We obtain the rst NC algorithm for the low-diameter graph decomposition problem on arbitrary graphs. Our algorithm runs in O(log5 (n)) time, and uses O(n2) processors.
In this work a matrix representation that characterizes the interval and proper interval graphs is presented, which is useful for the efficient formulation and solution of optimiz...
Algorithmic meta theorems are algorithmic results that apply to whole families of combinatorial problems, instead of just specific problems. These families are usually defined i...
We prove that the space of possible final configurations for a parking problem is parameterized by the vertices of a regular Bruhat graph associated to a 231-avoiding permutation,...
We design a 0:795 approximation algorithm for the Max-Bisection problem restricted to regular graphs. In the case of three regular graphs our results imply an approximation ratio ...