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COMBINATORICS
2006
131views more  COMBINATORICS 2006»
13 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
MFCS
1995
Springer
14 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
STOC
2000
ACM
112views Algorithms» more  STOC 2000»
14 years 2 months ago
A random graph model for massive graphs
We propose a random graph model which is a special case of sparse random graphs with given degree sequences. This model involves only a small number of parameters, called logsize ...
William Aiello, Fan R. K. Chung, Linyuan Lu
ALGORITHMICA
2007
93views more  ALGORITHMICA 2007»
13 years 10 months ago
Random 2-SAT with Prescribed Literal Degrees
Two classic “phase transitions” in discrete mathematics are the emergence of a giant component in a random graph as the density of edges increases, and the transition of a rand...
Colin Cooper, Alan M. Frieze, Gregory B. Sorkin
JAIR
1998
92views more  JAIR 1998»
13 years 9 months ago
The Gn, m Phase Transition is Not Hard for the Hamiltonian Cycle Problem
Using an improved backtrack algorithm with sophisticated pruning techniques, we revise previous observations correlating a high frequency of hard to solve Hamiltonian cycle instan...
Basil Vandegriend, Joseph C. Culberson