Let G = (V, E) be an undirected graph. Let C be a subset of vertices that we shall call a code. For any vertex v V , the neighbouring set N(v, C) is the set of vertices of C at d...
d Abstract) Alexander Langer, Peter Rossmanith, and Somnath Sikdar RWTH Aachen University, 52074 Aachen, Germany. We present an alternative proof of a theorem by Courcelle, Makowsk...
Alexander Langer, Peter Rossmanith, Somnath Sikdar
Let G = (V, E) be a simple graph on vertex set V and define a function f : V {-1, 1}. The function f is a signed dominating function if for every vertex x V, the closed neighbor...
We analyze the addition of a simple local improvement step to various known randomized approximation algorithms. Let ' 0:87856 denote the best approximation ratio currently k...
Given a graph G we consider the problem of preprocessing it so that given two vertices x,y and a set X of vertices, we can efficiently report the shortest path (or just its length...