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Volumn 20, Issue 4, 2010, Pages 335-360

Separator-based data reduction for signed graph balancing

Author keywords

Algorithm engineering; Exact algorithm; Financial network; Gene regulatory network; Parameterized algorithmics; Preprocessing

Indexed keywords

ALGORITHM ENGINEERING; EXACT ALGORITHMS; FINANCIAL NETWORKS; PARAMETERIZED; PREPROCESSING;

EID: 78149285533     PISSN: 13826905     EISSN: 15732886     Source Type: Journal    
DOI: 10.1007/s10878-009-9212-2     Document Type: Article
Times cited : (46)

References (57)
  • 2
    • 36849044049 scopus 로고    scopus 로고
    • Crown structures for vertex cover kernelization
    • 1148.68035 10.1007/s00224-007-1328-0 2352539
    • FN Abu-Khzam MR Fellows MA Langston WH Suters 2007 Crown structures for vertex cover kernelization Theory Comput Syst 41 3 411 430 1148.68035 10.1007/s00224-007-1328-0 2352539
    • (2007) Theory Comput Syst , vol.41 , Issue.3 , pp. 411-430
    • Abu-Khzam, F.N.1    Fellows, M.R.2    Langston, M.A.3    Suters, W.H.4
  • 4
    • 33750998761 scopus 로고    scopus 로고
    • Social balance on networks: The dynamics of friendship and enmity
    • 1130.91041 10.1016/j.physd.2006.09.028 2301516
    • T Antal PL Krapivsky S Redner 2006 Social balance on networks: The dynamics of friendship and enmity Physica D: Nonlinear Phenom 224 1-2 130 136 1130.91041 10.1016/j.physd.2006.09.028 2301516
    • (2006) Physica D: Nonlinear Phenom , vol.224 , Issue.12 , pp. 130-136
    • Antal, T.1    Krapivsky, P.L.2    Redner, S.3
  • 5
    • 34247645910 scopus 로고    scopus 로고
    • The multi-multiway cut problem
    • 1115.68171 10.1016/j.tcs.2007.02.026 2323384
    • A Avidor M Langberg 2007 The multi-multiway cut problem Theor Comput Sci 377 1-3 35 42 1115.68171 10.1016/j.tcs.2007.02.026 2323384
    • (2007) Theor Comput Sci , vol.377 , Issue.13 , pp. 35-42
    • Avidor, A.1    Langberg, M.2
  • 7
    • 0001051761 scopus 로고
    • On the computational complexity of Ising spin glass models
    • 10.1088/0305-4470/15/10/028 684591
    • F Barahona 1982 On the computational complexity of Ising spin glass models J Phys A: Math Gen 15 10 3241 3253 10.1088/0305-4470/15/10/028 684591
    • (1982) J Phys A: Math Gen , vol.15 , Issue.10 , pp. 3241-3253
    • Barahona, F.1
  • 8
    • 0024718942 scopus 로고
    • Facets of the balanced (acyclic) induced subgraph polytope
    • 0675.90071 10.1007/BF01589094
    • F Barahona A Ridha Mahjoub 1989 Facets of the balanced (acyclic) induced subgraph polytope Math Program 45 1-3 21 33 0675.90071 10.1007/BF01589094
    • (1989) Math Program , vol.45 , Issue.13 , pp. 21-33
    • Barahona, F.1    Ridha Mahjoub, A.2
  • 9
    • 0141680581 scopus 로고    scopus 로고
    • Short rational generating functions for lattice point problems
    • 1017.05008 10.1090/S0894-0347-03-00428-4 1992831
    • AI Barvinok K Woods 2003 Short rational generating functions for lattice point problems J Am Math Soc 16 4 957 979 1017.05008 10.1090/S0894-0347-03- 00428-4 1992831
    • (2003) J Am Math Soc , vol.16 , Issue.4 , pp. 957-979
    • Barvinok, A.I.1    Woods, K.2
  • 10
    • 43249086767 scopus 로고    scopus 로고
    • Combinatorial optimization on graphs of bounded treewidth
    • 10.1093/comjnl/bxm037 2385750
    • HL Bodlaender AMCA Koster 2008 Combinatorial optimization on graphs of bounded treewidth Comput J 51 255 269 10.1093/comjnl/bxm037 2385750
