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CAS
2008
118views more  CAS 2008»
13 years 9 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»
13 years 9 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»
13 years 9 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»
13 years 4 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»
13 years 4 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