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Volumn 265, Issue 1-3, 2003, Pages 297-310

Centers and medians of distance-hereditary graphs

Author keywords

Center; Chordal graph; Diameter; Distance; Distance hereditary graph; Eccentricity; Median; Ptolemaic graph; Radius

Indexed keywords


EID: 84867936259     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(02)00630-1     Document Type: Article
Times cited : (18)

References (42)
  • 4
    • 0000008199 scopus 로고
    • On graphs containing a given graph as center
    • F. Buckley, Z. Miller, P.J. Slater, On graphs containing a given graph as center, J. Graph Theory 5 (1981) 427-434.
    • (1981) J. Graph Theory , vol.5 , pp. 427-434
    • Buckley, F.1    Miller, Z.2    Slater, P.J.3
  • 5
    • 0042915670 scopus 로고
    • Centers ofchordal graphs
    • G.J. Chang, Centers ofchordal graphs, Graph Combin. 7 (1991) 305-313.
    • (1991) Graph Combin , vol.7 , pp. 305-313
    • Chang, G.J.1
  • 7
    • 0022162058 scopus 로고
    • A linear recognition algorithm for cographs
    • D.G. Corneil, Y. Perl, L.K. Stewart, A linear recognition algorithm for cographs, SIAM J. Comput. 14 (1985) 926-934.
    • (1985) SIAM J. Comput. , vol.14 , pp. 926-934
    • Corneil, D.G.1    Perl, Y.2    Stewart, L.K.3
  • 8
    • 0024019980 scopus 로고
    • Distance-hereditary graphs, Steiner trees, and connected domination
    • A. D'Atri, M. Moscarini, Distance-hereditary graphs, Steiner trees, and connected domination, SIAM J. Comput. 17 (1988) 521-538.
    • (1988) SIAM J. Comput. , vol.17 , pp. 521-538
    • D'Atri, A.1    Moscarini, M.2
  • 11
    • 38249022379 scopus 로고
    • On diameters and radii ofbridged graphs
    • M. Farber, On diameters and radii ofbridged graphs, Discrete Math. 73 (1989) 249-260.
    • (1989) Discrete Math , vol.73 , pp. 249-260
    • Farber, M.1
  • 12
    • 1642360480 scopus 로고
    • On local convexity in graphs
    • M. Farber, R.E. Jamison, On local convexity in graphs, Discrete Math. 66 (1987) 231-247.
    • (1987) Discrete Math , vol.66 , pp. 231-247
    • Farber, M.1    Jamison, R.E.2
  • 14
    • 0008994308 scopus 로고
    • The cutting center theorem for trees
    • F. Harary, P. Ostrand, The cutting center theorem for trees, Discrete Math. 1 (1971) 7-18.
    • (1971) Discrete Math , vol.1 , pp. 7-18
    • Harary, F.1    Ostrand, P.2
  • 16
    • 0000681580 scopus 로고
    • A characterization ofdistance-hereditary graphs
    • E. Howorka, A characterization ofdistance-hereditary graphs, Quart. J. Math. Oxford (2) 28 (1977) 417-420.
    • (1977) Quart. J. Math. Oxford , vol.28 , Issue.2 , pp. 417-420
    • Howorka, E.1
  • 17
    • 84995593396 scopus 로고
    • A characterization ofPtolemaic graphs
    • E. Howorka, A characterization ofPtolemaic graphs, J. Graph Theory 5 (1981) 323-331.
    • (1981) J. Graph Theory , vol.5 , pp. 323-331
    • Howorka, E.1
  • 18
    • 84942401057 scopus 로고
    • Sur les assemblages des lignes
    • C. Jordan, Sur les assemblages des lignes, J. Reine Angew. Math. 70 (1869) 185-190.
    • (1869) J. Reine Angew. Math. , vol.70 , pp. 185-190
    • Jordan, C.1
  • 19
    • 0020787246 scopus 로고
    • On powers and centers ofchordal graphs
    • R. Laskar, D. Shier, On powers and centers ofchordal graphs, Discrete Appl. Math. 6 (1983) 139-147.
    • (1983) Discrete Appl. Math. , vol.6 , pp. 139-147
    • Laskar, R.1    Shier, D.2
  • 20
    • 84987553212 scopus 로고
    • The w-median ofa connected strongly chordal graph
    • H.Y. Lee, G.J. Chang, The w-median ofa connected strongly chordal graph, J. Graph Theory 18 (1994) 673-680.
    • (1994) J. Graph Theory , vol.18 , pp. 673-680
    • Lee, H.Y.1    Chang, G.J.2
  • 21
    • 0042668224 scopus 로고    scopus 로고
    • Medians ofgraphs and kings oftournaments
    • H.Y. Lee, G.J. Chang, Medians ofgraphs and kings oftournaments, Taiwanese J. Math. 1 (1997) 103-110.
    • (1997) Taiwanese J. Math. , vol.1 , pp. 103-110
    • Lee, H.Y.1    Chang, G.J.2
  • 22
    • 84867997497 scopus 로고    scopus 로고
    • Linear algorithms for w-medians ofgraphs
    • H.Y. Lee, G.J. Chang, Linear algorithms for w-medians ofgraphs, JCMCC 31 (1999) 183-192.
    • (1999) JCMCC , vol.31 , pp. 183-192
    • Lee, H.Y.1    Chang, G.J.2
  • 23
    • 13544266638 scopus 로고    scopus 로고
    • Medians and centres ofpolyominoes
    • Y. Metivier, N. Saheb, Medians and centres ofpolyominoes, Inform. Process. Lett. 57 (1996) 175-181.
