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IPL
1998
119views more  IPL 1998»
13 years 7 months ago
A 2.5-Factor Approximation Algorithm for the k-MST Problem
The k-MST problem requires finding that subset of at least k vertices of a given graph whose Minimum Spanning Tree has least weight amongst all subsets of at least k vertices. Th...
Sunil Arya, H. Ramesh
STACS
2010
Springer
14 years 2 months ago
Beyond Bidimensionality: Parameterized Subexponential Algorithms on Directed Graphs
In 2000 Alber et al. [SWAT 2000 ] obtained the first parameterized subexponential algorithm on undirected planar graphs by showing that k-DOMINATING SET is solvable in time 2O( ...
Frederic Dorn, Fedor V. Fomin, Daniel Lokshtanov, ...
SODA
2008
ACM
93views Algorithms» more  SODA 2008»
13 years 9 months ago
Minimum weight convex Steiner partitions
New tight bounds are presented on the minimum length of planar straight line graphs connecting n given points in the plane and having convex faces. Specifically, we show that the ...
Adrian Dumitrescu, Csaba D. Tóth
ISAAC
2004
Springer
137views Algorithms» more  ISAAC 2004»
14 years 25 days ago
The Polymatroid Steiner Problems
The Steiner tree problem asks for a minimum cost tree spanning a given set of terminals S ⊆ V in a weighted graph G = (V, E, c), c : E → R+ . In this paper we consider a genera...
Gruia Calinescu, Alexander Zelikovsky
COCOA
2009
Springer
14 years 3 days ago
On Open Rectangle-of-Influence Drawings of Planar Graphs
: Under water sensor network is an important research direction in computer science. There are many interesting optimization problems regarding its design, routing and applications...
Huaming Zhang, Milind Vaidya