We prove that, for any fixed k, one can construct a linear time algorithm that checks if a graph has branchwidth≤ k and, if so, outputs a branch decomposition of minimum width....
Recent study has shown that canonical algorithms such as Principal Component Analysis (PCA) and Linear Discriminant Analysis (LDA) can be obtained from graph based dimensionality ...
Given a graph where increasing the weight of an edge has a nondecreasing convex piecewise linear cost, we study the problem of finding a minimum cost increase of the weights so tha...
In this paper, we compare several 0-1 linear programs for solving the satellite mission planning problem. We prove that one of them presents a smaller integrality gap. Our explana...
We present an algorithm that determines the prime factors of connected graphs with respect to the Cartesian product in linear time and space. This improves a result of Aurenhammee...