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Volumn 417, Issue , 2012, Pages 12-22

Improved approximability and non-approximability results for graph diameter decreasing problems

Author keywords

Approximation algorithms; Diameter; Edge addition; Graphs

Indexed keywords

APPROXIMABILITY; APPROXIMATION RATIOS; DIAMETER; EDGE ADDITION; GRAPH DIAMETER; GRAPH G; GRAPHS; MULTIPLICATIVE FACTORS; NON-APPROXIMABILITY; NP-HARD; POSITIVE INTEGERS;

EID: 84855942465     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2011.05.014     Document Type: Conference Paper
Times cited : (59)

References (25)
  • 1
    • 0042689506 scopus 로고    scopus 로고
    • Decreasing the diameter of bounded degree graphs
    • Noga Alon, Andrs Gyrfs, and Mikls Ruszink Decreasing the diameter of bounded degree graphs Journal of Graph Theory 35 3 2000 161 172
    • (2000) Journal of Graph Theory , vol.35 , Issue.3 , pp. 161-172
    • Alon, N.1    Gyrfs, A.2    Ruszink, M.3
  • 5
    • 33646523604 scopus 로고    scopus 로고
    • Mixed covering of trees and the augmentation problem with odd diameter constraints
    • Victor Chepoi, Bertrand Estellon, Karim Nouioua, and Yann Vaxs Mixed covering of trees and the augmentation problem with odd diameter constraints Algorithmica 45 2 2006 209 226
    • (2006) Algorithmica , vol.45 , Issue.2 , pp. 209-226
    • Chepoi, V.1    Estellon, B.2    Nouioua, K.3    Vaxs, Y.4
  • 6
    • 0141922687 scopus 로고    scopus 로고
    • Augmenting trees to meet biconnectivity and diameter constraints
    • Victor Chepoi, and Yann Vaxs Augmenting trees to meet biconnectivity and diameter constraints Algorithmica 33 2 2002 243 262
    • (2002) Algorithmica , vol.33 , Issue.2 , pp. 243-262
    • Chepoi, V.1    Vaxs, Y.2
  • 7
    • 0037514358 scopus 로고
    • Diameters of graph: Old problems and new results
    • F.R.K. Chung Diameters of graph: old problems and new results Congressus Numerantium 60 1987 295 317
    • (1987) Congressus Numerantium , vol.60 , pp. 295-317
    • Chung, F.R.K.1
  • 8
  • 11
    • 0040689686 scopus 로고    scopus 로고
    • How to decrease the diameter of triangle-free graphs
    • Paul Erds, Andrs Gyrfs, and Mikls Ruszink How to decrease the diameter of triangle-free graphs Combinatorica 18 4 1998 493 501
    • (1998) Combinatorica , vol.18 , Issue.4 , pp. 493-501
    • Erds, P.1    Gyrfs, A.2    Ruszink, M.3
  • 13
    • 0021938963 scopus 로고
    • Clustering to minimize the maximum intercluster distance
    • Teofilo F. Gonzalez Clustering to minimize the maximum intercluster distance Theoretical Computer Science 38 1985 293 306
    • (1985) Theoretical Computer Science , vol.38 , pp. 293-306
    • Gonzalez, T.F.1
  • 14
    • 0043240115 scopus 로고    scopus 로고
    • Decreasing the diameter of cycles
    • Elena Grigorescu Decreasing the diameter of cycles Journal of Graph Theory 43 4 2003 299 303
    • (2003) Journal of Graph Theory , vol.43 , Issue.4 , pp. 299-303
    • Grigorescu, E.1
  • 15
    • 0022753024 scopus 로고
    • A unified approach to approximation algorithms for bottleneck problems
    • Dorit S. Hochbaum, and David B. Shmoys A unified approach to approximation algorithms for bottleneck problems Journal of the ACM 33 3 1986 533 550
    • (1986) Journal of the ACM , vol.33 , Issue.3 , pp. 533-550
    • Hochbaum, D.S.1    Shmoys, D.B.2
  • 16
    • 33748704465 scopus 로고    scopus 로고
    • Augmenting forests to meet odd diameter requirements
    • DOI 10.1016/j.disopt.2005.10.006, PII S157252860600017X
    • Toshimasa Ishii, Shigeyuki Yamamoto, and Hiroshi Nagamochi Augmenting forests to meet odd diameter requirements Discrete Optimization 3 2 2006 154 164 (Pubitemid 44389540)
    • (2006) Discrete Optimization , vol.3 , Issue.2 , pp. 154-164
    • Ishii, T.1    Yamamoto, S.2    Nagamochi, H.3
  • 17
    • 0016349356 scopus 로고
    • Approximation algorithms for combinatorial problems
    • David S. Johnson Approximation algorithms for combinatorial problems Journal of Computer and System Science 9 3 1974 256 278
    • (1974) Journal of Computer and System Science , vol.9 , Issue.3 , pp. 256-278
    • Johnson, D.S.1
  • 18
    • 36849000250 scopus 로고    scopus 로고
    • Bounded-diameter minimum-cost graph problems
    • Sanjiv Kapoor, and Mohammad Sarwat Bounded-diameter minimum-cost graph problems Theory of Computing Systems 41 4 2007 779 794
    • (2007) Theory of Computing Systems , vol.41 , Issue.4 , pp. 779-794
    • Kapoor, S.1    Sarwat, M.2
  • 19
    • 0018683792 scopus 로고
    • Algorithmic approach to network location problems - 1. The p-centers
    • O. Kariv, and S.L. Hakimi An algorithmic approach to network location problems SIAM Journal on Applied Mathematics 37 3 1979 513 538 (Pubitemid 10432631)
    • (1979) SIAM Journal on Applied Mathematics , vol.37 , Issue.3 , pp. 513-538
    • Kariv, O.1    Hakimi, S.L.2
  • 20
    • 38249013164 scopus 로고
    • On the minimum-cardinality-bounded-diameter and the bounded-cardinality- minimum-diameter edge addition problem
    • Chung-Lun Li, S. Thomas McCormick, and David Simchi-Levi On the minimum-cardinality-bounded-diameter and the bounded-cardinality-minimum- diameter edge addition problem Operations Research Letters 11 1992 303 308
    • (1992) Operations Research Letters , vol.11 , pp. 303-308
    • Li, C.-L.1    McCormick, S.T.2    Simchi-Levi, D.3
  • 22
    • 4544347793 scopus 로고    scopus 로고
    • On the computational complexity of centers locating in a graph
    • Jan Plesnk, On the computational complexity of centers locating in a graph. Aplikace Mat., 25.
    • Aplikace Mat. , pp. 25
    • Plesnk, J.1
  • 23
    • 0019536824 scopus 로고
    • The complexity of designing a network with minimum diameter
    • Jan Plesnk The complexity of designing a network with minimum diameter Networks 11 1 1981 77 85
    • (1981) Networks , vol.11 , Issue.1 , pp. 77-85
    • Plesnk, J.1
  • 24
    • 0030714232 scopus 로고    scopus 로고
    • A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP
    • Ran Raz, Shmuel Safra, A sub-constant error-probability low-degree test, and a sub-constant error-probability PCP characterization of NP, in: Proceedings of the 29th Annual ACM Symposium on Theory of Computing, STOC, 1997, pp. 475484.
    • (1997) Proceedings of the 29th Annual ACM Symposium on Theory of Computing, STOC , pp. 475-484
    • Raz, R.1    Safra, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.