    • (2008) Comput J , vol.51 , pp. 255-269
    • Bodlaender, H.L.1    Amca, K.2
  • 11
    • 9844270064 scopus 로고    scopus 로고
    • Statistical analysis of financial networks
    • 05374112 10.1016/j.csda.2004.02.004 2133596
    • V Boginski S Butenko PM Pardalos 2005 Statistical analysis of financial networks Comput Stat Data Anal 48 2 431 443 05374112 10.1016/j.csda.2004.02.004 2133596
    • (2005) Comput Stat Data Anal , vol.48 , Issue.2 , pp. 431-443
    • Boginski, V.1    Butenko, S.2    Pardalos, P.M.3
  • 12
    • 33644685387 scopus 로고    scopus 로고
    • Mining market data: A network approach
    • 1113.90079 10.1016/j.cor.2005.01.027
    • V Boginski S Butenko PM Pardalos 2006 Mining market data: A network approach Comput Oper Res 33 11 3171 3184 1113.90079 10.1016/j.cor.2005.01.027
    • (2006) Comput Oper Res , vol.33 , Issue.11 , pp. 3171-3184
    • Boginski, V.1    Butenko, S.2    Pardalos, P.M.3
  • 13
    • 0042456012 scopus 로고
    • The max-cut problem and quadratic 0-1 optimization; Polyhedral aspects, relaxations and bounds
    • 0741.90077 10.1007/BF02115753 1140978
    • E Boros PL Hammer 1991 The max-cut problem and quadratic 0-1 optimization; polyhedral aspects, relaxations and bounds Ann Oper Res 33 3 151 180 0741.90077 10.1007/BF02115753 1140978
    • (1991) Ann Oper Res , vol.33 , Issue.3 , pp. 151-180
    • Boros, E.1    Hammer, P.L.2
  • 14
    • 0013072266 scopus 로고    scopus 로고
    • Vertex cover: Further observations and further improvements
    • 1017.68087 10.1006/jagm.2001.1186 1869253
    • J Chen IA Kanj W Jia 2001 Vertex cover: Further observations and further improvements J Algorithms 41 2 280 301 1017.68087 10.1006/jagm.2001.1186 1869253
    • (2001) J Algorithms , vol.41 , Issue.2 , pp. 280-301
    • Chen, J.1    Kanj, I.A.2    Jia, W.3
  • 17
    • 34447125063 scopus 로고    scopus 로고
    • Algorithmic and complexity results for decompositions of biological networks into monotone subsystems
    • 10.1016/j.biosystems.2006.08.001
    • B DasGupta GA Enciso ED Sontag Y Zhang 2007 Algorithmic and complexity results for decompositions of biological networks into monotone subsystems Biosystems 90 1 161 178 10.1016/j.biosystems.2006.08.001
    • (2007) Biosystems , vol.90 , Issue.1 , pp. 161-178
    • Dasgupta, B.1    Enciso, G.A.2    Sontag, E.D.3    Zhang, Y.4
  • 20
    • 33645462347 scopus 로고    scopus 로고
    • Modeling methanogenesis with a genome-scale metabolic reconstruction of Methanosarcina barkeri
    • 10.1038/msb4100046 .0004
    • AM Feist JCM Scholten B∅ Palsson FJ Brockman T Ideker 2006 Modeling methanogenesis with a genome-scale metabolic reconstruction of Methanosarcina barkeri Mol Syst Biol 2 2006 10.1038/msb4100046.0004
    • (2006) Mol Syst Biol , vol.2 , pp. 2006
    • Feist, A.M.1    Scholten, J.C.M.2    Palsson, B.3    Brockman, F.J.4    Ideker, T.5
  • 23
    • 0033735089 scopus 로고    scopus 로고
    • Path-based depth-first search for strong and biconnected components
    • 10.1016/S0020-0190(00)00051-X 1761551
    • HN Gabow 2000 Path-based depth-first search for strong and biconnected components Inf Process Lett 74 3-4 107 114 10.1016/S0020-0190(00)00051-X 1761551
    • (2000) Inf Process Lett , vol.74 , Issue.34 , pp. 107-114
    • Gabow, H.N.1
  • 24
