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» On Bounds for the k-Partitioning of Graphs
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COMBINATORICS
1999
90views more  COMBINATORICS 1999»
14 years 9 months ago
New Bounds for Codes Identifying Vertices in Graphs
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...
Gérard D. Cohen, Iiro S. Honkala, Antoine L...
CORR
2011
Springer
169views Education» more  CORR 2011»
14 years 4 months ago
Linear-Time Algorithms for Graphs of Bounded Rankwidth: A Fresh Look Using Game Theory
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
ENDM
2002
134views more  ENDM 2002»
14 years 9 months ago
Bounds on the signed domination number of a graph
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...
Ruth Haas, Thomas B. Wexler
ECCC
2000
93views more  ECCC 2000»
14 years 9 months ago
Improved Approximation of MAX-CUT on Graphs of Bounded Degree
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...
Uriel Feige, Marek Karpinski, Michael Langberg
MST
2010
106views more  MST 2010»
14 years 8 months ago
Constrained-Path Labellings on Graphs of Bounded Clique-Width
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...
Bruno Courcelle, Andrew Twigg