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BMCBI
2010
143views more  BMCBI 2010»
13 years 6 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
ALGORITHMICA
2010
127views more  ALGORITHMICA 2010»
13 years 6 months ago
An Algorithm for Minimum Cost Arc-Connectivity Orientations
Given a 2k-edge-connected undirected graph, we consider to find a minimum cost orientation that yields a k-arc-connected directed graph. This minimum cost k-arc-connected orientat...
Satoru Iwata, Yusuke Kobayashi
DCG
2006
110views more  DCG 2006»
13 years 6 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
GD
2006
Springer
13 years 10 months ago
Planarity Testing and Optimal Edge Insertion with Embedding Constraints
The planarization method has proven to be successful in graph drawing. The output, a combinatorial planar embedding of the so-called planarized graph, can be combined with state-o...
Carsten Gutwenger, Karsten Klein, Petra Mutzel
FOCS
2006
IEEE
14 years 25 days 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