메뉴 건너뛰기




Volumn 38, Issue 6, 2010, Pages 567-570

Integrality gap of the hypergraphic relaxation of Steiner trees: A short proof of a 1.55 upper bound

Author keywords

Hypergraph; Integrality gap; Randomized algorithm; Steiner tree

Indexed keywords

HYPERGRAPH; INTEGRALITY GAPS; LINEAR PROGRAMMING RELAXATION; RANDOMIZED ALGORITHM; STEINER TREE PROBLEM; STEINER TREES; UPPER BOUND;

EID: 77958111497     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.orl.2010.09.004     Document Type: Article
Times cited : (9)

References (8)
  • 1
    • 77954711587 scopus 로고    scopus 로고
    • An improved LP-based approximation for Steiner tree
    • J. Byrka, F. Grandoni, T. Rothvoß, L. Sanit, An improved LP-based approximation for Steiner tree, in: Proc. 42nd STOC, 2010, pp. 583592.
    • (2010) Proc. 42nd STOC , pp. 583-592
    • J. Byrka1
  • 2
    • 77958084807 scopus 로고    scopus 로고
    • David Pritchard, Hypergraphic LP relaxations for Steiner trees
    • Full version at: arXiv:0910.0281
    • Deeparnab Chakrabarty, Jochen Knemann, David Pritchard, Hypergraphic LP relaxations for Steiner trees, in: Proc. 14th IPCO, 2010, pp. 383396. Full version at: arXiv:0910.0281.
    • (2010) Proc. 14th IPCO , pp. 383-396
    • D. Chakrabarty1
  • 3
    • 27744567233 scopus 로고
    • Matroids and the greedy algorithm
    • J. Edmonds Matroids and the greedy algorithm Math. Program. 1 1971 127 136
    • (1971) Math. Program. , vol.1 , pp. 127-136
    • Edmonds, J.1
  • 4
    • 0002933042 scopus 로고    scopus 로고
    • Approximation algorithms for the Steiner tree problem in graphs
    • C. Grpl, S. Hougardy, T. Nierhoff, and H.J. Prmel Approximation algorithms for the Steiner tree problem in graphs X. Cheng, D.Z. Du, Steiner Trees in Industries 2001 Kluwer Academic Publishers Norvell, Massachusetts 235 279
    • (2001) Steiner Trees in Industries , pp. 235-279
    • Grpl, C.1    Hougardy, S.2    Nierhoff, T.3    Prmel, H.J.4
  • 5
    • 0037211669 scopus 로고    scopus 로고
    • On Steiner trees and minimum spanning trees in hypergraphs
    • Tobias Polzin, and Siavash Vahdati Daneshmand On Steiner trees and minimum spanning trees in hypergraphs Oper. Res. Lett. 31 1 2003 12 20
    • (2003) Oper. Res. Lett. , vol.31 , Issue.1 , pp. 12-20
    • Polzin, T.1    Vahdati Daneshmand, S.2
  • 6
    • 33644608040 scopus 로고    scopus 로고
    • Tighter bounds for graph Steiner tree approximation
    • G. Robins, and A. Zelikovsky Tighter bounds for graph Steiner tree approximation SIAM J. Discrete Math. 19 1 2005 122 134 Preliminary version appeared in Proc. 11th SODA, 2000, pp. 770779
    • (2005) SIAM J. Discrete Math. , vol.19 , Issue.1 , pp. 122-134
    • Robins, G.1    Zelikovsky, A.2
  • 8
    • 77958092455 scopus 로고    scopus 로고
    • A new exact algorithm for rectilinear Steiner trees
    • D.M. Warme A new exact algorithm for rectilinear Steiner trees P.M. Pardalos, D.-Z. Du, Network Design: Connectivity and Facilities Location 1997 American Mathematical Society 57 395 Result therein attributed to M. Queyranne
    • (1997) Network Design: Connectivity and Facilities Location , pp. 57-395
    • Warme, D.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.