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CPC
2008
157views more  CPC 2008»
13 years 5 months ago
The Critical Phase for Random Graphs with a Given Degree Sequence
Mihyun Kang, Taral Guldahl Seierstad
COMBINATORICS
2006
131views more  COMBINATORICS 2006»
13 years 5 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
ALGORITHMICA
2007
93views more  ALGORITHMICA 2007»
13 years 5 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
CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 5 months ago
Exact counting of Euler Tours for generalized series-parallel graphs
We give a simple polynomial-time algorithm to exactly count the number of Euler Tours (ETs) of any Eulerian generalized series-parallel graph, and show how to adapt this algorithm...
Prasad Chebolu, Mary Cryan, Russell A. Martin