Results 21 to 30 of about 39,180 (271)

Phase transition in random intersection graphs with communities [PDF]

open access: yes, 2021
The “random intersection graph with communities” (RIGC) models networks with communities, assuming an underlying bipartite structure of groups and individuals.
van der Hofstad, Remco; id_orcid   +10 more
core   +1 more source

Mean Hitting Time for Random Walks on a Class of Sparse Networks

open access: yesEntropy, 2021
For random walks on a complex network, the configuration of a network that provides optimal or suboptimal navigation efficiency is meaningful research. It has been proven that a complete graph has the exact minimal mean hitting time, which grows linearly
Jing Su, Xiaomin Wang, Bing Yao
doaj   +1 more source

Configuration Models as an Urn Problem: The Generalized Hypergeometric Ensemble of Random Graphs [PDF]

open access: yes, 2021
Abstract A fundamental issue of network data science is the ability to discern observed features that can be expected at random from those beyond such expectations. Configuration models play a crucial role there, allowing us to compare observations against degree-corrected null-models. Nonetheless, existing formulations have limited large-scale
Giona Casiraghi, Vahan Nanumyan
openaire   +1 more source

On limit distributions of vertex degrees in a configuration graph

open access: yesTransactions of the Karelian Research Centre of the Russian Academy of Sciences, 2015
The configuration graph where vertex degrees are independent identically distributed random variables is often used for  models of complex networks such as the Internet. We consider a random graph consisting of   N+1 vertices.
Irina Cheplyukova
doaj   +1 more source

ON THE MAXIMUM OF THE MODULARITY OF RANDOM CONFIGURATION GRAPHS

open access: yesTransactions of the Karelian Research Centre of the Russian Academy of Sciences, 2019
Configuration graphs with random independent identically distributed vertex degrees are considered. The degrees are equal to the number of vertex semiedges that are numbered in an arbitrary order.
Yury Pavlov
doaj   +1 more source

On clustering of conditional configuration graphs

open access: yesTransactions of the Karelian Research Centre of the Russian Academy of Sciences, 2018
We consider configuration graphs with N vertices. The degrees of the vertices are independent identically distributed limited random variables. They are equal to the number of vertex semiedges that are numbered in an arbitrary order.
Yury Pavlov
doaj   +1 more source

Limit distributions of the number of vertices with given degree in a conditional configuration graph

open access: yesTransactions of the Karelian Research Centre of the Russian Academy of Sciences, 2016
We consider configuration graphs with N vertices. The degrees of the vertices are independent identically distributed random variables according to power-law distribution. Node degrees form semiedges that are numbered in an arbitrary order.
Yury Pavlov
doaj   +1 more source

The structure of a configuration graph with a normally distributed parameter of the power series distribution of vertex degrees

open access: yesTransactions of the Karelian Research Centre of the Russian Academy of Sciences, 2018
We consider configuration graphs with N vertices. The degrees of the vertices are independent random variables identically distributed according to the power law, with a positive parameter τ .
Yury Pavlov
doaj   +1 more source

Random multilinear maps and the Erdős box problem

open access: yesDiscrete Analysis, 2021
Random multilinear maps and the Erdős box problem, Discrete Analysis 2021:17, 8 pp. A major theme in extremal combinatorics is determining the maximum number of edges that a graph or hypergraph can have if it does not contain a certain fixed graph or ...
David Conlon   +2 more
doaj   +1 more source

Limit distributions of vertex degrees in a conditional configuration graph

open access: yesTransactions of the Karelian Research Centre of the Russian Academy of Sciences, 2018
The configuration graph where vertex degrees are independent identically distributed random variables is often used for  modeling of complex networks such as the Internet. We consider a random graph consisting of   N vertices.
Irina Chepliukova, Yuri Pavlov
doaj   +1 more source

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