Fuzzy communities and the concept of bridgeness in complex networks
We consider the problem of fuzzy community detection in networks, which complements and
expands the concept of overlapping community structure. Our approach allows each vertex …
expands the concept of overlapping community structure. Our approach allows each vertex …
Three dimensions of scientific impact
The growing popularity of bibliometric indexes (whose most famous example is the h index
by JE Hirsch [JE Hirsch, Proc. Natl. Acad. Sci. USA 102, 16569–16572 (2005)]) is opposed …
by JE Hirsch [JE Hirsch, Proc. Natl. Acad. Sci. USA 102, 16569–16572 (2005)]) is opposed …
Clique densification in networks
Real-world networks are rarely static. Recently, there has been increasing interest in both
network growth and network densification, in which the number of edges scales …
network growth and network densification, in which the number of edges scales …
Universal properties of growing networks
PL Krapivsky, B Derrida - Physica A: Statistical Mechanics and its …, 2004 - Elsevier
Networks growing according to the rule that every new node has a probability pk of being
attached to k preexisting nodes, have a universal phase diagram and exhibit power-law …
attached to k preexisting nodes, have a universal phase diagram and exhibit power-law …
Generating-function approach for bond percolation in hierarchical networks
T Hasegawa, M Sato, K Nemoto - … Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
We study bond percolations on hierarchical scale-free networks with the open bond
probability of the shortcuts p ̃ and that of the ordinary bonds p. The system has a critical …
probability of the shortcuts p ̃ and that of the ordinary bonds p. The system has a critical …
Activation clustering in neural and social networks
Questions related to the evolution of the structure of networks have received recently a lot of
attention in the literature. But what is the state of the network given its structure? For …
attention in the literature. But what is the state of the network given its structure? For …
Hierarchical scale-free network is fragile against random failure
T Hasegawa, K Nemoto - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
We investigate site percolation in a hierarchical scale-free network known as the
Dorogovtsev-Goltsev-Mendes network. We use the generating function method to show that …
Dorogovtsev-Goltsev-Mendes network. We use the generating function method to show that …
Profile and scaling of the fractal exponent of percolations in complex networks
T Hasegawa, T Nogawa, K Nemoto - Europhysics Letters, 2013 - iopscience.iop.org
We propose a novel finite-size scaling analysis for percolation transition observed in
complex networks. While it is known that cooperative systems in growing networks often …
complex networks. While it is known that cooperative systems in growing networks often …
Critical phase of bond percolation on growing networks
T Hasegawa, K Nemoto - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
The critical phase of bond percolation on the random growing tree is examined. It is shown
that the root cluster grows with the system size N as N ψ and the mean number of clusters …
that the root cluster grows with the system size N as N ψ and the mean number of clusters …
Absence of the nonpercolating phase for percolation on the nonplanar Hanoi network
T Hasegawa, T Nogawa - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
We investigate bond percolation on the nonplanar Hanoi network (HN-NP), which was
studied previously [Boettcher Phys. Rev. E 80, 041115 (2009) PLEEE8 1539-3755 …
studied previously [Boettcher Phys. Rev. E 80, 041115 (2009) PLEEE8 1539-3755 …