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • 0885.68088 10.1145/227683.227684 1412228
    • MX Goemans DP Williamson 1995 Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming J ACM 42 6 1115 1145 0885.68088 10.1145/227683.227684 1412228
    • (1995) J ACM , vol.42 , Issue.6 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 25
    • 0019627062 scopus 로고
    • Weakly bipartite graphs and the max-cut problem
    • 0494.90078 10.1016/0167-6377(81)90020-1 643056
    • M Grötschel WR Pulleyblank 1981 Weakly bipartite graphs and the max-cut problem Oper Res Lett 1 1 23 27 0494.90078 10.1016/0167-6377(81)90020-1 643056
    • (1981) Oper Res Lett , vol.1 , Issue.1 , pp. 23-27
    • Grötschel, M.1    Pulleyblank, W.R.2
  • 26
    • 37149054237 scopus 로고    scopus 로고
    • Invitation to data reduction and problem kernelization
    • 10.1145/1233481.1233493
    • J Guo R Niedermeier 2007 Invitation to data reduction and problem kernelization ACM SIGACT News 38 1 31 45 10.1145/1233481.1233493
    • (2007) ACM SIGACT News , vol.38 , Issue.1 , pp. 31-45
    • Guo, J.1    Niedermeier, R.2
  • 28
    • 33750457677 scopus 로고    scopus 로고
    • Compression-based fixed-parameter algorithms for feedback vertex set and edge bipartization
    • 1119.68134 10.1016/j.jcss.2006.02.001
    • J Guo J Gramm F Hüffner R Niedermeier S Wernicke 2006 Compression-based fixed-parameter algorithms for feedback vertex set and edge bipartization J Comput Syst Sci 72 8 1386 1396 1119.68134 10.1016/j.jcss.2006. 02.001
    • (2006) J Comput Syst Sci , vol.72 , Issue.8 , pp. 1386-1396
    • Guo, J.1    Gramm, J.2    Hüffner, F.3    Niedermeier, R.4    Wernicke, S.5
  • 31
    • 0000989134 scopus 로고
    • On the notion of balance of a signed graph
    • 10.1307/mmj/1028989917 67468
    • F Harary 1953 On the notion of balance of a signed graph Michigan Math J 2 2 143 146 10.1307/mmj/1028989917 67468
    • (1953) Michigan Math J , vol.2 , Issue.2 , pp. 143-146
    • Harary, F.1
  • 32
    • 85053486431 scopus 로고
    • On the measurement of structural balance
    • 10.1002/bs.3830040405
    • F Harary 1959 On the measurement of structural balance Behav Sci 4 4 316 323 10.1002/bs.3830040405
    • (1959) Behav Sci , vol.4 , Issue.4 , pp. 316-323
    • Harary, F.1
  • 33
    • 0344193508 scopus 로고    scopus 로고
    • Signed graphs for portfolio analysis in risk management
    • 1065.91025 10.1093/imaman/13.3.201
    • F Harary MH Lim DC Wunsch 2002 Signed graphs for portfolio analysis in risk management IMA J Manag Math 13 3 201 210 1065.91025 10.1093/imaman/13.3.201
    • (2002) IMA J Manag Math , vol.13 , Issue.3 , pp. 201-210
    • Harary, F.1    Lim, M.H.2    Wunsch, D.C.3
  • 34
    • 0002489322 scopus 로고    scopus 로고
    • Computing vertex connectivity: New bounds from old techniques
    • 10.1006/jagm.1999.1055 1734800
    • MR Henzinger S Rao HN Gabow 2000 Computing vertex connectivity: New bounds from old techniques J Algorithms 43 2 222 250 10.1006/jagm.1999.1055 1734800
    • (2000) J Algorithms , vol.43 , Issue.2 , pp. 222-250
    • Henzinger, M.R.1    Rao, S.2    Gabow, H.N.3
  • 35
    • 45449086580 scopus 로고    scopus 로고
    • Branch and tree decomposition techniques for discrete optimization
    • tutorials in operations research, INFORMS
    • Hicks IV, Koster AMCA, Kolotoǧlu E (2005) Branch and tree decomposition techniques for discrete optimization. In: TutORials 2005, tutorials in operations research, INFORMS, pp 1-29
