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NETWORKS
2008
15 years 3 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 10 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 10 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 10 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»
15 years 4 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