Random graph coloring:Statistical physics approach

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
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Uncontrolled Keywords: graph coloring problem,Monte-Carlo simulations,thermodynamics,Physics and Astronomy(all),Condensed Matter Physics,Statistical and Nonlinear Physics,Mathematical Physics
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... sRevE.66.056120 (Publisher URL)
Published Date: 2002-11-21
Authors: van Mourik, Jort
Saad, David ( 0000-0001-9821-2623)

Download

[img]

Version: Accepted Version

| Preview

Export / Share Citation


Statistics

Additional statistics for this record