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RSA
2006
132views more  RSA 2006»
13 years 10 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
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
12 years 1 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
SODA
2008
ACM
59views Algorithms» more  SODA 2008»
14 years 8 days ago
Universality of random graphs
Domingos Dellamonica Jr., Yoshiharu Kohayakawa, Vo...
SODA
2001
ACM
138views Algorithms» more  SODA 2001»
14 years 6 days ago
The diameter of random massive graphs
Many massive graphs (such as the WWW graph and Call graphs) share certain universal characteristics which can be described by so-called the "power law". Here we determin...
Linyuan Lu
RANDOM
2001
Springer
14 years 3 months ago
Near-optimum Universal Graphs for Graphs with Bounded Degrees
d Abstract) Noga Alon1, , Michael Capalbo2, , Yoshiharu Kohayakawa3, , Vojtˇech R¨odl4,† , Andrzej Ruci´nski5,‡ , and Endre Szemer´edi6,§ 1 Department of Mathematics, Raym...
Noga Alon, Michael R. Capalbo, Yoshiharu Kohayakaw...