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» On Computing Longest Paths in Small Graph Classes
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SAC
2010
ACM
14 years 2 months ago
MSP algorithm: multi-robot patrolling based on territory allocation using balanced graph partitioning
This article addresses the problem of efficient multi-robot patrolling in a known environment. The proposed approach assigns regions to each mobile agent. Every region is represen...
David Portugal, Rui Rocha
WG
2010
Springer
13 years 5 months ago
Computing the Cutwidth of Bipartite Permutation Graphs in Linear Time
The problem of determining the cutwidth of a graph is a notoriously hard problem which remains NP-complete under severe restrictions on input graphs. Until recently, non-trivial p...
Pinar Heggernes, Pim van 't Hof, Daniel Lokshtanov...
AAAI
2010
13 years 8 months ago
Search-Based Path Planning with Homotopy Class Constraints
Goal-directed path planning is one of the basic and widely studied problems in the field of mobile robotics. Homotopy classes of trajectories, arising due to the presence of obsta...
Subhrajit Bhattacharya
ALGORITHMICA
2010
188views more  ALGORITHMICA 2010»
13 years 7 months ago
The 1-Fixed-Endpoint Path Cover Problem is Polynomial on Interval Graphs
Abstract We consider a variant of the path cover problem, namely, the k-fixedendpoint path cover problem, or kPC for short, on interval graphs. Given a graph G and a subset T of k ...
Katerina Asdre, Stavros D. Nikolopoulos
NETWORKS
2011
13 years 2 months ago
Line planning, path constrained network flow and inapproximability
Abstract. We consider a basic subproblem which arises in line planning, and is of particular importance in the context of a high system load or robustness: How much can be routed m...
Christina Büsing, Sebastian Stiller