| An O(nlogn) algorithm for finding minimal path cover in circular-arc graphs |
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ACM Annual Computer Science Conference
archive
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
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Authors
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Y. Daniel Liang
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Department of Computer Science, Indiana Purdue University at Fort Wayne, Fort Wayne, IN
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G. K. Manacher
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Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL
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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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