An optimal algorithm for finding biconnected components in permutation graphs

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An optimal algorithm for finding biconnected components in permutation graphs

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ACM Annual Computer Science Conference archive
Proceedings of the 1995 ACM 23rd annual conference on Computer science table of contents

Nashville, Tennessee, United States

Pages: 104 - 108

Year of Publication: 1995

ISBN:0-89791-737-5

Authors

Y. Daniel Liang	Department of Computer Science, Indiana Purdue University at Fort Wayne, Fort Wayne, IN
Chongkye Rhee	Department of Mathematics, Statistics and Computer Science, Eastern Kentucky University, Richmond, KY

Sponsor

ACM: Association for Computing Machinery

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 3, Downloads (12 Months): 18, Citation Count: 1

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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.

	1	M.J. Atallah and S. R. Kosaraju, An efficient algorithm {or rnaxdominance, with applications, Algorithmica, 4 { 1989) 221-236.
	2	Mikhail J. Atallah , Glenn K. Manacher , J. Urrutia, Finding a minimum independent dominating set in a permutation graph, Discrete Applied Mathematics, v.21 n.3, p.177-183, October 1988 [doi>10.1016/0166-218X(88)90064-9]
	3	Andreas Brandstädt , Dieter Kratsch, On domination problems for permutation and other graphs, Theoretical Computer Science, v.54 n.2-3, p.181-198, Oct. 1987 [doi>10.1016/0304-3975(87)90128-9]
	4	C.J. Colbourn, J. M. Keil and L. K. Stewart, Finding minimum dominating cycles in permutation graphs, Operations Research Letter 4 (1985) 13-17.
	5	M. Farber and J. M. Keil, Domination in permutation graphs, J. ofAigo. 6 (1985) 309-321.
	6	M.C. Golumbic, Algorithmic Graph Theor3, and Perfect Graphs, Academic Press, New York, 1980.
	7	Dorit S. Hochbaum, Why should biconnected components be identified first, Discrete Applied Mathematics, v.42 n.2-3, p.203-210, April 27, 1993 [doi>10.1016/0166-218X(93)90046-Q]
	8	Y. Liang , C. Rhee , S. K. Dhall , S. Lakshmivarahan, A new approach for the domination problem on permutation graphs, Information Processing Letters, v.37 n.4, p.219-224, Feb. 28, 1991 [doi>10.1016/0020-0190(91)90192-K]
	9	A. Pnueli, A. Lempel and S. Even, Transitive orientation of graphs and identification of permutation graphs, Canadian J. of Math. 23 ( 1971) 160-175.
	10	C. Rhee , Y. Daniel Liang , S. K. Dhall , S. Lakshmivarahan, Efficient algorithms for finding depth-first and breadth-first search trees in permutation graphs, Information Processing Letters, v.49 n.1, p.45-50, Jan. 14, 1994 [doi>10.1016/0020-0190(94)90053-1]
	11	C. Rhee , Y. D. Liang , S. K. Dhall , S. Lakshmivarahan, An $O(N + M)$-Time Algorithm for Finding a Minimum-WeightDominating Set in a Permutation Graph, SIAM Journal on Computing, v.25 n.2, p.404-419, February 1996 [doi>10.1137/S0097539794200383]
	12	J. Spinrad, On comparability and permutation graphs, SIAM J. Computing, 14 (1985) 658-670.
	13	Kuo-Hui Tsai , Wen-Lian Hsu, Fast algorithms for the dominating set problem on permutation graphs, Proceedings of the international symposium on Algorithms, p.109-117, August 1990, Tokyo, Japan