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CONSTRAINTS
2008
90views more  CONSTRAINTS 2008»
13 years 7 months ago
Combining Tree Partitioning, Precedence, and Incomparability Constraints
The tree constraint partitions a directed graph into node-disjoint trees. In many practical applications that involve such a partition, there exist side constraints specifying requ...
Nicolas Beldiceanu, Pierre Flener, Xavier Lorca
GECCO
2007
Springer
166views Optimization» more  GECCO 2007»
14 years 1 months ago
Comparison of tree and graph encodings as function of problem complexity
In this paper, we analyze two general-purpose encoding types, trees and graphs systematically, focusing on trends over increasingly complex problems. Tree and graph encodings are ...
Michael D. Schmidt, Hod Lipson
FCT
2003
Springer
14 years 23 days ago
Graph Searching, Elimination Trees, and a Generalization of Bandwidth
The bandwidth minimization problem has a long history and a number of practical applications. In this paper we introduce a natural extension of bandwidth to partially ordered layo...
Fedor V. Fomin, Pinar Heggernes, Jan Arne Telle
CORR
2010
Springer
107views Education» more  CORR 2010»
13 years 6 months ago
Maximum Betweenness Centrality: Approximability and Tractable Cases
The Maximum Betweenness Centrality problem (MBC) can be defined as follows. Given a graph find a k-element node set C that maximizes the probability of detecting communication be...
Martin Fink, Joachim Spoerhase
DAM
2007
141views more  DAM 2007»
13 years 7 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall