Packing edges in random regular graphs

被引：0
|
作者：
Beis, M [1 ]
Duckworth, W
Zito, M
机构：
[1] Macquarie Univ, Dept Comp, Sydney, NSW 2109, Australia
[2] Univ Liverpool, Dept Comp Sci, Liverpool L69 7ZF, Merseyside, England
来源：
MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE 2002 | 2002年 / 2420卷
关键词：
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
A k-separated matching in a graph is a set of edges at distance at least k from one another (hence, for instance, a 1-separated matching is just a matching in the classical sense). We consider the problem of approximating the solution to the maximum k-separated matching problem in random r-regular graphs for each fixed integer k and each fixed r greater than or equal to 3. We prove both constructive lower bounds and combinatorial upper bounds on the size of the optimal solutions.
引用
收藏
页码：118 / 130
页数：13
相关论文
共 50 条
  • [31] RANDOM SUBGRAPHS OF REGULAR GRAPHS
    QUINTAS, LV
    LECTURE NOTES IN MATHEMATICS, 1984, 1073 : 150 - 160
  • [32] The existence of even regular factors of regular graphs on the number of cut edges
    Fan, Hong Bing
    Liu, Gui Zhen
    Liu, Ji Ping
    Long, He Ping
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (12) : 2305 - 2312
  • [33] The Existence of Even Regular Factors of Regular Graphs on the Number of Cut Edges
    Hong Bing FAN Department of Computer Science
    Acta Mathematica Sinica(English Series), 2010, 26 (12) : 2305 - 2312
  • [34] Cut-Edges and Regular Factors in Regular Graphs of Odd Degree
    Kostochka, Alexandr V.
    Raspaud, Andre
    Toft, Bjarne
    West, Douglas B.
    Zirlin, Dara
    GRAPHS AND COMBINATORICS, 2021, 37 (01) : 199 - 207
  • [35] LOCAL ALGORITHMS, REGULAR GRAPHS OF LARGE GIRTH, AND RANDOM REGULAR GRAPHS
    Hoppen, Carlos
    Wormald, Nicholas
    COMBINATORICA, 2018, 38 (03) : 619 - 664
  • [36] The existence of even regular factors of regular graphs on the number of cut edges
    Hong Bing Fan
    Gui Zhen Liu
    Ji Ping Liu
    He Ping Long
    Acta Mathematica Sinica, English Series, 2010, 26 : 2305 - 2312
  • [37] Local Algorithms, Regular Graphs of Large Girth, and Random Regular Graphs
    Carlos Hoppen
    Nicholas Wormald
    Combinatorica, 2018, 38 : 619 - 664
  • [38] Cut-Edges and Regular Factors in Regular Graphs of Odd Degree
    Alexandr V. Kostochka
    André Raspaud
    Bjarne Toft
    Douglas B. West
    Dara Zirlin
    Graphs and Combinatorics, 2021, 37 : 199 - 207
  • [39] Random regular graphs and the systole of a random surface
    Petri, Bram
    JOURNAL OF TOPOLOGY, 2017, 10 (01) : 211 - 267
  • [40] MULTIPLE RANDOM WALKS IN RANDOM REGULAR GRAPHS
    Cooper, Colin
    Frieze, Alan
    Radzik, Tomasz
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2009, 23 (04) : 1738 - 1761
12345