    • (2005) TutORials 2005 , pp. 1-29
    • Hicks, I.V.1    Amca, K.2    Kolotoǧlu, E.3
  • 36
    • 0001243769 scopus 로고
    • Dividing a graph into triconnected components
    • 10.1137/0202012 327391
    • JE Hopcroft RE Tarjan 1973 Dividing a graph into triconnected components SIAM J Comput 2 3 135 158 10.1137/0202012 327391
    • (1973) SIAM J Comput , vol.2 , Issue.3 , pp. 135-158
    • Hopcroft, J.E.1    Tarjan, R.E.2
  • 37
    • 24944512986 scopus 로고    scopus 로고
    • Algorithm engineering for optimal graph bipartization
    • Springer Berlin. 10.1007/11427186-22 Extended version to appear in J Graph Algorithms Appl
    • Hüffner F (2005) Algorithm engineering for optimal graph bipartization. In: Proceedings of the 4th international workshop on experimental and efficient algorithms (WEA '05). LNCS, vol 3503. Springer, Berlin, pp 240-252. Extended version to appear in J Graph Algorithms Appl
    • (2005) Proceedings of the 4th International Workshop on Experimental and Efficient Algorithms (WEA '05). LNCS , vol.3503 , pp. 240-252
    • Hüffner, F.1
  • 46
    • 33745463739 scopus 로고    scopus 로고
    • A comprehensive map of the toll-like receptor signaling network
    • 10.1038/msb4100057
    • K Oda H Kitano 2006 A comprehensive map of the toll-like receptor signaling network Mol Syst Biol 2 2006.0015 10.1038/msb4100057
    • (2006) Mol Syst Biol , vol.2 , pp. 20060015
    • Oda, K.1    Kitano, H.2
  • 48
    • 0026366408 scopus 로고
    • Optimization, approximation, and complexity classes
    • 0765.68036 10.1016/0022-0000(91)90023-X 1135471
    • CH Papadimitriou M Yannakakis 1991 Optimization, approximation, and complexity classes J Comput Syst Sci 43 3 425 440 0765.68036 10.1016/0022-0000(91)90023-X 1135471
    • (1991) J Comput Syst Sci , vol.43 , Issue.3 , pp. 425-440
    • Papadimitriou, C.H.1    Yannakakis, M.2
  • 51
    • 2042441126 scopus 로고    scopus 로고
    • Finding odd cycle transversals
    • 1052.05061 10.1016/j.orl.2003.10.009 2057781
    • B Reed K Smith A Vetta 2004 Finding odd cycle transversals Oper Res Lett 32 4 299 301 1052.05061 10.1016/j.orl.2003.10.009 2057781
    • (2004) Oper Res Lett , vol.32 , Issue.4 , pp. 299-301
    • Reed, B.1    Smith, K.2    Vetta, A.3
  • 53
    • 0031607015 scopus 로고    scopus 로고
    • Coherence as constraint satisfaction
    • 10.1207/s15516709cog2201-1
    • P Thagard K Verbeurgt 1998 Coherence as constraint satisfaction Cogn Sci 22 1 1 24 10.1207/s15516709cog2201-1
    • (1998) Cogn Sci , vol.22 , Issue.1 , pp. 1-24
    • Thagard, P.1    Verbeurgt, K.2
  • 54
    • 41349115252 scopus 로고    scopus 로고
    • Random networks with tunable degree distribution and clustering
    • 10.1103/PhysRevE.70.056115
    • E Volz 2004 Random networks with tunable degree distribution and clustering Phys Rev E 70 5 056115 10.1103/PhysRevE.70.056115
    • (2004) Phys Rev e , vol.70 , Issue.5 , pp. 056115
    • Volz, E.1
  • 56
    • 0000603383 scopus 로고
    • Edge-deletion problems
    • 0468.05043 10.1137/0210021 615220
    • M Yannakakis 1981 Edge-deletion problems SIAM J Comput 10 2 297 309 0468.05043 10.1137/0210021 615220
    • (1981) SIAM J Comput , vol.10 , Issue.2 , pp. 297-309
    • Yannakakis, M.1


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