메뉴 건너뛰기




Volumn 15, Issue 2, 2002, Pages 268-282

Graphs with connected medians

Author keywords

Graphs; Local medians; LP duality; Majority rule; Medians

Indexed keywords

BOUNDARY CONDITIONS; CONFORMAL MAPPING; FUNCTIONS; LINEAR PROGRAMMING; NUMBER THEORY; POLYNOMIALS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 0036487484     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S089548019936360X     Document Type: Article
Times cited : (33)

References (30)
  • 1
    • 0011265515 scopus 로고
    • On conditions of coincidence of local and global extrema in optimization problems
    • (in Russian)
    • T. T. Arkhipova and I.V. Sergienko, On conditions of coincidence of local and global extrema in optimization problems, Kibernetika, 1 (1976), pp. 13-15 (in Russian).
    • (1976) Kibernetika , vol.1 , pp. 13-15
    • Arkhipova, T.T.1    Sergienko, I.V.2
  • 2
    • 0011265516 scopus 로고    scopus 로고
    • NP-completeness for non-global local subgraph medians
    • submitted
    • H.-J. Bandelt, NP-completeness for non-global local subgraph medians, Discrete Appl. Math., submitted
    • Discrete Appl. Math.
    • Bandelt, H.-J.1
  • 4
    • 0011363468 scopus 로고    scopus 로고
    • A Helly theorem in weakly modular space
    • H.-J. Bandelt and V. Chepoi, A Helly theorem in weakly modular space, Discrete Math., 126 (1996), pp. 25-39.
    • (1996) Discrete Math. , vol.126 , pp. 25-39
    • Bandelt, H.-J.1    Chepoi, V.2
  • 5
    • 0011267926 scopus 로고
    • Pseudo-median graphs: Decomposition via amalgamation and Cartesian multiplication
    • H.-J. Bandelt and H.M. Mulder, Pseudo-median graphs: Decomposition via amalgamation and Cartesian multiplication, Discrete Math., 94 (1991), pp. 161-180.
    • (1991) Discrete Math. , vol.94 , pp. 161-180
    • Bandelt, H.-J.1    Mulder, H.M.2
  • 6
    • 0011267927 scopus 로고    scopus 로고
    • Weak Cartesian factorization with icosahedra, 5-wheels, and subhyperotachedra as factors
    • submitted
    • H.-J. Bandelt, H.M. Mulder, and V. Soltan, Weak Cartesian factorization with icosahedra, 5-wheels, and subhyperotachedra as factors, J. Graph Theory, submitted.
    • J. Graph Theory
    • Bandelt, H.-J.1    Mulder, H.M.2    Soltan, V.3
  • 8
    • 85009056771 scopus 로고
    • Dismantling absolute retracts of reflexive graphs
    • H.-J. Bandelt and E. Pesch, Dismantling absolute retracts of reflexive graphs, European J. Combin., 10 (1989), pp. 211-220.
    • (1989) European J. Combin. , vol.10 , pp. 211-220
    • Bandelt, H.-J.1    Pesch, E.2
  • 9
    • 0011269430 scopus 로고
    • A fixed cube theorem for median graphs
    • H.-J. Bandelt and M. van de Vel, A fixed cube theorem for median graphs, Discrete Math., 67 (1987), pp. 129-137.
    • (1987) Discrete Math. , vol.67 , pp. 129-137
    • Bandelt, H.-J.1    Van De Vel, M.2
  • 11
    • 0001298415 scopus 로고
    • On the use of ordered sets in problems of comparison and consensus of classifications
    • J.P. Barthélemy, B. Leclerc, and B. Monjardet, On the use of ordered sets in problems of comparison and consensus of classifications, J. Classification, 3 (1986), pp. 187-224.
    • (1986) J. Classification , vol.3 , pp. 187-224
    • Barthélemy, J.P.1    Leclerc, B.2    Monjardet, B.3
  • 12
    • 0000744738 scopus 로고
    • The median procedure in cluster analysis and social choice theory
    • J.P. Barthélemy and B. Monjardet, The median procedure in cluster analysis and social choice theory, Math. Social Sci., 1 (1981), pp. 235-268.
    • (1981) Math. Social Sci. , vol.1 , pp. 235-268
    • Barthélemy, J.P.1    Monjardet, B.2
  • 13
    • 0003720154 scopus 로고    scopus 로고
    • Graph classes: A survey
    • SIAM, Philadelphia
    • A. Brandstädt, V.B. Le, and J.P. Spinrad, Graph Classes: A Survey, SIAM, Philadelphia, 1999.
    • (1999)
    • Brandstädt, A.1    Le, V.B.2    Spinrad, J.P.3
  • 14
    • 0004037559 scopus 로고
    • The geometry of geodesics
    • Academic Press, New York
