Optimal vertex ordering of graphs

被引:2
|
作者
Jiang, XY [1 ]
Bunke, H [1 ]
机构
[1] Univ Bern, Dept Comp Sci, Inst Informat & Angew Math, CH-3012 Bern, Switzerland
关键词
algorithms; graph algorithms; design of algorithms; vertex ordering; minimum spanning trees;
D O I
10.1016/S0020-0190(99)00148-9
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper we consider an optimal vertex ordering problem of graphs. The vertex ordering and an optimality measure are defined. It is proved that the optimal ordering problem under consideration can be transformed into the well-known minimum-weight spanning tree problem and is therefore solvable in low-polynomial time. We also investigate some properties of optimal vertex orderings. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:149 / 154
页数:6
相关论文
共 50 条
  • [1] Optimal vertex ordering of graphs
    Department of Computer Science, Univ. Bern, Inst. Informatic A., Bern, Switzerland
    Inf Process Lett, 5-6 (149-154):
  • [2] Optimal vertex ranking of block graphs
    Hung, Ruo-Wei
    INFORMATION AND COMPUTATION, 2008, 206 (11) : 1288 - 1302
  • [4] A Note on Exact Algorithms for Vertex Ordering Problems on Graphs
    Bodlaender, Hans L.
    Fomin, Fedor V.
    Koster, Arie M. C. A.
    Kratsch, Dieter
    Thilikos, Dimitrios M.
    THEORY OF COMPUTING SYSTEMS, 2012, 50 (03) : 420 - 432
  • [5] A Note on Exact Algorithms for Vertex Ordering Problems on Graphs
    Hans L. Bodlaender
    Fedor V. Fomin
    Arie M. C. A. Koster
    Dieter Kratsch
    Dimitrios M. Thilikos
    Theory of Computing Systems, 2012, 50 : 420 - 432
  • [6] Vertex ordering and partitioning problems for random spatial graphs
    Penrose, MD
    ANNALS OF APPLIED PROBABILITY, 2000, 10 (02): : 517 - 538
  • [7] A vertex ordering characterization of simple-triangle graphs
    Takaoka, Asahi
    DISCRETE MATHEMATICS, 2018, 341 (12) : 3281 - 3287
  • [8] Vertex Ordering Characterizations of Graphs of Bounded Asteroidal Number
    Corneil, Derek G.
    Stacho, Juraj
    JOURNAL OF GRAPH THEORY, 2015, 78 (01) : 61 - 79
  • [9] Vertex ordering with optimal number of adjacent predecessors
    Omer, Jeremy
    Migot, Tangi
    DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, 2020, 22 (01):
  • [10] Tailored vertex ordering for faster triangle listing in large graphs
    Lecuyer, Fabrice
    Jachiet, Louis
    Magnien, Clemence
    Tabourier, Lionel
    2023 PROCEEDINGS OF THE SYMPOSIUM ON ALGORITHM ENGINEERING AND EXPERIMENTS, ALENEX, 2023, : 77 - 85