Modular decomposition and the Reconstruction Conjecture

被引:0
|
作者
Brignall, Robert [1 ]
Georgiou, Nicholas [2 ]
Waters, Robert J.
机构
[1] Open Univ, Dept Math & Stat, Milton Keynes, Bucks, England
[2] Univ Bristol, Dept Math, Bristol, Avon, England
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove that a large family of graphs which are decomposable with respect to the modular decomposition can be reconstructed from their collection of vertex-deleted subgraphs.
引用
收藏
页码:123 / 134
页数:12
相关论文
共 50 条
  • [41] SLOPES OF MODULAR FORMS AND THE GHOST CONJECTURE, II
    Bergdall, John
    Pollack, Robert
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 372 (01) : 357 - 388
  • [42] Frankl's conjecture is true for modular lattices
    Abe, T
    Nakano, B
    GRAPHS AND COMBINATORICS, 1998, 14 (04) : 305 - 311
  • [43] The “log rank” conjecture for modular communication complexity
    C. Meinel
    S. Waack
    computational complexity, 2001, 10 : 70 - 91
  • [44] On Gallai?s path decomposition conjecture
    Xie, Mengmeng
    FILOMAT, 2023, 37 (17) : 5829 - 5834
  • [45] A cycle decomposition conjecture for Eulerian graphs
    Chartrand, Gary
    Jordon, Heather
    Zhang, Ping
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2014, 58 : 48 - 59
  • [46] A decomposition theorem for frames and the feichtinger conjecture
    Casazza, Peter G.
    Kutyniok, Gitta
    Speegle, Darrin
    Tremain, Janet C.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (06) : 2043 - 2053
  • [47] Reductions for the 3-Decomposition Conjecture
    Bachtler, Oliver
    Heinrich, Irene
    XII LATIN-AMERICAN ALGORITHMS, GRAPHS AND OPTIMIZATION SYMPOSIUM, LAGOS 2023, 2023, 224 : 96 - 103
  • [48] DISPROOF OF A CONJECTURE IN GRAPH RECONSTRUCTION THEORY
    MIKLOS, D
    COMBINATORICA, 1992, 12 (03) : 367 - 369
  • [49] PROOF OF HARARY CONJECTURE ON THE RECONSTRUCTION OF TREES
    LAURI, J
    DISCRETE MATHEMATICS, 1983, 43 (01) : 79 - 90
  • [50] Reconstruction number for Ulam's conjecture
    Ramachandran, S
    ARS COMBINATORIA, 2006, 78 : 289 - 296