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» Asymptotic equivalence and contiguity of some random graphs
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APPROX
2004
Springer
179views Algorithms» more  APPROX 2004»
13 years 10 months ago
Maximum Weight Independent Sets and Matchings in Sparse Random Graphs. Exact Results Using the Local Weak Convergence Method
ABSTRACT: Let G(n, c/n) and Gr(n) be an n-node sparse random graph and a sparse random rregular graph, respectively, and let I(n, r) and I(n, c) be the sizes of the largest indepen...
David Gamarnik, Tomasz Nowicki, Grzegorz Swirszcz
IPL
1998
95views more  IPL 1998»
13 years 5 months ago
Coloring Random Graphs
An equitable coloring of a graph is a proper vertex coloring such that the sizes of any two color classes differ by at most one. The least positive integer k for which there exis...
Michael Krivelevich, Benny Sudakov
JGT
2007
112views more  JGT 2007»
13 years 5 months ago
The 2-dimensional rigidity of certain families of graphs
Laman’s characterization of minimally rigid 2-dimensional generic frameworks gives a matroid structure on the edge set of the underlying graph, as was first pointed out and expl...
Bill Jackson, Brigitte Servatius, Herman Servatius
JCT
2011
90views more  JCT 2011»
13 years 7 days ago
Small subgraphs in random graphs and the power of multiple choices
The standard paradigm for online power of two choices problems in random graphs is the Achlioptas process. Here we consider the following natural generalization: Starting with G0 a...
Torsten Mütze, Reto Spöhel, Henning Thom...
CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 5 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