scholarly journals Discrete potential theory for iterated maps of the interval

2019 ◽  
Author(s):  
C. Correia Ramos ◽  
Nuno Martins ◽  
J. Sousa Ramos ◽  
Ricardo Severino
Keyword(s):  
Potential Theory ◽  
Iterated Maps ◽  
Discrete Potential Theory

Discrete potential theory

1953 ◽  
Vol 20 (2) ◽  
pp. 233-251 ◽  
Author(s):  
R. J. Duffin
Keyword(s):  
Potential Theory ◽  
Discrete Potential Theory

scholarly journals Semisupervised Community Detection by Voltage Drops

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Min Ji ◽  
Dawei Zhang ◽  
Fuding Xie ◽  
Ying Zhang ◽  
Yong Zhang ◽  
...  
Keyword(s):  
Machine Learning ◽  
Potential Theory ◽  
Community Detection ◽  
Detection Algorithm ◽  
Label Propagation ◽  
Machine Learning Methods ◽  
Voltage Drops ◽  
Discrete Potential Theory ◽  
Community Detection Algorithm ◽  
The Relationship

Many applications show that semisupervised community detection is one of the important topics and has attracted considerable attention in the study of complex network. In this paper, based on notion of voltage drops and discrete potential theory, a simple and fast semisupervised community detection algorithm is proposed. The label propagation through discrete potential transmission is accomplished by using voltage drops. The complexity of the proposal isOV+Efor the sparse network withVvertices andEedges. The obtained voltage value of a vertex can be reflected clearly in the relationship between the vertex and community. The experimental results on four real networks and three benchmarks indicate that the proposed algorithm is effective and flexible. Furthermore, this algorithm is easily applied to graph-based machine learning methods.

Discrete potential theory

1966 ◽  
Vol 7 (6) ◽  
pp. 1096-1104
Author(s):  
D. I. Shparo
Keyword(s):  
Potential Theory ◽  
Discrete Potential Theory

The Hexagonal Packing Lemma and Discrete Potential Theory

1990 ◽  
Vol 33 (2) ◽  
pp. 247-252 ◽  
Author(s):  
Dov Aharonov
Keyword(s):  
Rate Of Convergence ◽  
Potential Theory ◽  
Additional Condition ◽  
Hexagonal Packing ◽  
Discrete Potential Theory

AbstractOne of the questions concerning the Hexagonal Packing Lemma ([1], [3], [4]) is the rate of convergence of Sn. It was suggested in [3] and [4] that Sn = 0(1/n). In the following we prove this conjecture under the additional condition of some "nice" behaviour of the "circle function".

scholarly journals Notes on discrete potential theory

1961 ◽  
Vol 3 (1) ◽  
pp. 117-121 ◽  
Author(s):  
John G Kemeny ◽  
J.Laurie Snell
Keyword(s):  
Potential Theory ◽  
Discrete Potential Theory
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