most citedGeographical threshold graphs with small-world and scale-free properties

97 citations · 416 across the 8 of their papers we have counts for

collaborators

8 papers

math.PR200510 cited

Rigorous results on the threshold network model

Norio Konno, Naoki Masuda, Rahul Roy +1

We analyze the threshold network model in which a pair of vertices with random weights are connected by an edge when the summation of the weights exceeds a threshold. We prove some…

cond-mat.dis-nn200586 cited

Multi-state epidemic processes on complex networks

Naoki Masuda, Norio Konno

Infectious diseases are practically represented by models with multiple states and complex transition rules corresponding to, for example, birth, death, infection, recovery, diseas…

cond-mat.dis-nn200546 cited

VIP-club phenomenon: emergence of elites and masterminds in social networks

Naoki Masuda, Norio Konno

Hubs, or vertices with large degrees, play massive roles in, for example, epidemic dynamics, innovation diffusion, and synchronization on networks. However, costs of owning edges c…

cond-mat.dis-nn200497 cited

Geographical threshold graphs with small-world and scale-free properties

Naoki Masuda, Hiroyoshi Miwa, Norio Konno

Many real networks are equipped with short diameters, high clustering, and power-law degree distributions. With preferential attachment and network growth, the model by Barabasi an…

cond-mat.stat-mech200420 cited

Subcritical behavior in the alternating supercritical Domany-Kinzel dynamics

Naoki Masuda, Norio Konno

Cellular automata are widely used to model real-world dynamics. We show using the Domany-Kinzel probabilistic cellular automata that alternating two supercritical dynamics can resu…

cond-mat.other200449 cited

Analysis of scale-free networks based on a threshold graph with intrinsic vertex weights

Naoki Masuda, Hiroyoshi Miwa, Norio Konno

Many real networks are complex and have power-law vertex degree distribution, short diameter, and high clustering. We analyze the network model based on thresholding of the summed…