Fac Nat Sci, 565 Quang Trung St,Dong Ward, Thanh Hoa, Vietnam
关键词
Cohen-Macaulay; edge ideals; edge-weighted graphs; well-covered;
D O I
10.1080/00927872.2025.2451102
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G omega be an edge-weighted graph whose underlying graph is G. In this paper, we enlarge the class of Cohen-Macaulay edge-weighted graphs G omega by classifying completely them when the graph G has girth 5 or greater.
引用
收藏
页数:13
相关论文
共 50 条
  • [1] The sequentially Cohen-Macaulay property of edge ideals of edge-weighted graphs
    Diem, Ly Thi Kieu
    Minh, Nguyen Cong
    Vu, Thanh
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2024, 60 (02) : 589 - 597
  • [2] Cohen-Macaulay edge-weighted edge ideals of very well-covered graphs
    Seyed Fakhari, Seyed Amin
    Shibata, Kosuke
    Terai, Naoki
    Yassemi, Siamak
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (10) : 4249 - 4257
  • [3] Cohen-Macaulay graphs with large girth
    Do Trong Hoang
    Nguyen Cong Minh
    Tran Nam Trung
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2015, 14 (07)
  • [4] Cohen-Macaulay property of binomial edge ideals with girth of graphs
    Saha, Kamalesh
    Sengupta, Indranath
    JOURNAL OF ALGEBRA, 2024, 658 : 533 - 555
  • [5] Cohen-Macaulay oriented graphs with large girth
    Dung, Le Xuan
    Trung, Tran Nam
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2025, 61 (01)
  • [6] COHEN-MACAULAY GRAPHS
    VILLARREAL, RH
    MANUSCRIPTA MATHEMATICA, 1990, 66 (03) : 277 - 293
  • [7] UNMIXED AND COHEN-MACAULAY WEIGHTED ORIENTED KONIG GRAPHS
    Pitones, Yuriko
    Reyes, Enrique
    Villarreal, Rafael H.
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2021, 58 (03) : 276 - 292
  • [8] Cohen-Macaulay weighted oriented chordal and simplicial graphs
    Saha, Kamalesh
    ARCHIV DER MATHEMATIK, 2024, 122 (06) : 591 - 597
  • [9] Cohen-Macaulay binomial edge ideals and accessible graphs
    Bolognini, Davide
    Macchia, Antonio
    Strazzanti, Francesco
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2022, 55 (04) : 1139 - 1170
  • [10] Cohen-Macaulay binomial edge ideals of small graphs
    Bolognini, Davide
    Macchia, Antonio
    Rinaldo, Giancarlo
    Strazzanti, Francesco
    JOURNAL OF ALGEBRA, 2024, 638 : 189 - 213