Independent Trees in Planar Graphs Independent trees

被引：1
|
作者：
Andreas Huck
机构：
[1] Institute of Mathematics,
[2] University of Hannover,undefined
[3] Welfengarten 1,undefined
[4] 30167 Hannover,undefined
[5] Germany. e-mail: huck@math.uni-hannover.de,undefined
来源：
Graphs and Combinatorics | 1999年 / 15卷 / 1期
关键词：
Span Tree; Planar Graph; Independent Tree; Undirected Planar Graph;
D O I：
10.1007/PL00021190
中图分类号：
学科分类号：
摘要：
 We prove the following statement: Let G be a finite k-connected undirected planar graph and s be a vertex of G. Then there exist k spanning trees T1,…,Tk in G such that for each vertex x≠s of G, the k paths from x to s in T1,…,Tk are pairwise openly disjoint.
引用
收藏
页码：29 / 77
页数：48
相关论文
共 50 条
  • [41] Decomposition of some planar graphs into trees
    Petrovic, V
    [J]. DISCRETE MATHEMATICS, 1996, 150 (1-3) : 449 - 451
  • [42] Uniform Spanning Trees of Planar Graphs
    Nachmias, Asaf
    [J]. PLANAR MAPS, RANDOM WALKS AND CIRCLE PACKING: ECOLE D'ETE DE PROBABILITES DE SAINT-FLOUR XLVIII - 2018, 2020, 2243 : 89 - 103
  • [43] COMPLETELY INDEPENDENT SPANNING TREES IN (PARTIAL) k-TREES
    Matsushita, Masayoshi
    Otachi, Yota
    Araki, Toru
    [J]. DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2015, 35 (03) : 427 - 437
  • [44] Finding independent spanning trees in partial k-trees
    Zhou, X
    Nishizeki, T
    [J]. ALGORITHM AND COMPUTATION, PROCEEDINGS, 2001, 1969 : 168 - 179
  • [45] Parallel construction of optimal independent spanning trees on Cartesian product of complete graphs
    Chen, Xie-Bin
    [J]. INFORMATION PROCESSING LETTERS, 2011, 111 (05) : 235 - 238
  • [46] Two Algorithms for Constructing Independent Spanning Trees in (n,k)-Star Graphs
    Huang, Jie-Fu
    Cheng, Eddie
    Hsieh, Sun-Yuan
    [J]. IEEE ACCESS, 2020, 8 : 175932 - 175947
  • [47] Two algorithms for constructing independent spanning trees in (n,k)-star graphs
    Huang, Jie-Fu
    Cheng, Eddie
    Hsieh, Sun-Yuan
    [J]. IEEE Access, 2020, 8 : 175932 - 195947
  • [48] Two Completely Independent Spanning Trees of P4-Free Graphs
    Chen, Xiaodong
    Li, Jingjing
    Lu, Fuliang
    [J]. GRAPHS AND COMBINATORICS, 2023, 39 (02)
  • [49] Lower Boundary Independent Broadcasts in Trees
    Mynhardt, Kieka
    Marchessault, Elise
    [J]. DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2024, 44 (01) : 75 - 99
  • [50] Independent Spanning Trees in Networks: A Survey
    Cheng, Baolei
    Wang, Dajin
    Fan, Jianxi
    [J]. ACM COMPUTING SURVEYS, 2023, 55 (14S)
12345