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NETWORKS
2008
14 years 9 months ago
Lower bounds for two-period grooming via linear programming duality
In a problem arising in grooming for two-period optical networks, it is required to decompose the complete graph on n vertices into subgraphs each containing at most C edges, so t...
Charles J. Colbourn, Gaetano Quattrocchi, Violet R...
MFCS
2007
Springer
15 years 3 months ago
On the Complexity of Computing Treelength
We resolve the computational complexity of determining the treelength of a graph, thereby solving an open problem of Dourisboure and Gavoille, who introduced this parameter, and a...
Daniel Lokshtanov
ISAAC
2009
Springer
109views Algorithms» more  ISAAC 2009»
15 years 4 months ago
A Linear Vertex Kernel for Maximum Internal Spanning Tree
We present an algorithm that for any graph G and integer k ≥ 0 in time polynomial in the size of G either nds a spanning tree with at least k internal vertices, or outputs a ne...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh, St&e...
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
15 years 3 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari
ACTAC
2007
69views more  ACTAC 2007»
14 years 10 months ago
Synthesising Robust Schedules for Minimum Disruption Repair Using Linear Programming
An o-line scheduling algorithm considers resource, precedence, and synchronisation requirements of a task graph, and generates a schedule guaranteeing its timing requirements. Th...
Dávid Hanák, Nagarajan Kandasamy