, Vertex Isoperimetry and Concentration

@article{Bobkov2000VI,
  title={, Vertex Isoperimetry and Concentration},
  author={Sergey G. Bobkov and Christian Houdr{\'e} and Prasad Tetali},
  journal={Combinatorica},
  year={2000},
  volume={20},
  pages={153-172}
}
. This approach refines results relating the spectral gap of a graph to the so-called magnification of a graph. A concentration result involving is also derived. 
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We present versions of concentration inequalities for products of Markov kernels and graph products. We also present discussions of a variety of consequences such as sharp upper bounds, in terms of…
Poincaré’s inequalities and Talagrand’s concentration phenomenon for the exponential distribution
Summary. We present a simple proof, based on modified logarithmic Sobolev inequalities, of Talagrand’s concentration inequality for the exponential distribution. We actually observe that every…
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Abstract. For a finite metric space V with a metric $ \rho $, let V n be the metric space in which the distance between (a1, . . ., an) and (b1, . . ., bn) is the sum $ \sum^{n}_{i = 1} \rho (a_i,…
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Several results relating the algebraic properties of a set of functions to the structure of the graph of any straight-line program, that computes this set, are shown.
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