It was proved by [Garey and Johnson, 1983] that computing the crossing number of a graph is an NP-hard problem. Their reduction, however, used parallel edges and vertices of very h...
We give linear-time algorithms for a class of parametric search problems on weighted graphs of bounded tree-width. We also discuss the implications of our results to approximate p...
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...