On the Stanley depth of edge ideals of k-partite clutters

被引：0
|
作者：
Dupont, Luis A. [1 ]
Mendoza, Daniel G. [1 ]
机构：
[1] Univ Veracruzana, Fac Matemat, Zona Univ, Circuito Gonzalo Aguirre Beltran S-N, Xalapa 91090, Ver, Mexico
来源：
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2016年 / 59卷 / 01期
关键词：
Monomial ideal; Stanley's conjecture; Stanley decompositions; Stanley depth; CONJECTURE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give upper bounds for the Stanley depth of edge ideals of certain k-partite clutters. In particular, we generalize a result of Ishaq about the Stanley depth of the edge ideal of a complete bipartite graph. A result of Pournaki, Seyed Fakhari and Yassemi implies that the Stanley's conjecture holds for d-uniform complete d-partite clutters. Here we give a shorter and different proof of this fact.
引用
收藏
页码：39 / 49
页数：11
相关论文
共 50 条
  • [11] Depth and Stanley depth of edge ideals associated to some line graphs
    Iqbal, Zahid
    Ishaq, Muhammad
    AIMS MATHEMATICS, 2019, 4 (03): : 686 - 698
  • [12] Depth and Stanley depth of the edge ideals of square paths and square cycles
    Iqbal, Zahid
    Ishaq, Muhammad
    Aamir, Muhammad
    COMMUNICATIONS IN ALGEBRA, 2018, 46 (03) : 1188 - 1198
  • [13] Coloring k-partite sparse digraphs
    Harutyunyan, Ararat
    Harutyunyan, Louisa
    Hovhannisyan, Narek
    DISCRETE APPLIED MATHEMATICS, 2024, 353 : 1 - 3
  • [14] SCORE SETS IN k-PARTITE TOURNAMENTS
    Pirzada, S.
    Naikoo, T. A.
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2006, 22 (1-2) : 237 - 245
  • [15] Hamiltonian cycles in k-partite graphs
    DeBiasio, Louis
    Krueger, Robert A.
    Pritikin, Dan
    Thompson, Eli
    JOURNAL OF GRAPH THEORY, 2020, 94 (01) : 92 - 112
  • [16] HAMILTONICITY IN BALANCED K-PARTITE GRAPHS
    CHEN, GT
    FAUDREE, RJ
    GOULD, RJ
    JACOBSON, MS
    LESNIAK, L
    GRAPHS AND COMBINATORICS, 1995, 11 (03) : 221 - 231
  • [17] THE MEDIAN PROBLEM ON k-PARTITE GRAPHS
    Pravas, Karuvachery
    Vijayakumar, Ambat
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2015, 35 (03) : 439 - 446
  • [18] On degree sets in k-partite graphs
    Naikoo, T. A.
    Samee, U.
    Pirzada, S.
    Rather, Bilal A.
    ACTA UNIVERSITATIS SAPIENTIAE INFORMATICA, 2020, 12 (02) : 251 - 259
  • [19] DEGREE FREQUENCIES IN K-PARTITE TOURNAMENTS
    TOSIC, R
    GRAPH THEORY, 1989, : 123 - 126
  • [20] K-Partite RNA Secondary Structures
    Jiang, Minghui
    Tejada, Pedro J.
    Lasisi, Ramoni O.
    Cheng, Shanhong
    Fechser, D. Scott
    ALGORITHMS IN BIOINFORMATICS, PROCEEDINGS, 2009, 5724 : 157 - 168
12345