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An O(nlogn) algorithm for finding minimal path cover in circular-arc graphs
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Proceedings of the 1993 ACM conference on Computer science table of contents
Indianapolis, Indiana, United States
Pages: 390 - 397  
Year of Publication: 1993
ISBN:0-89791-558-5
Authors
Y. Daniel Liang  Department of Computer Science, Indiana Purdue University at Fort Wayne, Fort Wayne, IN
G. K. Manacher  Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL
Sponsor
ACM: Association for Computing Machinery
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 3,   Downloads (12 Months): 14,   Citation Count: 2
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ABSTRACT

Whether there exists a polynomial algorithm for the minimal path cover problem in circular-arc graphs remains open. In this paper, we present a polynomial time algorithm for finding a minimal path cover for a set of n arcs in a circular-arc model. Our algorithm takes &Ogr;(nlogn) time.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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M.A. Bonuccelli and D. P. Borer, Minimum node-disjoint path covering for circular-arc graphs, Inform. Process. Lea. 8 (1979) 159-161.
 
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M. C, Golmnhic, Algorithmic Graph Theory and Perfect Graphs, Academic Press, New York, 1980.
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Y. D. Lians, C. Rhee, S. IL Dhall, and S. Lakshmiverahan, an O (nZlogn) algorithm for Hamiltanian path ixoblem in ~-~rc grephs, 29th AIIerton Conf~ 1991.
 
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Y.D. Lian8, G. IC Msnacher; C. Rhee., T. A. Manku~ S. IC DlmIL and S. Lakslunivarahan, an O (n logn) ai~ for finding a Hamilumian paflm and circuit in circular-arc Oapl=, mammcri~ Augtmt, 1992.
 
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S. Moran and Y. Wolfsmhl, Optimal covering of cacti by vertex-disjoint paths, Tech. Rept., Technion Instimm of TecJmology (1988).
 
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Collaborative Colleagues:
Y. Daniel Liang: colleagues
G. K. Manacher: colleagues