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- Norihito Toyota
- ArXiv
- 2010

We introduce a series of generalized clustering coefficients based on String formalism given by Aoyama, using adjacent matrix in networks. We numerically evaluate Milgram condition proposed in order to explore q-th degrees of separation in scale free networks and small world networks. We find that scale free network with exponent 3 just shows 6-degrees of… (More)

- Norihito Toyota
- ArXiv
- 2012

Parrondo’s paradox occurs in sequences of games in which a winning expectation may be obtained by playing the games in a random order, even though each game in the sequence may be lost when played individually. Several variations of Parrondo’s games apparently with paradoxical property have been introduced; history dependence, one dimensional line, two… (More)

- Norihito Toyota
- ArXiv
- 2012

Parrondo’s paradox occurs in sequences of games in which a winning expectation may be obtained by playing the games in a random order, even though each game in the sequence may be lost when played individually. Several variations of Parrondo’s games with paradoxical property have been introduced. In this paper, I examine whether Parrondo’s paradox occurs or… (More)

- Norihito Toyota
- ArXiv
- 2012

Milgram Condition proposed by Aoyama et al. [11] plays an important role on the analysis of ”six degrees of separation”. We have shown[16], [17] that the relations between Milgram condition and the generalized clustering coefficient, which was introduced as an index for measuring the number of closed paths by us[6]-[10], are absolutely different in scale… (More)

Expectation values of flavor-neutrino numbers with respect to neutrino-source hadron states: Neutrino oscillations and decay probabilities Kanji Fujii1,∗ and Norihito Toyota2,∗† 1Department of Physics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan 2Faculty of Business Administration and Information Science, Hokkaido Information… (More)

- Norihito Toyota
- ArXiv
- 2013

Braess [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 achieve the efficiency. Some researchers studied the Braess’ paradox in similar type networks by introducing various types of cost functions. But whether such paradox occurs or not is not scarcely studied in complex… (More)

- Norihito Toyota
- 2008

We have proposed two new dynamic networks where two node are swapped each other, and showed that the both networks behave as a small world like in the average path length but can not make any effective discussions on the clustering coefficient because of the topological invariant properties of the networks. In this article we introduce a new index, ”hamming… (More)

- Norihito Toyota
- ArXiv
- 2012

Parrondo’s paradox occurs in sequences of games in which a winning expectation value of a payoff may be obtained by playing two games in a random order, even though each game in the sequence may be lost when played individually. Several variations of Parrondo’s games apparently with the same paradoxical property have been introduced [5]; history dependence,… (More)

Main features of the induced gauge field in the confining potential approach to constrained system are summarized. The relation of this approach to the coset space approach is mentioned. Properties of the induced gauge field coming from W-Z-W term in SU(3) Skyrme– Witten model is examined.

- Norihito Toyota
- 2008

In this article we discuss network growth based on Prisoner’s Dilemma Game(PDG) where palyers on nodes in a network palay with its linked players. The players estimate total profits according to the payoff matrix of the PDG. When a new node is attached to the network, the node make linkes to nodes in the network with the probabilities in proportion to the… (More)