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2004 | 24 | 1 | 137-145

Tytuł artykułu

A simple linear algorithm for the connected domination problem in circular-arc graphs

Treść / Zawartość

Warianty tytułu

Języki publikacji

EN

Abstrakty

EN
A connected dominating set of a graph G = (V,E) is a subset of vertices CD ⊆ V such that every vertex not in CD is adjacent to at least one vertex in CD, and the subgraph induced by CD is connected. We show that, given an arc family F with endpoints sorted, a minimum-cardinality connected dominating set of the circular-arc graph constructed from F can be computed in O(|F|) time.

Wydawca

Rocznik

Tom

24

Numer

1

Strony

137-145

Opis fizyczny

Daty

wydano
2004
otrzymano
2002-03-18
poprawiono
2003-01-18

Twórcy

autor
  • Department of Computer Science and Information Engineering, National Chung Cheng University, Ming-Hsiung, Chiayi 621, Taiwan, R.O.C.
  • Department of Computer Science and Information Engineering, National Chung Cheng University, Ming-Hsiung, Chiayi 621, Taiwan, R.O.C.

Bibliografia

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  • [2] M.S. Chang, Efficient algorithms for the domination problems on interval and circular-arc graphs, SIAM J. Comput. 27 (1998) 1671-1694, doi: 10.1137/S0097539792238431.
  • [3] M.S. Chang, Weighted domination of cocomparability graphs, Discrete Appl. Math. 80 (1997) 135-147, doi: 10.1016/S0166-218X(97)80001-7.
  • [4] D.Z. Chen, D.T. Lee, R. Sridhar, and C.N. Sekharan, Solving the all-pair shortest path query problem on interval and circular-arc graphs, Networks 31 (1998) 249-258, doi: 10.1002/(SICI)1097-0037(199807)31:4<249::AID-NET5>3.0.CO;2-D
  • [5] E.M. Eschen and J. Spinrad, An O(n²) algorithm for circular-arc graph recognition, in: Proceedings of the 4th Annual ACM-SIAM Symposium on Discrete Algorithm SODA'93 (1993) 128-137.
  • [6] M.R. Garey and D.S. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness (W.H. Freeman, San Francisco, CA, 1979).
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  • [8] M.C. Golumbic and P.L. Hammer, Stability in circular arc graphs, J. Algorithms 9 (1988) 314-320, doi: 10.1016/0196-6774(88)90023-5.
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  • [10] T.W. Haynes, S.T. Hedetniemi, and P.J. Slater, Domination in Graphs - Advanced Topics (Marcel Dekker, New York, 1998).
  • [11] W.L. Hsu, O(M·N) algorithms for the recognization and isomorphism problems on circular-arc graphs, SIAM J. Comput. 24 (1995) 411-439, doi: 10.1137/S0097539793260726.
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  • [20] S. Masuda and K. Nakajima, An optimal algorithm for finding a maximum independent set of a circular-arc graph, SIAM J. Comput. 17 (1988) 41-52, doi: 10.1137/0217003.
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Typ dokumentu

Bibliografia

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