Title
Inter-layer Degree Correlations in Heterogeneously Growing Multiplex Networks
Abstract
The multiplex network growth literature has been confined to homogeneous growth hitherto, where the number of links that each new incoming node establishes is the same across layers. This paper focuses on heterogeneous growth in a simple two-layer setting. We first analyze the case of two preferentially growing layers and find a closed-form expression for the inter-layer degree distribution, and demonstrate that non-trivial inter-layer degree correlations emerge in the steady state. Then we focus on the case of uniform growth. We observe that inter-layer correlations arise in the random case, too. Also, we observe that the expression for the average layer-2 degree of nodes whose layer-1 degree is k, is identical for the uniform and preferential schemes. Throughout, theoretical predictions are corroborated using Monte Carlo simulations.
Year
DOI
Venue
2015
10.1007/978-3-319-16112-9_16
Studies in Computational Intelligence
Field
DocType
Volume
Combinatorics,Monte Carlo method,Homogeneous,Multiplex,Degree distribution,Steady state,Mathematics,Preferential attachment
Conference
597.0
ISSN
Citations 
PageRank 
1860-949X
0
0.34
References 
Authors
7
2
Name
Order
Citations
PageRank
Babak Fotouhi112.75
Naghmeh Momeni243.87