Consider the following problem, that we call “Chordless Path through Three Vertices” or CP3V, for short: Given a simple undirected graph G = (V, E), a positive integer k, and t...
Given an undirected graph with positive edge weights, define Nq(v) for each node v to be the set of q nodes closest to v (including v itself and breaking ties by node ID). It is ...
We investigate a variant of on-line edge-coloring in which there is a fixed number of colors availableandtheaimistocolorasmanyedgesaspossible.Weproveupperandlowerboundsontheperform...
A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to...
We describe an annealing procedure that computes the normalized N-cut of a weighted graph G. The first phase transition computes the solution of the approximate normalized 2-cut p...