Coloring random graphs and maximizing local diversity

Research output: Contribution to journalArticle

Abstract

We study a variation of the graph coloring problem on random graphs of finite average connectivity. Given the number of colors, we aim to maximize the number of different colors at neighboring vertices (i.e. one edge distance) of any vertex. Two efficient algorithms, belief propagation and Walksat are adapted to carry out this task. We present experimental results based on two types of random graphs for different system sizes and identify the critical value of the connectivity for the algorithms to find a perfect solution. The problem and the suggested algorithms have practical relevance since various applications, such as distributed storage, can be mapped onto this problem.
Original languageEnglish
Article number057101
Number of pages4
JournalPhysical Review E
Volume74
Issue number5
DOIs
Publication statusPublished - 2 Nov 2006

Bibliographical note

Copyright of the American Physical Society

Keywords

  • graph coloring
  • finite average connectivity
  • algorithms
  • graph colouring

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