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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
IJCM
2002
92views more  IJCM 2002»
13 years 7 months ago
Random-tree Diameter and the Diameter-constrained MST
A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to...
Ayman Abdalla, Narsingh Deo
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
13 years 11 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
COMGEO
2010
ACM
13 years 7 months ago
Pointed binary encompassing trees: Simple and optimal
For n disjoint line segments in the plane we construct in optimal O(n log n) time and linear space an encompassing tree of maximum degree three such that at every vertex all incid...
Michael Hoffmann, Bettina Speckmann, Csaba D. T&oa...
ESA
1998
Springer
154views Algorithms» more  ESA 1998»
13 years 11 months ago
A Functional Approach to External Graph Algorithms
We present a new approach for designing external graph algorithms and use it to design simple, deterministic and randomized external algorithms for computing connected components, ...
James Abello, Adam L. Buchsbaum, Jeffery Westbrook