Equivalent Properties for CD Inequalities on Graphs with Unbounded Laplacians

被引:14
|
作者
Gong, Chao [1 ]
Lin, Yong [1 ]
机构
[1] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China
关键词
Graph theory; CD inequality; Unbounded Laplacian; STOCHASTIC COMPLETENESS; CURVATURE;
D O I
10.1007/s11401-017-1022-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The CD inequalities are introduced to imply the gradient estimate of Laplace operator on graphs. This article is based on the unbounded Laplacians, and filially concludes soiree equivalent properties of the CD(K,infinity) and (K,n).
引用
收藏
页码:1059 / 1070
页数:12
相关论文
共 50 条
  • [41] Minimum higher eigenvalues of Laplacians on graphs
    Friedman, J
    [J]. DUKE MATHEMATICAL JOURNAL, 1996, 83 (01) : 1 - 18
  • [42] Riesz transforms for bounded Laplacians on graphs
    Chen, Li
    Coulhon, Thierry
    Hua, Bobo
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2020, 294 (1-2) : 397 - 417
  • [43] Algebraic multigrid methods for Laplacians of graphs
    Bolten, Matthias
    Friedhoff, Stephanie
    Frommer, Andreas
    Heming, Matthias
    Kahl, Karsten
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 434 (11) : 2225 - 2243
  • [44] ON LEARNING LAPLACIANS OF TREE STRUCTURED GRAPHS
    Lu, Keng-Shih
    Pavez, Eduardo
    Ortega, Antonio
    [J]. 2018 IEEE DATA SCIENCE WORKSHOP (DSW), 2018, : 205 - 209
  • [45] The Liouville and the intersection properties are equivalent for planar graphs
    Benjamini, Itai
    Curien, Nicolas
    Georgakopoulos, Agelos
    [J]. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2012, 17 : 1 - 5
  • [46] Laplacians and the Cheeger inequality for directed graphs
    Chung, Fan
    [J]. ANNALS OF COMBINATORICS, 2005, 9 (01) : 1 - 19
  • [47] On the Spectral Gap for Laplacians on Metric Graphs
    Kurasov, P.
    [J]. ACTA PHYSICA POLONICA A, 2013, 124 (06) : 1060 - 1062
  • [48] GRAM MATRICES OF REPRODUCING KERNEL HILBERT SPACES OVER GRAPHS IV. (QUADRATIC INEQUALITIES FOR GRAPH LAPLACIANS)
    Seto, M.
    Suda, S.
    [J]. ST PETERSBURG MATHEMATICAL JOURNAL, 2020, 31 (01) : 107 - 116
  • [49] Unbounded quantum graphs with unbounded boundary conditions
    Lenz, Daniel
    Schubert, Carsten
    Veselic, Ivan
    [J]. MATHEMATISCHE NACHRICHTEN, 2014, 287 (8-9) : 962 - 979
  • [50] Hardy inequalities for magnetic p-Laplacians
    Cazacu, Cristian
    Krejcirik, David
    Lam, Nguyen
    Laptev, Ari
    [J]. NONLINEARITY, 2024, 37 (03)