COMBINATORICA
2007
13 years 4 months ago
2007
The standard Erd˝os-Renyi model of random graphs begins with n isolated vertices, and at each round a random edge is added. Parametrizing n 2 rounds as one time unit, a phase tra...
EJC
2006
13 years 4 months ago
2006
We find the asymptotic number of connected graphs with k vertices and k - 1 + l edges when k, l approach infinity, reproving a result of Bender, Canfield and McKay. We use the pro...
CPC
2006
13 years 4 months ago
2006
We consider instances of the maximum independent set problem that are constructed according to the following semirandom model. Let Gn,p be a random graph, and let S be a set consis...
CPC
2006
13 years 4 months ago
2006
Abstract. We show that a maximum cut of a random graph below the giantcomponent threshold can be found in linear space and linear expected time by a simple algorithm. In fact, the ...
COMBINATORICS
2006
13 years 4 months ago
2006
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...
CORR
2008
Springer
13 years 4 months ago
2008
Springer
Finding the largest clique in random graphs is a well known hard problem. It is known that a random graph G(n, 1/2) almost surely has a clique of size about 2 log n. A simple greed...
CORR
2010
Springer
13 years 4 months ago
2010
Springer
Quasi-random graphs can be informally described as graphs whose edge distribution closely resembles that of a truly random graph of the same edge density. Recently, Shapira and Yu...
CORR
2010
Springer
13 years 4 months ago
2010
Springer
The intrinsically secure communications graph (-graph) is a random graph which captures the connections that can be securely established over a large-scale network, in the presence...
COMBINATORICA
2008
13 years 4 months ago
2008
We show that if a graph G has the property that all subsets of vertices of size n/4 contain the "correct" number of triangles one would expect to find in a random graph ...
FOCS
1993
IEEE
13 years 8 months ago
1993
IEEE
We resolve in the a rmative a question of Boppana and Bui: whether simulated annealing can, with high probability and in polynomial time, nd the optimal bisection of a random grap...