Local Uniformity Properties for Glauber Dynamics on Graph Colorings

被引：6
|
作者：
Hayes, Thomas P. [1 ]
机构：
[1] Univ New Mexico, Dept Comp Sci, Albuquerque, NM 87131 USA
来源：
RANDOM STRUCTURES & ALGORITHMS | 2013年 / 43卷 / 02期
基金：
美国国家科学基金会;
关键词：
Markov chains; mixing times; graph coloring; MAXIMUM DEGREE; SAMPLING COLORINGS; UNIQUENESS; BOUNDS; GIRTH;
D O I：
10.1002/rsa.20502
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We investigate some local properties which hold with high probability for randomly selected colorings of a fixed graph with no short cycles. In a number of related works, establishing these particular properties has been a crucial step towards proving rapid convergence for the single-site Glauber dynamics, a Markov chain for sampling colorings uniformly at random. For a large class of graphs, this approach yields the most efficient known algorithms for sampling random colorings. (c) 2013 Wiley Periodicals, Inc.
引用
收藏
页码：139 / 180
页数：42
相关论文
共 50 条
  • [1] The Glauber dynamics on colorings of a graph with high girth and maximum degree
    Molloy, M
    SIAM JOURNAL ON COMPUTING, 2004, 33 (03) : 721 - 737
  • [2] An extension of path coupling and its application to the Glauber dynamics for graph colorings
    Dyer, M
    Goldberg, LA
    Greenhill, C
    Jerrum, M
    Mitzenmacher, M
    SIAM JOURNAL ON COMPUTING, 2001, 30 (06) : 1962 - 1975
  • [3] THE GLAUBER DYNAMICS FOR COLORINGS OF BOUNDED DEGREE TREES
    Lucier, B.
    Molloy, M.
    SIAM JOURNAL ON DISCRETE MATHEMATICS, 2011, 25 (02) : 827 - 853
  • [4] The Glauber dynamics for edge-colorings of trees
    Delcourt, Michelle
    Heinrich, Marc
    Perarnau, Guillem
    RANDOM STRUCTURES & ALGORITHMS, 2020, 57 (04) : 1050 - 1076
  • [5] Local Convergence of Random Graph Colorings
    Coja-Oghlan, Amin
    Efthymiou, Charilaos
    Jaafari, Nor
    COMBINATORICA, 2018, 38 (02) : 341 - 380
  • [6] Local Convergence of Random Graph Colorings
    Amin Coja-Oghlan
    Charilaos Efthymiou
    Nor Jaafari
    Combinatorica, 2018, 38 : 341 - 380
  • [7] GRAPH PROPERTIES AND HYPERGRAPH COLORINGS
    BROWN, JI
    CORNEIL, DG
    DISCRETE MATHEMATICS, 1991, 98 (02) : 81 - 93
  • [8] THE GLAUBER DYNAMICS OF COLORINGS ON TREES IS RAPIDLY MIXING THROUGHOUT THE NONRECONSTRUCTION REGIME
    Sly, Allan
    Zhang, Yumeng
    ANNALS OF APPLIED PROBABILITY, 2017, 27 (05): : 2646 - 2674
  • [9] ON THE ERGODIC PROPERTIES OF GLAUBER DYNAMICS
    STROOCK, D
    ZEGARLINSKI, B
    JOURNAL OF STATISTICAL PHYSICS, 1995, 81 (5-6) : 1007 - 1019
  • [10] On the Ergodic Properties of Glauber Dynamics
    Stroock, D.
    Zegarlinski, B.
    Journal of Statistical Physics,
12345