    • (1996) Inform. Process. Lett. , vol.57 , pp. 175-181
    • Metivier, Y.1    Saheb, N.2
  • 24
    • 70350661746 scopus 로고
    • A linear algorithm for a core of a tree
    • C.A. Morgan, P.J. Slater, A linear algorithm for a core of a tree, J. Algorithms 1 (1980) 247-258.
    • (1980) J. Algorithms , vol.1 , pp. 247-258
    • Morgan, C.A.1    Slater, P.J.2
  • 25
    • 0023995980 scopus 로고
    • The center and the distance center ofa Ptolemaic graph
    • J. Nieminen, The center and the distance center ofa Ptolemaic graph, Oper. Res. Lett. 7 (1988) 91-94.
    • (1988) Oper. Res. Lett. , vol.7 , pp. 91-94
    • Nieminen, J.1
  • 26
    • 0000665233 scopus 로고
    • Centers ofmaximal outplanar graphs
    • A. Proskurowski, Centers ofmaximal outplanar graphs, J. Graph Theory 4 (1980) 75-79.
    • (1980) J. Graph Theory , vol.4 , pp. 75-79
    • Proskurowski, A.1
  • 30
    • 0000750711 scopus 로고
    • Structure ofthe k-centra ofa tree
    • P.J. Slater, Structure ofthe k-centra ofa tree, Congressus Numer. 21 (1978) 663-670.
    • (1978) Congressus Numer , vol.21 , pp. 663-670
    • Slater, P.J.1
  • 31
    • 0001473091 scopus 로고
    • Centers to centroids in graphs
    • P.J. Slater, Centers to centroids in graphs, J. Graph Theory 2 (1978) 209-222.
    • (1978) J. Graph Theory , vol.2 , pp. 209-222
    • Slater, P.J.1
  • 32
    • 0001553193 scopus 로고
    • Medians ofarbitrary graphs
    • P.J. Slater, Medians ofarbitrary graphs, J. Graph Theory 4 (1980) 389-392.
    • (1980) J. Graph Theory , vol.4 , pp. 389-392
    • Slater, P.J.1
  • 33
    • 84868002983 scopus 로고
    • Centrality ofpaths and vertices in a graph: Cores and pits
    • G. Chartrand, et al. (Eds.) Wiley, New York
    • P.J. Slater, Centrality ofpaths and vertices in a graph: cores and pits, in: G. Chartrand, et al. (Eds.), Theory and Applications ofGraphs, Fourth International Conference, Wiley, New York, 1980.
    • (1980) Theory and Applications OfGraphs, Fourth International Conference
    • Slater, P.J.1
  • 34
    • 0042673315 scopus 로고
    • Some deMnitions ofcentral structures
    • P.J. Slater, Some deMnitions ofcentral structures, Lecture Notes in Math. 1073 (1983) 169-178.
    • (1983) Lecture Notes in Math , vol.1073 , pp. 169-178
    • Slater, P.J.1
  • 35
    • 0043049694 scopus 로고
    • D-Convexity in graphs, Dokl. Akad. Nauk SSSR 272 (1983) 535-537 (English transl Soviet Math
    • V.P. Soltan, d-Convexity in graphs, Dokl. Akad. Nauk SSSR 272 (1983) 535-537 (English transl. in Soviet Math. Dokl. 28 (1983) 419-421).
    • (1983) Dokl , vol.28 , pp. 419-421
    • Soltan, V.P.1
  • 37
    • 38249018455 scopus 로고
    • Local medians in chordal graphs
    • H. Wittenberg, Local medians in chordal graphs, Discrete Appl. Math. 28 (1990) 287-296.
    • (1990) Discrete Appl. Math. , vol.28 , pp. 287-296
    • Wittenberg, H.1
  • 38
    • 84867981252 scopus 로고
    • On metric properties ofchordal and Ptolemaic graphs
    • S.V. Yushmanov, On metric properties ofchordal and Ptolemaic graphs, Soviet Math. Dokl. 37 (1988) 665-668.
    • (1988) Soviet Math. Dokl. , vol.37 , pp. 665-668
    • Yushmanov, S.V.1
  • 39
    • 0041412498 scopus 로고
    • A Simple relationship between the diameter and the radius ofa graph
    • S.V. Yushmanov, A Simple relationship between the diameter and the radius ofa graph, Vestnik Moskov. Univ. Mat. 43 (1988) 58-60.
    • (1988) Vestnik Moskov. Univ. Mat. , vol.43 , pp. 58-60
    • Yushmanov, S.V.1
  • 40
    • 84868001408 scopus 로고
    • On m-convexity and centers ofchordal graphs
    • S.V. Yushmanov, On m-convexity and centers ofchordal graphs, Vestnik Moskov. Univ. Mat. 43 (1988) 78-80.
    • (1988) Vestnik Moskov. Univ. Mat. , vol.43 , pp. 78-80
    • Yushmanov, S.V.1
  • 41
    • 0041412496 scopus 로고
    • A general method ofestimating metric characteristics ofa graph that are associated with eccentricity
    • S.V. Yushmanov, A general method ofestimating metric characteristics ofa graph that are associated with eccentricity, Soviet Math. Dokl. 39 (1989) 460-462.
    • (1989) Soviet Math. Dokl. , vol.39 , pp. 460-462
    • Yushmanov, S.V.1
  • 42
    • 0002750931 scopus 로고
    • Medians and peripherians oftrees
    • B. Zelinka, Medians and peripherians oftrees, Arch. Math. (Brno) 4 (1968) 87-95.
    • (1968) Arch. Math. (Brno) , vol.4 , pp. 87-95
    • Zelinka, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.