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WAW
2009
Springer
150views Algorithms» more  WAW 2009»
15 years 4 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»
14 years 9 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»
14 years 10 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»
14 years 4 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
15 years 3 months 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