Fuzzy communities and the concept of bridgeness in complex networks

T Nepusz, A Petróczi, L Négyessy, F Bazsó - Physical Review E—Statistical …, 2008 - APS
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 …

Three dimensions of scientific impact

G Siudem, B Żogała-Siudem, A Cena… - Proceedings of the …, 2020 - National Acad Sciences
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 …

Clique densification in networks

H Pi, K Burghardt, AG Percus, K Lerman - Physical Review E, 2023 - APS
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 …

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 …

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 …

Activation clustering in neural and social networks

M Puljic, R Kozma - Complexity, 2005 - Wiley Online Library
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 …

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 …

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 …

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 …

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 …