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Adjusting assortativity in complex networks

Published: 28 March 2014 Publication History

Abstract

Assortativity has been widely studied for understanding the structure and function of complex networks. Assortative is defined as an association of items with other items having similar characteristics. The research has shown that assortativity has a significant impact on many processes on networks, including information cascades, spreading, congestion relief, longevity, and epidemic thresholds. The degree distribution is also an important factor that affects some of these results. In this paper, we introduce a simple but effective method for adjusting a given network while preserving the degree distribution of the network and, if desired, the connectivity of the network. The algorithm is tested on both theoretical and real-world networks and is supported by detailed empirical results. We illustrate how changing assortativity affects some network properties. The method can be useful for researchers interested in the relationship of assortativity to network structures and the dynamics of processes on networks.

References

[1]
Jennifer Badham and Rob Stocker. The impact of network clustering and assortativity on epidemic behaviour. Theoretical population biology, 77(1):71--75, 2010.
[2]
Albert-László Barabási and Réka Albert. Emergence of scaling in random networks. science, 286(5439):509--512, 1999.
[3]
Marc Barthélemy, Alain Barrat, Romualdo Pastor-Satorras, and Alessandro Vespignani. Velocity and hierarchical spread of epidemic outbreaks in scale-free networks. Physical Review Letters, 92(17):178701, 2004.
[4]
Paolo Crucitti, Vito Latora, Massimo Marchiori, and Andrea Rapisarda. Efficiency of scale-free networks: error and attack tolerance. Physica A: Statistical Mechanics and its Applications, 320:622--642, 2003.
[5]
Gregorio D'Agostino, Antonio Scala, Vinko Zlatić, and Guido Caldarelli. Robustness and assortativity for diffusion-like processes in scale-free networks. EPL (Europhysics Letters), 97(6):68006, 2012.
[6]
Zoltán Dezső and Albert-László Barabási. Halting viruses in scale-free networks. Physical Review E, 65(5):055103, 2002.
[7]
Holger Ebel, Lutz-Ingo Mielsch, and Stefan Bornholdt. Scale-free topology of e-mail networks. arXiv preprint cond-mat/0201476, 2002.
[8]
Hawoong Jeong, Bálint Tombor, Réka Albert, Zoltan N Oltvai, and A-L Barabási. The large-scale organization of metabolic networks. Nature, 407(6804):651--654, 2000.
[9]
Robert M May and Alun L Lloyd. Infection dynamics on scale-free networks. Physical Review E, 64(6):066112, 2001.
[10]
Joel C Miller. Percolation and epidemics in random clustered networks. Physical Review E, 80(2):020901, 2009.
[11]
Yamir Moreno, Javier B Gómez, and Amalio F Pacheco. Epidemic incidence in correlated complex networks. Physical Review E, 68(3):035103, 2003.
[12]
Newman. http://www-personal.umich.edu/mejn/netdata/.
[13]
Mark EJ Newman. Finding community structure in networks using the eigenvectors of matrices. Physical review E, 74(3):036104, 2006.
[14]
M. E. J. Newman. Assortative mixing in networks. Physical Review Letters, 89(20):208701, 2002.
[15]
Pajek. http://pajek.imfm.si.
[16]
Romualdo Pastor-Satorras and Alessandro Vespignani. Epidemic spreading in scale-free networks. Physical review letters, 86(14):3200, 2001.
[17]
Romualdo Pastor-Satorras and Alessandro Vespignani. Epidemic dynamics in finite size scale-free networks. Physical Review E, 65(3):035108, 2002.
[18]
Joshua L Payne, Peter Sheridan Dodds, and Margaret J Eppstein. Information cascades on degree-correlated random networks. Physical Review E, 80(2):026125, 2009.
[19]
Sidney Redner. How popular is your paper? an empirical study of the citation distribution. The European Physical Journal B-Condensed Matter and Complex Systems, 4(2):131--134, 1998.
[20]
Francisco C Santos and Jorge M Pacheco. Scale-free networks provide a unifying framework for the emergence of cooperation. Physical Review Letters, 95(9):098104, 2005.
[21]
Brajendra K Singh and Neelima Gupte. Congestion and decongestion in a communication network. Physical Review E, 71(5):055103, 2005.
[22]
Zoltán Toroczkai and Kevin E Bassler. Network dynamics: Jamming is limited in scale-free systems. Nature, 428(6984):716--716, 2004.
[23]
Alexei Vazquez. Spreading dynamics on small-world networks with connectivity fluctuations and correlations. Physical Review E, 74(5):056101, 2006.
[24]
Xiao Fan Wang and Guanrong Chen. Synchronization in scale-free dynamical networks: robustness and fragility. Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on, 49(1):54--62, 2002.
[25]
Duncan J Watts and Steven H Strogatz. Collective dynamics of small-world networks. nature, 393(6684):440--442, 1998.
[26]
YI Wolf, G Karev, and EV Koonin. Scale-free networks in biology: new insights into the fundamentals of evolution? BioEssays: news and reviews in molecular, cellular and developmental biology, 24(2):105, 2002.
[27]
Liang Zhao, Kwangho Park, and Ying-Cheng Lai. Attack vulnerability of scale-free networks due to cascading breakdown. Physical review E, 70(3):035101, 2004.

Cited By

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  • (2023)A review on graph-based approaches for network security monitoring and botnet detectionInternational Journal of Information Security10.1007/s10207-023-00742-723:1(119-140)Online publication date: 30-Aug-2023
  • (2018)Stability of Local Information-Based Centrality Measurements Under Degree Preserving RandomizationsIntelligent Computing and Information and Communication10.1007/978-981-10-7245-1_39(395-403)Online publication date: 20-Jan-2018

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cover image ACM Other conferences
ACMSE '14: Proceedings of the 2014 ACM Southeast Conference
March 2014
265 pages
ISBN:9781450329231
DOI:10.1145/2638404
  • Conference Chair:
  • Ken Hoganson,
  • Program Chair:
  • Selena He
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 28 March 2014

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Author Tags

  1. assortativity
  2. complex networks
  3. connectivity
  4. degree distribution

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  • Research-article

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ACM SE '14
ACM SE '14: ACM Southeast Regional Conference 2014
March 28 - 29, 2014
Georgia, Kennesaw

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Overall Acceptance Rate 502 of 1,023 submissions, 49%

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Cited By

View all
  • (2023)A review on graph-based approaches for network security monitoring and botnet detectionInternational Journal of Information Security10.1007/s10207-023-00742-723:1(119-140)Online publication date: 30-Aug-2023
  • (2018)Stability of Local Information-Based Centrality Measurements Under Degree Preserving RandomizationsIntelligent Computing and Information and Communication10.1007/978-981-10-7245-1_39(395-403)Online publication date: 20-Jan-2018

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