Parallel Algorithms for Finding the Center of Interval and Circular-Arc Graphs

Fang Rong HSU  Man Kwan SHAN  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E86-A   No.10   pp.2704-2709
Publication Date: 2003/10/01
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Graphs and Networks
parallel algorithms,  EREW PRAM,  center problem,  interval graph,  circular-arc graph,  

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The center problem of a graph is motivated by a number of facility location problems. In this paper, we propose parallel algorithms for finding the center of interval graphs and circular-arc graphs. Our algorithms run in O(log n) time algorithm using O(n/log n) processors while the intervals and arcs are given in sorted order. Our algorithms are on the EREW PRAM model.