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CORR
2010
Springer
103views Education» more  CORR 2010»
15 years 6 months ago
Random Information Spread in Networks
Let G = (V, E) be an undirected loopless graph with possible parallel edges and s, t V . Assume that s is labelled at the initial time step and that every labelled vertex copies i...
Raymond Lapus, Frank Simon, Peter Tittmann
SIAMDM
2010
136views more  SIAMDM 2010»
15 years 1 months ago
Obnoxious Centers in Graphs
We consider the problem of finding obnoxious centers in graphs. For arbitrary graphs with n vertices and m edges, we give a randomized algorithm with O(n log2 n + m log n) expecte...
Sergio Cabello, Günter Rote
RSA
2010
89views more  RSA 2010»
15 years 4 months ago
Edge flows in the complete random-lengths network
Consider the complete n-vertex graph whose edge-lengths are independent exponentially distributed random variables. Simultaneously for each pair of vertices, put a constant flow ...
David J. Aldous, Shankar Bhamidi
RSA
2011
121views more  RSA 2011»
15 years 1 months ago
Ramsey games with giants
: The classical result in the theory of random graphs, proved by Erd˝os and Rényi in 1960, concerns the threshold for the appearance of the giant component in the random graph pr...
Tom Bohman, Alan M. Frieze, Michael Krivelevich, P...
WEA
2004
Springer
85views Algorithms» more  WEA 2004»
15 years 11 months ago
Faster Deterministic and Randomized Algorithms on the Homogeneous Set Sandwich Problem
A homogeneous set is a non-trivial, proper subset of a graph’s vertices such that all its elements present exactly the same outer neighborhood. Given two graphs, G1(V, E1), G2(V,...
Celina M. Herrera de Figueiredo, Guilherme Dias da...