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» Quasi-random graphs with given degree sequences
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COMBINATORICS
2006
131views more  COMBINATORICS 2006»
14 years 9 months ago
Encores on Cores
We give a new derivation of the threshold of appearance of the k-core of a random graph. Our method uses a hybrid model obtained from a simple model of random graphs based on rand...
Julie Cain, Nicholas C. Wormald
SODA
1997
ACM
95views Algorithms» more  SODA 1997»
14 years 11 months ago
Randomly Sampling Molecules
We give a polynomial-time algorithm for the following problem: Given a degree sequence in which each degree is bounded from above by a constant, select, uniformly at random, an un...
Leslie Ann Goldberg, Mark Jerrum
MFCS
1995
Springer
15 years 1 months ago
Graph Inference from a Walk for TRees of Bounded Degree 3 is NP-Complete
The graph inference from a walk for a class C of undirected edge-colored graphs is, given a string x of colors, nding the smallest graph G in C that allows a traverse of all edge...
Osamu Maruyama, Satoru Miyano
COMBINATORICA
2006
69views more  COMBINATORICA 2006»
14 years 9 months ago
Distance Sequences In Locally Infinite Vertex-Transitive Digraphs
We prove that the out-distance sequence {f+ (k)} of a vertex-transitive digraph of finite or infinite degree satisfies f+ (k + 1) f+ (k)2 for k 1, where f+ (k) denotes the numbe...
Wesley Pegden
ALENEX
2003
137views Algorithms» more  ALENEX 2003»
14 years 11 months ago
The Markov Chain Simulation Method for Generating Connected Power Law Random Graphs
Graph models for real-world complex networks such as the Internet, the WWW and biological networks are necessary for analytic and simulation-based studies of network protocols, al...
Christos Gkantsidis, Milena Mihail, Ellen W. Zegur...