Propagation tree decompositions and linearly independent vertices

被引:0
|
作者
Mitchell, Lon [1 ]
机构
[1] Univ S Florida, St Petersburg, FL 33701 USA
关键词
Propagation tree decompositions; Zero-forcing; OS-sets; Minimum semidefinite rank;
D O I
10.1016/j.tcs.2020.10.016
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We explore the relationship between propagation tree decompositions of a graph of a given size and the OS-sets of the same size, showing that each can generate the other. We give a short constructive proof that the OS-sets are in bijective correspondence with a subset of the propagation tree decompositions. (C) 2020 Elsevier B.V. All rights reserved.
引用
下载
收藏
页码:159 / 162
页数:4
相关论文
共 50 条
  • [21] Reconfiguration over Tree Decompositions
    Mouawad, Amer E.
    Nishimura, Naomi
    Raman, Venkatesh
    Wrochna, Marcin
    PARAMETERIZED AND EXACT COMPUTATION, IPEC 2014, 2014, 8894 : 246 - 257
  • [22] A note on the tree decompositions of graphs
    Shi, MY
    CHINESE SCIENCE BULLETIN, 1997, 42 (23): : 1948 - 1952
  • [23] Optimizing Tree Decompositions in MSO
    Bojanczyk, Mikolaj
    Pilipczuk, Michal
    34TH SYMPOSIUM ON THEORETICAL ASPECTS OF COMPUTER SCIENCE (STACS 2017), 2017, 66
  • [24] Tree decompositions and social graphs
    Adcock, Aaron B.
    Sullivan, Blair D.
    Mahoney, Michael W.
    INTERNET MATHEMATICS, 2016, 12 (05) : 315 - 361
  • [25] Tree decompositions of small diameter
    Bodlaender, HL
    Hagerup, T
    MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE 1998, 1998, 1450 : 702 - 712
  • [26] Tree decompositions with small cost
    Bodlaender, HL
    Fomin, FV
    ALGORITHM THEORY - SWAT 2002, 2002, 2368 : 378 - 387
  • [27] Tree approximation with anisotropic decompositions
    Grohs, P.
    APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2012, 33 (01) : 44 - 57
  • [28] OPTIMIZING TREE DECOMPOSITIONS IN MSO
    Bojańczyk M.
    Pilipczuk M.
    Logical Methods in Computer Science, 2022, 18 (01):
  • [29] Tree decompositions for a class of graphs
    Shi, MY
    Li, YJ
    Tian, F
    DISCRETE MATHEMATICS, 1998, 189 (1-3) : 221 - 232
  • [30] Tree decompositions with small cost
    Bodlaender, HL
    Fomin, FV
    DISCRETE APPLIED MATHEMATICS, 2005, 145 (02) : 143 - 154