Download Algorithms and Models for the Web Graph: 8th International by Evimaria Terzi, Marco Winkler (auth.), Alan Frieze, Paul PDF

By Evimaria Terzi, Marco Winkler (auth.), Alan Frieze, Paul Horn, Paweł Prałat (eds.)

This publication constitutes the refereed lawsuits of the eighth foreign Workshop on Algorithms and types for the Web-Graph, WAW 2011, held in Atlanta, GA, in could 2011 - co-located with RSA 2011, the fifteenth overseas convention on Random constructions and Algorithms.
The thirteen revised complete papers awarded including 1 invited lecture have been rigorously reviewed and chosen from 19 submissions. Addressing a large choice of themes with regards to the learn of the Web-graph equivalent to theoretical and empirical research, the papers characteristic unique examine when it comes to algorithmic and mathematical research in all parts referring to the World-Wide net with precise concentration to the view of advanced facts as networks.

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Extra resources for Algorithms and Models for the Web Graph: 8th International Workshop, WAW 2011, Atlanta, GA, USA, May 27-29, 2011. Proceedings

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Bounds on the L2 spectrum for Markov chains and Markov processes: a generalization of Cheeger’s inequality. : Conductance and convergence of markov chainsa combinatorial treatment of expanders. In: Proc. of 30th FOCS, pp. : A Dirac-type theorem for 3-uniform hypergraphs. Combin. Probab. Comput. : An approximate Dirac-type theorem for k-uniform hypergraphs. : Laplacian eigenvalues and partition problems in hypergraphs. com Abstract. An (α, β)-community is a subset of vertices C with each vertex in C connected to at least β vertices of C (self-loops counted) and each vertex outside of C connected to at most α vertices of C (α < β) [9].

Math. : Spectral graph theory. AMS Publications. : Laplacians and the Cheeger inequality for directed graphs. Annals of Comb. : The diameter and Laplacian eigenvalues of directed graphs. : Loose Hamilton cycles in random 3-uniform hypergraphs. : 3 Dirac-type results for loose Hamilton cycles in uniform hypergraphs. J. Comb. Theory Ser. : Hamiltonian chains in hypergraphs. J. : Hypergraphs, quasi-randomness, and conditions for regularity. J. Combin. Theory Ser. : Loose Hamilton cycles in 3-uniform hypergraphs of high minimum degree.

For r/2 < s ≤ r − 1, suppose that an r-uniform hypergraph H (s) is s-connected. Let λ1 be the smallest nonzero eigenvalue of the Laplacian of D(s) . The s-diameter of H satisfies ⎡ ⎤ vol(Vs ) 2 log δ (s) ⎥ diam(s) (H) ≤ ⎢ ⎢ log 2 ⎥. (s) ⎥ ⎢ 2−λ 1 s Here vol(V ) = x∈Vs dx = |E(H)|r! and δ (s) is the minimum degree in D(s) . 3 23 The Edge Expansions in Hypergraphs In this subsection, we prove some results on the edge expansions in hypergraphs. Note that there was some attempt to generalize the edge discrepancy theorem from graphs to hypergraphs [3].

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