    • H. Busemann, The Geometry of Geodesics, Academic Press, New York, 1955.
    • (1955)
    • Busemann, H.1
  • 15
    • 0011308642 scopus 로고
    • Separation of two convex sets in convexity structures
    • V. Chepoi, Separation of two convex sets in convexity structures, J. Geom., 50 (1994), pp. 30-51.
    • (1994) J. Geom. , vol.50 , pp. 30-51
    • Chepoi, V.1
  • 16
    • 0011345618 scopus 로고    scopus 로고
    • On distance-preserving and domination elimination orderings
    • V. Chepoi, On distance-preserving and domination elimination orderings, SIAM J. Discrete Math., 11 (1998), pp. 414-436.
    • (1998) SIAM J. Discrete Math. , vol.11 , pp. 414-436
    • Chepoi, V.1
  • 17
    • 0004139889 scopus 로고
    • Linear programming
    • Freeman, New York
    • V. Chvátal, Linear Programming, Freeman, New York, 1983.
    • (1983)
    • Chvátal, V.1
  • 18
    • 0011311849 scopus 로고
    • Medians of pseudo-median graphs
    • (in Russian)
    • F. Dragan and V. Chepoi, Medians of pseudo-median graphs, Oper. Res. Manage. Sci. (Kiev), 35 (1991), pp. 47-56 (in Russian).
    • (1991) Oper. Res. Manage. Sci. (Kiev) , vol.35 , pp. 47-56
    • Dragan, F.1    Chepoi, V.2
  • 19
    • 0011365675 scopus 로고
    • Stable networks and product graphs
    • T. Feder, Stable networks and product graphs, Mem. Amer. Math. Soc., 116 (1995).
    • (1995) Mem. Amer. Math. Soc. , vol.116
    • Feder, T.1
  • 20
    • 84986533517 scopus 로고
    • On graphs with prescribed median I
    • G.R.T. Hendry, On graphs with prescribed median I, J. Graph Theory, 9 (1985), pp. 477-481.
    • (1985) J. Graph Theory , vol.9 , pp. 477-481
    • Hendry, G.R.T.1
  • 21
    • 0011316301 scopus 로고
    • On conditions for the coincidence of local and global extrema in problems of discrete optimization
    • (in Russian)
    • T.T. Lebedeva, I.V. Sergienko, and V. Soltan, On conditions for the coincidence of local and global extrema in problems of discrete optimization, Kibernetika, 5 (1984), pp. 58-65 (in Russian).
    • (1984) Kibernetika , vol.5 , pp. 58-65
    • Lebedeva, T.T.1    Sergienko, I.V.2    Soltan, V.3
  • 22
    • 84987553212 scopus 로고
    • The w-median of a connected strongly chordal graph
    • H.-Y. Lee and G. J. Chang, The w-median of a connected strongly chordal graph, J. Graph Theory, (1994), pp. 673-680.
    • (1994) J. Graph Theory , vol.18 , pp. 673-680
    • Lee, H.-Y.1    Chang, G.J.2
  • 24
    • 0000056364 scopus 로고
    • The median procedure in a formal theory of consensus
    • F.R. McMorris and R.C. Powers, The median procedure in a formal theory of consensus, SIAM J. Discrete Math., 8 (1995), pp. 507-516.
    • (1995) SIAM J. Discrete Math. , vol.8 , pp. 507-516
    • McMorris, F.R.1    Powers, R.C.2
  • 25
    • 0023169727 scopus 로고
    • Distance center and centroid of a median graph
    • J. Nieminen, Distance center and centroid of a median graph, J. Franklin Inst., 323 (1987), pp. 89-94.
    • (1987) J. Franklin Inst. , vol.323 , pp. 89-94
    • Nieminen, J.1
  • 26
    • 0001553193 scopus 로고
    • Medians of arbitrary graphs
    • P.J. Slater, Medians of arbitrary graphs, J. Graph Theory, 4 (1980), pp. 389-392.
    • (1980) J. Graph Theory , vol.4 , pp. 389-392
    • Slater, P.J.1
  • 27
    • 0002173926 scopus 로고
    • The solution of the Weber problem for discrete median metric spaces
    • (in Russian)
    • P. Soltan and V. Chepoi, The solution of the Weber problem for discrete median metric spaces, Trudy Tbilisskogo Mat. Inst., 85 (1987), pp. 52-76 (in Russian).
    • (1987) Trudy Tbilisskogo Mat. Inst. , vol.85 , pp. 52-76
    • Soltan, P.1    Chepoi, V.2
  • 30
    • 38249018455 scopus 로고
    • Local medians in chordal graphs
    • H. Wittenberg, Local medians in chordal graphs, Discrete Appl. Math., 28 (1990), pp. 287-296.
    • (1990) Discrete Appl. Math. , vol.28 , pp. 287-296
    • Wittenberg, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.