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» On the Maximum Number of Cliques in a Graph
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JAL
2006
175views more  JAL 2006»
13 years 7 months ago
Approximations for minimum and min-max vehicle routing problems
: We consider a variety of vehicle routing problems. The input to a problem consists of a graph G = (N, E) and edge lengths l(e) e E. Customers located at the vertices have to be ...
Esther M. Arkin, Refael Hassin, Asaf Levin
ENDM
2007
140views more  ENDM 2007»
13 years 7 months ago
Acyclic dominating partitions
Given a graph G = (V, E), let P be a partition of V . We say that P is dominating if, for each part P of P, the set V \ P is a dominating set in G (equivalently, if every vertex h...
Louigi Addario-Berry, Ross J. Kang
PDCAT
2005
Springer
14 years 1 months ago
Approximating Spanning Trees with Inner Nodes Cost
We consider the practical NP-complete problem of finding a minimum weight spanning tree with both edge weights and inner nodes weights. We present two polynomial time algorithms ...
Rudolf Fleischer, Qi Ge, Jian Li, Shijun Tian, Hai...
COMBINATORICS
1999
64views more  COMBINATORICS 1999»
13 years 7 months ago
Orthogonal Colorings of Graphs
An orthogonal coloring of a graph G is a pair {c1, c2} of proper colorings of G, having the property that if two vertices are colored with the same color in c1, then they must hav...
Yair Caro, Raphael Yuster
WADS
2009
Springer
232views Algorithms» more  WADS 2009»
14 years 2 months ago
On Making Directed Graphs Transitive
We present the first thorough theoretical analysis of the Transitivity Editing problem on digraphs. Herein, the task is to perform a minimum number of arc insertions or deletions ...
Mathias Weller, Christian Komusiewicz, Rolf Nieder...