Fetching the paper…
Reading the bibliography…
Initial steps in the study of inner expansion properties of infinite Cayley graphs and other infinite graphs, such as hyperbolic ones, are taken, in a flavor similar to the well-known Lipton-Tarjan square root separation result for planar graphs.
Lipton R. and Tarjan R. A separator theorem for planar graphs. SIAM J. Appl. Math. 36 (1979), no. 2, 177–189
1979
Earlier work this paper cites.
1986
Earlier work this paper cites.
Gromov M. Hyperbolic groups. Essays in group theory, 75–263, Math. Sci. Res. Inst. Publ., 8, Springer, New York-Berlin, 1987
1987
Earlier work this paper cites.
Alon N., Seymour P. and Thomas R. A separator theorem for nonplanar graphs. J. Amer. Math. Soc. 3 (1990), no. 4, 801–808
1990
Earlier work this paper cites.
Ghys E., Haefliger A. and Verjovsky A. (eds.), Group theory from a geometrical viewpoint
1991
Earlier work this paper cites.
Gromov M. Asymptotic invariants of infinite groups. Geometric group theory 2. Lond. Math. Soc. Lecture Notes 182
1993
Earlier work this paper cites.
Alon N. Seymour P. and Thomas R. Planar separators. SIAM J. Discrete Math. 7 (1994), no. 2, 184–193
1994
Earlier work this paper cites.
Bodlaender H. and Engelfriet J. Domino treewidth. In Proceedings 20th International Workshop on Graph Theoretic Concepts in Computer Science WG’94. (1995), 1–13
1995
Cited alongside, same era.
Benjamini I. and Schramm O. Harmonic functions on planar and almost planar graphs and manifolds, via circle packings. Invent. Math. 126 (1996), no. 3, 565–587
1996
Cited alongside, same era.
Diestel R. Graph theory
1997
Cited alongside, same era.
Miller G., Teng S-H., Thurston W. and Vavasis S. Separators for sphere-packings and nearest neighbor graphs. J. ACM 44 (1997), no. 1, 1–29
1997
Cited alongside, same era.
Bodlaender H. A partial k-arboretum of graphs with bounded treewidth. Theoretical Computer Science, 209 (1998), 1–45
1998
Cited alongside, same era.
Krauthgamer R. and Lee J. R. The intrinsic dimensionality of graphs. In Proceedings of STOC’2003. 438–447
2003
Later among the works it cites.
Buyalo S. and Schroeder V. Embedding of hyperbolic spaces in the product of trees. Geometriae Dedicata (2005), vol. 113, no. 1, 75–93
2005
Later among the works it cites.
Nekrashevych V. Self-similar groups
2005
Later among the works it cites.
Bell G. and Dranishnikov A. Asymptotic dimension. Topology Appl. 155 (2008), no. 12, 1265Ð1296
2008
Later among the works it cites.
2009
Later among the works it cites.
Benjamini I. and Kozma G.. Nonamenable Liouville Graphs. arxiv:1010.3365v1 (2010)
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Miller G., Teng S-H., Thurston W. and Vavasis S. Geometric separators for finite-element meshes. SIAM J. Sci. Comput. 19 (1998), no. 2, 364–386 (electronic)
1998
Cited alongside, same era.
David G. and Semmes S. Regular mappings between dimensions. Publications Matematiques, 44
2000
Cited alongside, same era.
2010
Closest in time.