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WAW
2009
Springer
150views Algorithms» more  WAW 2009»
14 years 1 months ago
The Giant Component in a Random Subgraph of a Given Graph
We consider a random subgraph Gp of a host graph G formed by retaining each edge of G with probability p. We address the question of determining the critical value p (as a function...
Fan Chung Graham, Paul Horn, Linyuan Lu
JGT
2007
130views more  JGT 2007»
13 years 7 months ago
Vertex partitions and maximum degenerate subgraphs
: Let G be a graph with maximum degree d ≥ 3 and ω(G) ≤ d, where ω(G) is the clique number of the graph G. Let p1 and p2 be two positive integers such that d = p1 + p2. In th...
Martín Matamala
DM
2007
93views more  DM 2007»
13 years 7 months ago
Small subgraphs of random regular graphs
The main aim of this short paper is to answer the following question. Given a fixed graph H, for which values of the degree d does a random d-regular graph on n vertices contain ...
Jeong Han Kim, Benny Sudakov, Van H. Vu
CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 2 months ago
Partitions and Coverings of Trees by Bounded-Degree Subtrees
This paper addresses the following questions for a given tree T and integer d 2: (1) What is the minimum number of degree-d subtrees that partition E(T)? (2) What is the minimum n...
David R. Wood
GD
2005
Springer
14 years 27 days ago
Energy-Based Clustering of Graphs with Nonuniform Degrees
Widely varying node degrees occur in software dependency graphs, hyperlink structures, social networks, and many other real-world graphs. Finding dense subgraphs in such graphs is ...
Andreas Noack