van Mourik, Jort and Saad, David (2002). Random graph coloring:Statistical physics approach. Physical Review E, 66 (5),
Abstract
The problem of vertex coloring in random graphs is studied using methods of statistical physics and probability. Our analytical results are compared to those obtained by exact enumeration and Monte Carlo simulations. We critically discuss the merits and shortcomings of the various methods, and interpret the results obtained. We present an exact analytical expression for the two-coloring problem as well as general replica symmetric approximated solutions for the thermodynamics of the graph coloring problem with p colors and K-body edges. ©2002 The American Physical Society.
Publication DOI: | https://doi.org/10.1103/PhysRevE.66.056120 |
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Divisions: | College of Engineering & Physical Sciences > Systems analytics research institute (SARI) |
Uncontrolled Keywords: | graph coloring problem,Monte-Carlo simulations,thermodynamics,General Physics and Astronomy,Condensed Matter Physics,Statistical and Nonlinear Physics,Mathematical Physics |
Publication ISSN: | 1550-2376 |
Last Modified: | 06 Aug 2024 07:04 |
Date Deposited: | 11 Mar 2019 17:31 |
Full Text Link: | |
Related URLs: |
http://www.scop ... tnerID=8YFLogxK
(Scopus URL) https://journal ... sRevE.66.056120 (Publisher URL) |
PURE Output Type: | Article |
Published Date: | 2002-11-21 |
Authors: |
van Mourik, Jort
(![]() Saad, David ( ![]() |