메뉴 건너뛰기




Volumn 127, Issue 3, 2003, Pages 565-580

On the domination search number

Author keywords

Asteroidal triple free graph; Dominating target; Domination; Graph searching

Indexed keywords


EID: 84867921972     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(02)00389-X     Document Type: Article
Times cited : (10)

References (38)
  • 1
    • 0011476543 scopus 로고    scopus 로고
    • The bandwidth of a tree with k leaves is at most k/2 ⌉
    • K. Ando, A. Kaneko, and S. Gervacio The bandwidth of a tree with k leaves is at most k/2 ⌉ Discrete Math. 150 1996 403 406
    • (1996) Discrete Math. , vol.150 , pp. 403-406
    • Ando, K.1    Kaneko, A.2    Gervacio, S.3
  • 2
    • 0027308413 scopus 로고
    • Efficient probabilistically checkable proofs and applications to approximation
    • The Association for Computing Machinery
    • M. Bellare, S. Goldwasser, C. Lund, A. Russell, Efficient probabilistically checkable proofs and applications to approximation, in: Proceedings of the Annual ACM Symposium on Theory of Computing, Vol. 25, The Association for Computing Machinery, 1993, pp. 294-304.
    • (1993) Proceedings of the Annual ACM Symposium on Theory of Computing , vol.25 , pp. 294-304
    • Bellare, M.1    Goldwasser, S.2    Lund, C.3    Russell, A.4
  • 3
    • 0005363393 scopus 로고
    • Isoperimetric problems in discrete spaces
    • János Bolyai Math. Soc., Budapest
    • S.L. Bezrukov, Isoperimetric problems in discrete spaces, in: Extremal Problems for Finite Sets (Visegrád, 1991), János Bolyai Math. Soc., Budapest, 1994, pp. 59-91.
    • (1994) Extremal Problems for Finite Sets (Visegrád, 1991) , pp. 59-91
    • Bezrukov, S.L.1
  • 4
    • 0002890643 scopus 로고
    • Graph searching, path-width, tree-width and related problems
    • (a survey)
    • D. Bienstock Graph searching, path-width, tree-width and related problems (a survey) DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 5 1991 33 49
    • (1991) DIMACS Ser. Discrete Math. Theoret. Comput. Sci. , vol.5 , pp. 33-49
    • Bienstock, D.1
  • 5
    • 0000839857 scopus 로고
    • Monotonicity in graph searching
    • D. Bienstock, and P. Seymour Monotonicity in graph searching J. Algorithms 12 1991 239 245
    • (1991) J. Algorithms , vol.12 , pp. 239-245
    • Bienstock, D.1    Seymour, P.2
  • 6
    • 0001775236 scopus 로고
    • Basic graph theory: Paths and circuits
    • R.L. Graham, M. Grötschel, L. Lovász, Elsevier Science Amsterdam
    • J.A. Bondy Basic graph theory: paths and circuits R.L. Graham, M. Grötschel, L. Lovász, Handbook of Combinatorics Vol. 1 1995 Elsevier Science Amsterdam 3 110
    • (1995) Handbook of Combinatorics , vol.1 VOL. , pp. 3-110
    • Bondy, J.A.1
  • 10
    • 0032690142 scopus 로고    scopus 로고
    • Linear time algorithms for dominating pairs in asteroidal triple-free graphs
    • D.G. Corneil, S. Olariu, and L.K. Stewart Linear time algorithms for dominating pairs in asteroidal triple-free graphs SIAM J. Comput. 28 1999 1284 1297
    • (1999) SIAM J. Comput. , vol.28 , pp. 1284-1297
    • Corneil, D.G.1    Olariu, S.2    Stewart, L.K.3
  • 11
    • 21844518709 scopus 로고
    • Searching for a mobile intruder in a corridor - The open edge variant of the polygon search problem
    • D. Crass, I. Suzuki, and M. Yamashita Searching for a mobile intruder in a corridor - the open edge variant of the polygon search problem Internat. J. Comput. Geom. Appl. 5 1995 397 412
    • (1995) Internat. J. Comput. Geom. Appl. , vol.5 , pp. 397-412
    • Crass, D.1    Suzuki, I.2    Yamashita, M.3
  • 13
    • 0002492958 scopus 로고
    • The vertex separation and search number of a graph
    • J.A. Ellis, I.H. Sudborough, and J. Turner The vertex separation and search number of a graph Inform. Comput. 113 1994 50 79
    • (1994) Inform. Comput. , vol.113 , pp. 50-79
    • Ellis, J.A.1    Sudborough, I.H.2    Turner, J.3
  • 14
    • 0009377797 scopus 로고    scopus 로고
    • Helicopter search problems, bandwidth and pathwidth
    • F.V. Fomin Helicopter search problems, bandwidth and pathwidth Discrete Appl. Math. 85 1998 59 71
    • (1998) Discrete Appl. Math. , vol.85 , pp. 59-71
    • Fomin, F.V.1
  • 15
  • 17
    • 0039637310 scopus 로고    scopus 로고
    • Pursuit-evasion and search problems on graphs
    • F.V. Fomin, and N.N. Petrov Pursuit-evasion and search problems on graphs Congressus Numerantium 122 1996 47 58
    • (1996) Congressus Numerantium , vol.122 , pp. 47-58
    • Fomin, F.V.1    Petrov, N.N.2
  • 18
    • 0038276034 scopus 로고    scopus 로고
    • Eavesdropping games a graph-theoretic approach to privacy in distributed systems
    • M. Franklin, Z. Galil, and M. Yung Eavesdropping games a graph-theoretic approach to privacy in distributed systems J. ACM 47 2000 225 243
