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89
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APPROX
2005
Springer
106views Algorithms» more  APPROX 2005»
15 years 5 months ago
Approximating the Bandwidth of Caterpillars
A caterpillar is a tree in which all vertices of degree three or more lie on one path, called the backbone. We present a polynomial time algorithm that produces a linear arrangeme...
Uriel Feige, Kunal Talwar
88
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IPL
2010
111views more  IPL 2010»
14 years 10 months ago
Connecting face hitting sets in planar graphs
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...
Pascal Schweitzer, Patrick Schweitzer
97
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GD
1998
Springer
15 years 3 months ago
An Algorithm for Three-Dimensional Orthogonal Graph Drawing
Abstract. In this paper we present an algorithm for 3-dimensional orthogonal graph drawing based on the movement of vertices from an initial layout along the main diagonal of a cub...
David R. Wood
WINE
2010
Springer
178views Economy» more  WINE 2010»
14 years 9 months ago
Improved Hardness of Approximation for Stackelberg Shortest-Path Pricing
We consider the Stackelberg shortest-path pricing problem, which is defined as follows. Given a graph G with fixed-cost and pricable edges and two distinct vertices s and t, we may...
Patrick Briest, Parinya Chalermsook, Sanjeev Khann...
JAT
2010
61views more  JAT 2010»
14 years 10 months ago
Close-to-optimal bounds for SU(N) loop approximation
In [6], we proved an asymptotic O(n−α/(α+1)) bound for the approximation of SU(N) loops (N ≥ 2) with Lipschitz smoothness α > 1/2 by polynomial loops of degree ≤ n. Th...
Peter Oswald, Tatiana Shingel