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» The Longest Path Problem Is Polynomial on Interval Graphs
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MFCS
2007
Springer
14 years 1 months ago
Finding Paths Between Graph Colourings: PSPACE-Completeness and Superpolynomial Distances
Suppose we are given a graph G together with two proper vertex k-colourings of G, α and β. How easily can we decide whether it is possible to transform α into β by recolouring...
Paul S. Bonsma, Luis Cereceda
JGT
2007
99views more  JGT 2007»
13 years 7 months ago
Backbone colorings for graphs: Tree and path backbones
We introduce and study backbone colorings, a variation on classical vertex colorings: Given a graph G = (V, E) and a spanning subgraph H of G (the backbone of G), a backbone color...
Hajo Broersma, Fedor V. Fomin, Petr A. Golovach, G...
IPL
2008
146views more  IPL 2008»
13 years 7 months ago
A running time analysis of an Ant Colony Optimization algorithm for shortest paths in directed acyclic graphs
In this paper, we prove polynomial running time bounds for an Ant Colony Optimization (ACO) algorithm for the single-destination shortest path problem on directed acyclic graphs. ...
Nattapat Attiratanasunthron, Jittat Fakcharoenphol
MFCS
2009
Springer
14 years 1 months ago
Balanced Paths in Colored Graphs
We consider finite graphs whose edges are labeled with elements, called colors, taken from a fixed finite alphabet. We study the problem of determining whether there is an infi...
Alessandro Bianco, Marco Faella, Fabio Mogavero, A...
STAIRS
2008
143views Education» more  STAIRS 2008»
13 years 8 months ago
Domain-Dependent View of Multiple Robots Path Planning
We study a problem of path planning for a group of robots in this paper. The problem is stated as a finding of spatial-temporal paths through which the robots can go from their ini...
Pavel Surynek