    • (2000) J. ACM , vol.47 , pp. 225-243
    • Franklin, M.1    Galil, Z.2    Yung, M.3
  • 20
    • 0001173412 scopus 로고
    • Optimal numberings and isoperimetric problem on graphs
    • L.J. Harper Optimal numberings and isoperimetric problem on graphs J. Combin. Theory 8 1966 385 393
    • (1966) J. Combin. Theory , vol.8 , pp. 385-393
    • Harper, L.J.1
  • 22
    • 0347557462 scopus 로고
    • Approximating the bandwidth of asteroidal-triple free graphs
    • Friedrich Schiller Universität, Jena, Germany
    • T. Kloks, D. Kratsch, H. Müller, Approximating the bandwidth of asteroidal-triple free graphs, Forschungsergebnisse Math/95/6, Friedrich Schiller Universität, Jena, Germany, 1995.
    • (1995) Forschungsergebnisse Math/95/6
    • T. Kloks1
  • 23
    • 84867992074 scopus 로고    scopus 로고
    • On the structure of graphs with bounded asteroidal number
    • Friedrich-Schiller-Universität, Jena, Germany
    • T. Kloks, D. Kratsch, H. Müller, On the structure of graphs with bounded asteroidal number, Technical Report Math/Inf/97/22, Friedrich-Schiller- Universität, Jena, Germany, 1997.
    • (1997) Technical Report Math/Inf/97/22
    • T. Kloks1
  • 24
    • 0011423220 scopus 로고    scopus 로고
    • Approximating the bandwidth of asteroidal-triple free graphs
    • T. Kloks, D. Kratsch, and H. Müller Approximating the bandwidth of asteroidal-triple free graphs J. Algorithms 32 1999 41 57
    • (1999) J. Algorithms , vol.32 , pp. 41-57
    • Kloks, T.1    Kratsch, D.2    Müller, H.3
  • 25
    • 0027577361 scopus 로고
    • Recontamination does not help to search a graph
    • A.S. LaPaugh Recontamination does not help to search a graph J. ACM 40 1993 224 245
    • (1993) J. ACM , vol.40 , pp. 224-245
    • Lapaugh, A.S.1
  • 28
    • 0028514351 scopus 로고
    • On the hardness of approximation problems
    • C. Lund, and M. Yannakakis On the hardness of approximation problems J. ACM 41 1994 960 981
    • (1994) J. ACM , vol.41 , pp. 960-981
    • Lund, C.1    Yannakakis, M.2
  • 31
    • 0024018788 scopus 로고
    • Min cut is NP-complete for edge weighted trees
    • B. Monien, and I.H. Sudborough Min cut is NP-complete for edge weighted trees Theoret. Comput. Sci. 58 1988 209 229
    • (1988) Theoret. Comput. Sci. , vol.58 , pp. 209-229
    • Monien, B.1    Sudborough, I.H.2
  • 32
    • 0000865792 scopus 로고    scopus 로고
    • Characterizations and algorithmic applications of chordal graph embeddings
    • A. Parra, and P. Scheffler Characterizations and algorithmic applications of chordal graph embeddings Discrete Appl. Math. 79 1997 171 188
    • (1997) Discrete Appl. Math. , vol.79 , pp. 171-188
    • Parra, A.1    Scheffler, P.2
  • 34
    • 0039637309 scopus 로고
    • Leningr. Univ., Math. (translation from Vestn. Leningr. Univ., Ser. I 4, 1990, 12-18)
    • N.N. Petrov, I. Ture, A pursuit problem on a graph, Vestn. Leningr. Univ., Math. (translation from Vestn. Leningr. Univ., Ser. I 4, 1990, 12-18) 23 (1990) 12-19.
    • (1990) A Pursuit Problem on A Graph, Vestn , vol.23 , pp. 12-19
    • Petrov, N.N.1    Ture, I.2
  • 35
    • 0030714232 scopus 로고    scopus 로고
    • A sub-constant error-probability low-degree test, and sub-constant error-probability PCP characterization of NP
    • The Association for Computing Machinery
    • R. Raz, S. Safra, A sub-constant error-probability low-degree test, and sub-constant error-probability PCP characterization of NP, in: Proceedings of the Annual ACM Symposium on Theory of Computing, Vol. 29, The Association for Computing Machinery, 1997, pp. 475-484.
    • (1997) Proceedings of the Annual ACM Symposium on Theory of Computing , vol.29 , pp. 475-484
    • Raz, R.1    Safra, S.2
  • 36
    • 0001814458 scopus 로고
    • Graph minors - A survey
    • I. Anderson, Cambridge University Press Cambridge
    • N. Robertson, and P.D. Seymour Graph minors - a survey I. Anderson, Surveys in Combinatorics 1985 Cambridge University Press Cambridge 153 171
    • (1985) Surveys in Combinatorics , pp. 153-171
    • Robertson, N.1    Seymour, P.D.2
  • 37
    • 0040823896 scopus 로고
    • Optimal algorithms for a pursuit-evasion problem in grids
    • K. Sugihara, and I. Suzuki Optimal algorithms for a pursuit-evasion problem in grids SIAM J. Discrete Math. 2 1989 126 143
    • (1989) SIAM J. Discrete Math. , vol.2 , pp. 126-143
    • Sugihara, K.1    Suzuki, I.2
  • 38
    • 0026930270 scopus 로고
    • Searching for a mobile intruder in a polygonal region
    • I. Suzuki, and M. Yamashita Searching for a mobile intruder in a polygonal region SIAM J. Comput. 21 1992 863 888
    • (1992) SIAM J. Comput. , vol.21 , pp. 863-888
    • Suzuki, I.1    Yamashita, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.