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» The Complexity of Graph Connectivity
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IPL
2010
111views more  IPL 2010»
13 years 8 months ago
Connecting face hitting sets in planar graphs
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...
Pascal Schweitzer, Patrick Schweitzer
FOCS
2008
IEEE
14 years 4 months ago
Dynamic Connectivity: Connecting to Networks and Geometry
Dynamic connectivity is a well-studied problem, but so far the most compelling progress has been confined to the edge-update model: maintain an understanding of connectivity in a...
Timothy M. Chan, Mihai Patrascu, Liam Roditty
CORR
2010
Springer
180views Education» more  CORR 2010»
13 years 7 months ago
Shortest path problem in rectangular complexes of global nonpositive curvature
Abstract. CAT(0) metric spaces constitute a far-reaching common generalization of Euclidean and hyperbolic spaces and simple polygons: any two points x and y of a CAT(0) metric spa...
Victor Chepoi, Daniela Maftuleac
BMCBI
2005
156views more  BMCBI 2005»
13 years 10 months ago
A new dynamical layout algorithm for complex biochemical reaction networks
Background: To study complex biochemical reaction networks in living cells researchers more and more rely on databases and computational methods. In order to facilitate computatio...
Katja Wegner, Ursula Kummer
VVS
1998
IEEE
106views Visualization» more  VVS 1998»
14 years 2 months ago
An Exact Interactive Time Visibility Ordering Algorithm for Polyhedral Cell Complexes
A visibility ordering of a set of objects, from a given viewpoint, is a total order on the objects such that if object a obstructs object b, then b precedes a in the ordering. Suc...
Cláudio T. Silva, Joseph S. B. Mitchell, Pe...