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Feb 18, 2010
Physics and Society

$p$-th Clustering coefficients and $q$-$th$ degrees of separation bas…

The phenomenon of six degrees of separation is an old but attractive subject. The deep understanding has been uncovered yet, especially how closed pa…
Aug 08, 2018
Physics and Society

Cooperation in Evolutionary Public Goods Game on Complex Networks wit…

The evolution of cooperation among unrelated individuals in human and animal societies remains a challenging issue across disciplines. It is an impor…
Sep 30, 2011
Physics and Society
Social and Information Networks

Separation Number and Generalized Clustering Coefficient in Small Wor…

We reformulated the string formalism given by Aoyama, using an adjacent matrix of a network and introduced a series of generalized clustering coeffic…
Oct 20, 2010
Social and Information Networks
Physics and Society

Generalized Clustering Coefficients and Milgram Condition for q-th …

We introduce a series of generalized clustering coefficients based on String formalism given by Aoyama, using adjacent matrix in networks. We numeric…
Aug 07, 2014

Expectation values of flavor-neutrino numbers with respect to neutr…

On the basis of quantum field theory, we consider a unified description of various processes accompanied by neutrinos, namely weak decays and oscilla…
May 29, 2009
Physics and Society

Comments on Six Degrees of Separation based on the le Pool and Kochen…

In this article we discuss six degrees of separation, which has been suggested by Milgram's famous experiment\cite{Milg},\cite{Milg2}, from a theoret…
Jun 13, 2012
Physics and Society
Social and Information Networks

Effect of Closed Paths in Complex networks on Six Degrees of Separati…

Milgram Condition proposed by Aoyama et al. plays an important role on the analysis of "six degrees of separation". We have shown that the relations …
Apr 08, 2013
Physics and Society
Social and Information Networks

Braess like Paradox in a Small World Network

Braess \cite{1} has been studied about a traffic flow on a diamond type network and found that introducing new edges to the networks always does not …
Dec 12, 2014
Mathematical Physics

The Effect of Network-Topology to Propagation on Networks

We study the effect of the network topology to propagation phenomena on networks in this article. We do not assume any propagation model such as the …
Apr 03, 2018
Cellular Automata and Lattice Gases

A study of Inverse Ultra-discretization of cellular automata

In this article, I propose a systematic method for the inverse ultra-discretization of cell automata using a functionally complete operation. We deri…
Mar 17, 2008
Data Analysis
Statistics and Probability
Physics and Society

Some Considerations on Six Degrees of Separation from A Theoretical …

In this article we discuss six degrees of separation, which has been proposed by Milgram, from a theoretical point of view. Simply if one has $k$ fri…
Dec 15, 2009
Physics and Society
General Physics

$p$-th Clustering coefficients $C_{p}$ and Adjacent Matrix for Networ…

The phenomenon of six degrees of separation is an old but interesting problem. The considerations of the clustering coefficient reflecting triangular…
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