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CAS
2008
118views more  CAS 2008»
14 years 12 months ago
A Novel Method for Measuring the Structural Information Content of Networks
In this paper we first present a novel approach to determine the structural information content (graph entropy) of a network represented by an undirected and connected graph. Such...
Matthias Dehmer
CORR
2010
Springer
115views Education» more  CORR 2010»
14 years 12 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
CORR
2010
Springer
51views Education» more  CORR 2010»
14 years 12 months ago
On ternary square-free circular words
Circular words are cyclically ordered finite sequences of letters. We give a computer-free proof of the following result by Currie: square-free circular words over the ternary alp...
Arseny M. Shur
SIAMCO
2010
114views more  SIAMCO 2010»
14 years 6 months ago
Discrete Carleman Estimates for Elliptic Operators in Arbitrary Dimension and Applications
In arbitrary dimension, we consider the semi-discrete elliptic operator -2 t + AM , where AM is a finite difference approximation of the operator - x((x) x). For this operator we d...
Franck Boyer, Florence Hubert, Jérôme...
SIAMDM
2010
89views more  SIAMDM 2010»
14 years 6 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang