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» Packing vertices and edges in random regular graphs
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RSA
2006
132views more  RSA 2006»
13 years 4 months ago
Almost universal graphs
We study the question as to when a random graph with n vertices and m edges contains a copy of almost all graphs with n vertices and cn/2 edges, c
Alan M. Frieze, Michael Krivelevich
APPROX
2010
Springer
179views Algorithms» more  APPROX 2010»
13 years 5 months ago
Rumor Spreading on Random Regular Graphs and Expanders
Broadcasting algorithms are important building blocks of distributed systems. In this work we investigate the typical performance of the classical and well-studied push model. Assu...
Nikolaos Fountoulakis, Konstantinos Panagiotou
RSA
2011
126views more  RSA 2011»
12 years 11 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
EJC
2007
13 years 4 months ago
Perfect packings with complete graphs minus an edge
Let K− r denote the graph obtained from Kr by deleting one edge. We show that for every integer r ≥ 4 there exists an integer n0 = n0(r) such that every graph G whose order n ...
Oliver Cooley, Daniela Kühn, Deryk Osthus
RSA
2011
77views more  RSA 2011»
12 years 11 months ago
Regular induced subgraphs of a random Graph
An old problem of Erd˝os, Fajtlowicz and Staton asks for the order of a largest induced regular subgraph that can be found in every graph on n vertices. Motivated by this problem...
Michael Krivelevich, Benny Sudakov, Nicholas C. Wo...