메뉴 건너뛰기




Volumn , Issue , 2008, Pages 446-454

A nearly linear time algorithm for the half integral disjoint paths packing

Author keywords

[No Author keywords available]

Indexed keywords

GRAPH THEORY; PORT TERMINALS;

EID: 58449096775     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (27)

References (43)
  • 1
    • 0002003951 scopus 로고
    • Linear time algorithms for NP-hard problems restricted to partial ktrees
    • S. Arnborg and A. Proskurowski, Linear time algorithms for NP-hard problems restricted to partial ktrees, Discrete Appl. Math. 23 (1989), 11-24.
    • (1989) Discrete Appl. Math , vol.23 , pp. 11-24
    • Arnborg, S.1    Proskurowski, A.2
  • 2
    • 58449083062 scopus 로고    scopus 로고
    • Tree-width of graphs with no 3 × 3 grid minor
    • preprint
    • E. Birmelé, J.A. Bondy and B. A. Reed, Tree-width of graphs with no 3 × 3 grid minor, preprint.
    • Birmelé, E.1    Bondy, J.A.2    Reed, B.A.3
  • 3
    • 0001294529 scopus 로고    scopus 로고
    • A linear-time algorithm for finding tree-decomposition of small treewidth
    • H. L. Bodlaender, A linear-time algorithm for finding tree-decomposition of small treewidth, SIAM J. Cornput. 25 (1996), 1305-1317.
    • (1996) SIAM J. Cornput , vol.25 , pp. 1305-1317
    • Bodlaender, H.L.1
  • 8
    • 20744453821 scopus 로고    scopus 로고
    • Graphs excluding a fixed minor have grids as large as tree-width, with combinatorial and algorithmic applications through bidimentionality
    • SODA
    • E. D. Demaine and M. Hajiaghayi, Graphs excluding a fixed minor have grids as large as tree-width, with combinatorial and algorithmic applications through bidimentionality, in Proceeding of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA, 2005), 2005, 682-689.
    • (2005) Proceeding of the 16th Annual ACM-SIAM Symposium on Discrete Algorithms , pp. 682-689
    • Demaine, E.D.1    Hajiaghayi, M.2
  • 9
    • 33745188001 scopus 로고    scopus 로고
    • Subexponential parameterized algorithms on bounded-genus graphs and H-minor-free graphs
    • E. D. Demaine, F. Fomin, M. Hajiaghayi, and D. Thilikos, Subexponential parameterized algorithms on bounded-genus graphs and H-minor-free graphs, J. ACM 52 (2005), 1-29.
    • (2005) J. ACM , vol.52 , pp. 1-29
    • Demaine, E.D.1    Fomin, F.2    Hajiaghayi, M.3    Thilikos, D.4
  • 10
    • 24144467806 scopus 로고    scopus 로고
    • Fast algorithms for hard graph problems: Bidimensionality, minors and local tree-width
    • Proc. 12th Internat. Symp. on Graph Drawing, Springer
    • E. D. Demaine and M. Hajiaghayi, Fast algorithms for hard graph problems: Bidimensionality, minors and local tree-width, Proc. 12th Internat. Symp. on Graph Drawing, Lecture Notes in Computer Science 3383, Springer, 2004, pp. 517-533.
    • (2004) Lecture Notes in Computer Science , vol.3383 , pp. 517-533
    • Demaine, E.D.1    Hajiaghayi, M.2
  • 13
    • 0009734567 scopus 로고
    • Packing paths, cuts and circuits - a survey
    • B. Korte, L. Lovász, H.J. Promel and A. Schrijver. Eds. Berlin: Springer-Verlag
    • A. Frank, Packing paths, cuts and circuits - a survey, in Paths, Flows and VLSI-Layout B. Korte, L. Lovász, H.J. Promel and A. Schrijver. Eds. Berlin: Springer-Verlag 1990, 49-100.
    • (1990) Paths, Flows and VLSI-Layout , pp. 49-100
    • Frank, A.1
  • 15
    • 84866516599 scopus 로고
    • Primal-dual approximation algorithms for integral flow and multicut in trees with applications to matching and set cover
    • N. Garg, V. Varzirani and M. Yannakakis, Primal-dual approximation algorithms for integral flow and multicut in trees with applications to matching and set cover, Proc. ICALP 1993, 64-75.
    • (1993) Proc. ICALP , pp. 64-75
    • Garg, N.1    Varzirani, V.2    Yannakakis, M.3
  • 16
    • 15444367043 scopus 로고
    • A linear time algorithm for finding a sparse k-connected spanning subgraph of a k-connected graph
    • T. Ibaraki and H. Nagamichi, A linear time algorithm for finding a sparse k-connected spanning subgraph of a k-connected graph, Algorithmica 7, (1992), 583-596.
    • (1992) Algorithmica , vol.7 , pp. 583-596
    • Ibaraki, T.1    Nagamichi, H.2
  • 17
    • 45749154844 scopus 로고
    • The Many Faces of Polynomial Time
    • D. Johnson, The Many Faces of Polynomial Time, J. Algorithms, 8, (1987), 285-303.
    • (1987) J. Algorithms , vol.8 , pp. 285-303
    • Johnson, D.1
  • 18
    • 0002884211 scopus 로고
    • On the computational complexity of combinatorial problems
    • R. M. Karp, On the computational complexity of combinatorial problems, Networks 5 (1975), 45-48.
    • (1975) Networks , vol.5 , pp. 45-48
    • Karp, R.M.1
  • 19
    • 33748108623 scopus 로고    scopus 로고
    • Approximating chromatic number and list-chromatic number of minorclosed and odd minor-closed classes of graphs
