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BMCBI
2011
14 years 11 months ago
Hierarchical graphs for rule-based modeling of biochemical systems
Background: In rule-based modeling, graphs are used to represent molecules: a colored vertex represents a component of a molecule, a vertex attribute represents the internal state...
Nathan W. Lemons, Bin Hu, William S. Hlavacek
ORL
2006
103views more  ORL 2006»
15 years 4 months ago
Reduction tests for the prize-collecting Steiner problem
This article introduces a proper redefinition of the concept of bottleneck Steiner distance for the Prize-Collecting Steiner Problem. This allows the application of reduction test...
Eduardo Uchoa
JGT
2007
85views more  JGT 2007»
15 years 4 months ago
Between ends and fibers
Let Γ be an infinite, locally finite, connected graph with distance function δ. Given a ray P in Γ and a constant C ≥ 1, a vertex-sequence {xn}∞ n=0 ⊆ V P is said to be...
C. Paul Bonnington, R. Bruce Richter, Mark E. Watk...
ESA
2000
Springer
104views Algorithms» more  ESA 2000»
15 years 8 months ago
Efficient Algorithms for Centers and Medians in Interval and Circular-Arc Graphs
The p-center problem is to locate p facilities on a network so as to minimize the largest distance from a demand point to its nearest facility. The p-median problem is to locate p ...
Sergei Bespamyatnikh, Binay K. Bhattacharya, J. Ma...
APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
15 years 11 months ago
Hierarchy Theorems for Property Testing
Referring to the query complexity of property testing, we prove the existence of a rich hierarchy of corresponding complexity classes. That is, for any relevant function q, we prov...
Oded Goldreich, Michael Krivelevich, Ilan Newman, ...