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» Proving theorems by reuse
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NA
2007
81views more  NA 2007»
13 years 9 months ago
Positive weight quadrature on the sphere and monotonicities of Jacobi polynomials
In 2000, Reimer proved that a positive weight quadrature rule on the unit sphere Sd ⊂ Rd+1 has the property of quadrature regularity. Hesse and Sloan used a related property, ca...
Paul C. Leopardi
GC
2010
Springer
13 years 8 months ago
Integer Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
Daniel C. Slilaty
IANDC
2010
91views more  IANDC 2010»
13 years 8 months ago
Functional interpretations of linear and intuitionistic logic
This article shows how different functional interpretations can be combined into what we term hybrid functional interpretations. These hybrid interpretations work on the setting o...
Paulo Oliva
JCT
2010
75views more  JCT 2010»
13 years 8 months ago
Hamiltonian degree sequences in digraphs
We show that for each η > 0 every digraph G of sufficiently large order n is Hamiltonian if its out- and indegree sequences d+ 1 ≤ · · · ≤ d+ n and d− 1 ≤ · · · ...
Daniela Kühn, Deryk Osthus, Andrew Treglown
TON
2010
101views more  TON 2010»
13 years 8 months ago
Deploying sensor networks with guaranteed fault tolerance
—We consider the problem of deploying or repairing a sensor network to guarantee a specified level of multi-path connectivity (k-connectivity) between all nodes. Such a guarante...
Jonathan Bredin, Erik D. Demaine, Mohammad Taghi H...