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COMPGEOM
2007
ACM
14 years 1 months ago
An optimal generalization of the centerpoint theorem, and its extensions
We prove an optimal generalization of the centerpoint theorem: given a set P of n points in the plane, there exist two points (not necessarily among input points) that hit all con...
Saurabh Ray, Nabil H. Mustafa
AB
2008
Springer
13 years 11 months ago
The Geometry of the Neighbor-Joining Algorithm for Small Trees
In 2007, Eickmeyer et al. showed that the tree topologies outputted by the Neighbor-Joining (NJ) algorithm and the balanced minimum evolution (BME) method for phylogenetic reconstr...
Kord Eickmeyer, Ruriko Yoshida
JCB
2008
144views more  JCB 2008»
13 years 9 months ago
Multi-Break Rearrangements and Breakpoint Re-Uses: From Circular to Linear Genomes
Multi-break rearrangements break a genome into multiple fragments and further glue them together in a new order. While 2-break rearrangements represent standard reversals, fusions...
Max A. Alekseyev
IJAC
2010
231views more  IJAC 2010»
13 years 7 months ago
Descriptive Complexity of Finite Abelian Groups
Title of dissertation: MODEL THEORY AND COMPLEXITY THEORY Walid Gomaa Doctor of Philosophy, 2007 Dissertation directed by: Professor William Gasarch Department of Computer Science...
Walid Gomaa
ALGORITHMICA
2007
117views more  ALGORITHMICA 2007»
13 years 10 months ago
Random Geometric Graph Diameter in the Unit Ball
The unit ball random geometric graph G = Gd p(λ, n) has as its vertices n points distributed independently and uniformly in the unit ball in Rd, with two vertices adjacent if and ...
Robert B. Ellis, Jeremy L. Martin, Catherine H. Ya...