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DCG
2006
110views more  DCG 2006»
13 years 7 months ago
High-Dimensional Centrally Symmetric Polytopes with Neighborliness Proportional to Dimension
Let A be a d by n matrix, d < n. Let C be the regular cross polytope (octahedron) in Rn . It has recently been shown that properties of the centrosymmetric polytope P = AC are ...
David L. Donoho
BMCBI
2010
143views more  BMCBI 2010»
13 years 7 months ago
An efficient biological pathway layout algorithm combining grid-layout and spring embedder for complicated cellular location inf
Background: Graph drawing is one of the important techniques for understanding biological regulations in a cell or among cells at the pathway level. Among many available layout al...
Kaname Kojima, Masao Nagasaki, Satoru Miyano
FOCS
2006
IEEE
14 years 1 months ago
On a Geometric Generalization of the Upper Bound Theorem
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
Uli Wagner
RIVF
2003
13 years 8 months ago
Airspace Sectorization By Constraint Programming
—In this paper we consider the Airspace Sectorization Problem (ASP) where airspace has to be partitioned into a number of sectors, each sector being assigned to a team of air tra...
Huy Trandac, Philippe Baptiste, Vu Duong
INFOVIS
2005
IEEE
14 years 1 months ago
Flow Map Layout
Cartographers have long used flow maps to show the movement of objects from one location to another, such as the number of people in a migration, the amount of goods being traded,...
Doantam Phan, Ling Xiao, Ron B. Yeh, Pat Hanrahan,...