메뉴 건너뛰기




Volumn 57, Issue 2, 2008, Pages 157-180

Scaled Gromov hyperbolic graphs

Author keywords

CAT (Cartan Alexandrov Toponogov) space; Comparison theory; Gromov hyperbolic graph; Higuchi local curvature; Scale free network

Indexed keywords

GEOMETRY; MATHEMATICAL MODELS; NUMERICAL METHODS;

EID: 38949166796     PISSN: 03649024     EISSN: 10970118     Source Type: Journal    
DOI: 10.1002/jgt.20275     Document Type: Article
Times cited : (82)

References (25)
  • 2
    • 0003204425 scopus 로고
    • Gröbner Bases - A Computational Approach to Commutative Algebra
    • Springer-Verlag, New York, in cooperation with Kredel
    • T. Becker and W. Weispfenning, Gröbner Bases - A Computational Approach to Commutative Algebra, Graduate Texts in Mathematics, Vol. 141, Springer-Verlag, New York, 1993 (in cooperation with Kredel).
    • (1993) Graduate Texts in Mathematics , vol.141
    • Becker, T.1    Weispfenning, W.2
  • 3
    • 0003294571 scopus 로고    scopus 로고
    • Riemannian Geometry During the Second Half of the Twentieth Century
    • American Mathematical Society, Providence, RI
    • M. Berger, Riemannian Geometry During the Second Half of the Twentieth Century, University Lecture Series, Vol. 17, American Mathematical Society, Providence, RI, 2000.
    • (2000) University Lecture Series , vol.17
    • Berger, M.1
  • 6
    • 38949180812 scopus 로고    scopus 로고
    • D. Burago, Y. Burago, and S. Ivanov, A Course in Metric Geometry, Graduate Study in Mathematics, 33, American Mathematical Society, Providence, Rhode Island, 2001.
    • D. Burago, Y. Burago, and S. Ivanov, A Course in Metric Geometry, Graduate Study in Mathematics, Vol. 33, American Mathematical Society, Providence, Rhode Island, 2001.
  • 7
    • 38949196959 scopus 로고    scopus 로고
    • An analogue of the Descartes-Euler formula for infinite graph and Higuchi's conjecture
    • M. DeVos and B. Mohar, An analogue of the Descartes-Euler formula for infinite graph and Higuchi's conjecture, Trans Am Math Soc 359 (2007), 3275-3286.
    • (2007) Trans Am Math Soc , vol.359 , pp. 3275-3286
    • DeVos, M.1    Mohar, B.2
  • 8
    • 0037197899 scopus 로고    scopus 로고
    • Curvature of co-links uncovers hidden thematic layers in the world wide web
    • J.-P. Eckmann and E. Moses, Curvature of co-links uncovers hidden thematic layers in the world wide web, Proc Natl Acad Sci 99(9) 5285-5829. (2002).
    • (2002) Proc Natl Acad Sci , vol.99 , Issue.9 , pp. 5285-5829
    • Eckmann, J.-P.1    Moses, E.2
  • 9
    • 31244437181 scopus 로고    scopus 로고
    • Combinatorial curvature for planar graphs
    • Y Higuchi, Combinatorial curvature for planar graphs, J Graph Theory 38 (2001), 220-229.
    • (2001) J Graph Theory , vol.38 , pp. 220-229
    • Higuchi, Y.1
  • 10
    • 38949204283 scopus 로고    scopus 로고
    • Contrôle du trafic sur les réseaux à géométrie hyperbolique: Vers une théorie géométrique de la sécurité de l'acheminement de l'information
    • E. Jonckheere, Contrôle du trafic sur les réseaux à géométrie hyperbolique: Vers une théorie géométrique de la sécurité de l'acheminement de l'information, Journal Européen des Systèmes Automatisés (RS série JESA) 37(2) (2003), 145-159.
    • (2003) Journal Européen des Systèmes Automatisés (RS série JESA) , vol.37 , Issue.2 , pp. 145-159
    • Jonckheere, E.1
  • 11
    • 38949109173 scopus 로고    scopus 로고
    • E. Jonckheere, On strict Busemann negatively curved spaces, 2006, to be submitted, draft available at http://eudoxus.usc.edu/IW/AIA.html.
    • E. Jonckheere, On strict Busemann negatively curved spaces, 2006, to be submitted, draft available at http://eudoxus.usc.edu/IW/AIA.html.
  • 12
    • 38949155037 scopus 로고    scopus 로고
    • E. Jonckheere, Scaled Gromov hyperbolic graphs: 4-point condition, 2006, to be submitted, draft available at http://eudoxus.usc.edu/IW/AIA.html.
    • E. Jonckheere, Scaled Gromov hyperbolic graphs: 4-point condition, 2006, to be submitted, draft available at http://eudoxus.usc.edu/IW/AIA.html.
  • 15
    • 8744225283 scopus 로고    scopus 로고
    • Geometry of network security
    • Boston, MA, June, Paper WeM11.1, Special Session on Control and Estimation Methods in Network Security and Survivability
    • E. A. Jonckheere and P. Lohsoonthorn, Geometry of network security, In: Proceedings of the American Control Conference (ACC 2004), Boston, MA, June 2004. Paper WeM11.1, Special Session on Control and Estimation Methods in Network Security and Survivability.
    • (2004) Proceedings of the American Control Conference (ACC
    • Jonckheere, E.A.1    Lohsoonthorn, P.2
  • 20
    • 8744221606 scopus 로고    scopus 로고
    • Combinatorial Yamabe flow on surfaces
    • F. Luo, Combinatorial Yamabe flow on surfaces, Commun Contemp Math 6(5) (2004), 765-780.
    • (2004) Commun Contemp Math , vol.6 , Issue.5 , pp. 765-780
    • Luo, F.1
  • 22
    • 0003589271 scopus 로고    scopus 로고
    • The Johns Hopkins University Press, Baltimore, London
    • B. Mohar and C. Thomassen, Graphs on Surfaces, The Johns Hopkins University Press, Baltimore, London, 2001.
    • (2001) Graphs on Surfaces
    • Mohar, B.1    Thomassen, C.2
  • 23
    • 38949167959 scopus 로고    scopus 로고
    • J. Roe, Index Theory, Coarse Geometry, and Topology of Manifolds, Number 90 in Conference Board of the Mathematical Sciences (CBMS); Regional Conference Series in Mathematics, American Mathematical Society, Providence, RI, 1996.
    • J. Roe, Index Theory, Coarse Geometry, and Topology of Manifolds, Number 90 in Conference Board of the Mathematical Sciences (CBMS); Regional Conference Series in Mathematics, American Mathematical Society, Providence, RI, 1996.
  • 24
    • 9244237547 scopus 로고    scopus 로고
    • Positively curved cubic plane graphs are finite
    • L. Sun and X. Yu, Positively curved cubic plane graphs are finite, J Graph Theory 47(4) (2004), 241-274.
    • (2004) J Graph Theory , vol.47 , Issue.4 , pp. 241-274
    • Sun, L.1    Yu, X.2
  • 25
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of small world networks
    • D. J. Watts and S. H. Strogatz, Collective dynamics of small world networks, Nature 393 (1998), 440-442.
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.