    • K. Kawarabayashi and B. Mohar, Approximating chromatic number and list-chromatic number of minorclosed and odd minor-closed classes of graphs, Proc. 38th ACM Symposium on Theory of Computing (STOC'06), (2006), 401-416.
    • (2006) Proc. 38th ACM Symposium on Theory of Computing (STOC'06) , pp. 401-416
    • Kawarabayashi, K.1    Mohar, B.2
  • 20
    • 70349095110 scopus 로고    scopus 로고
    • Fast recognition and optimization algorithms for minor-closed graph families
    • preprint
    • K. Kawarabayashi, Z. Li and B. Reed, Fast recognition and optimization algorithms for minor-closed graph families, preprint.
    • Kawarabayashi, K.1    Li, Z.2    Reed, B.3
  • 21
  • 26
    • 0040467394 scopus 로고
    • The equivalence of theorem proving and the interconnection problem
    • J.F. Lynch, The equivalence of theorem proving and the interconnection problem, ACM SIGDA, Newsletter, 5, (1975), 31-65.
    • (1975) ACM SIGDA, Newsletter , vol.5 , pp. 31-65
    • Lynch, J.F.1
  • 27
    • 0001830102 scopus 로고
    • On the complexity of the disjoint paths problem
    • M. Middendorf and F. Pfeiffer, On the complexity of the disjoint paths problem, Combinatorica, 13 (1993), 97-107.
    • (1993) Combinatorica , vol.13 , pp. 97-107
    • Middendorf, M.1    Pfeiffer, F.2
  • 30
    • 0003164676 scopus 로고    scopus 로고
    • Tree width and tangles: A new connectivity measure and some applications
    • Surveys in Combinatorics, 1997 London, Cambridge Univ. Press, Cambridge
    • B. Reed, Tree width and tangles: a new connectivity measure and some applications, in "Surveys in Combinatorics, 1997 (London)", London Math. Soc. Lecture Note Ser. 241, Cambridge Univ. Press, Cambridge, 1997, pp. 87-162.
    • (1997) London Math. Soc. Lecture Note Ser , vol.241 , pp. 87-162
    • Reed, B.1
  • 31
    • 0038929410 scopus 로고    scopus 로고
    • Mangoes and blueberries
    • B. Reed, Mangoes and blueberries, Combinatorica 19 (1999), 267-296.
    • (1999) Combinatorica , vol.19 , pp. 267-296
    • Reed, B.1
  • 32
    • 35449006232 scopus 로고
    • Rooted Routing in the Plane
    • B. Reed, Rooted Routing in the Plane, Discrete Applied Mathematics 57, 1995, 213-227.
    • (1995) Discrete Applied Mathematics , vol.57 , pp. 213-227
    • Reed, B.1
  • 33
    • 58449112487 scopus 로고    scopus 로고
    • B. Reed, N. Robertson, A. Schrijver and P. D. Seymour, Finding disjoint trees in planar graphs in linear time. Graph structure theory (Seattle, WA, 1991), 295-301, Contemp. Math., 147, Amer. Math. Soc., Providenc, RI, 1993.
    • B. Reed, N. Robertson, A. Schrijver and P. D. Seymour, Finding disjoint trees in planar graphs in linear time. Graph structure theory (Seattle, WA, 1991), 295-301, Contemp. Math., 147, Amer. Math. Soc., Providenc, RI, 1993.
  • 34
    • 77951698895 scopus 로고    scopus 로고
    • Rooted Routing via Graph Minors
    • to appear
    • B. Reed, Rooted Routing via Graph Minors, to appear.
    • Reed, B.1
  • 35
  • 36
    • 0001227241 scopus 로고
    • Graph minors. X. Obstructions to tree-decomposition
    • N. Robertson and P. D. Seymour, Graph minors. X. Obstructions to tree-decomposition, J. Combin. Theory Ser. B 52 (1991) 153-190.
    • (1991) J. Combin. Theory Ser. B , vol.52 , pp. 153-190
    • Robertson, N.1    Seymour, P.D.2
  • 37
    • 0002848005 scopus 로고
    • Graph minors. XIII. The disjoint paths problem
    • N. Robertson and P. D. Seymour, Graph minors. XIII. The disjoint paths problem, J. Combin. Theory Ser. B 63 (1995), 65-110.
    • (1995) J. Combin. Theory Ser. B , vol.63 , pp. 65-110
    • Robertson, N.1    Seymour, P.D.2
  • 38
    • 0141538200 scopus 로고    scopus 로고
    • Graph minors. XVI. Excluding a non-planar graph
    • N. Robertson and P. D. Seymour, Graph minors. XVI. Excluding a non-planar graph, J. Combin. Theory Ser. B 89 (2003), 43-76.
    • (2003) J. Combin. Theory Ser. B , vol.89 , pp. 43-76
    • Robertson, N.1    Seymour, P.D.2
  • 39
    • 0000751283 scopus 로고
    • An outline of a disjoint paths algorithm
    • B. Korte, L. Lovász, H. J. Prömel, and A. Schrijver Eds, Springer-Verlag, Berlin
    • N. Robertson and P. D. Seymour, An outline of a disjoint paths algorithm, in: "Paths, Flows, and VLSI-Layout," B. Korte, L. Lovász, H. J. Prömel, and A. Schrijver (Eds.), Springer-Verlag, Berlin, 1990, pp. 267-292.
    • (1990) Paths, Flows, and VLSI-Layout , pp. 267-292
    • Robertson, N.1    Seymour, P.D.2
  • 42
    • 44949266653 scopus 로고
    • Graph searching and a min-max theorem for tree-width
    • P. Seymour and R. Thomas, Graph searching and a min-max theorem for tree-width, J. Combin. Theory Ser. B 58 (1993), 22-33.
    • (1993) J. Combin. Theory Ser. B , vol.58 , pp. 22-33
    • Seymour, P.1    Thomas, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.