NDLI: Sustainable growth in complex networks

Content Provider	EDP Sciences
Author	C. J. Tessone M. M. Geipel F. Schweitzer
Abstract	Based on the analysis of the dependency network in 18 Java projects, we develop a novel model of network growth which considers both preferential attachment and the addition of new nodes with a heterogeneous distribution of their initial degree, k_{0_{. Empirically we find that the cumulative distributions of initial and final degrees in the network follow power law behaviours: 1−P(k_{0_{)∝k_{0_{^{1−α^{, and 1−P(k)∝k^{1−γ^{, respectively. For the total number of links as a function of the network size, we find empirically K(N)∝N^{β^{, where β∊[1.25, 2] (for small N), while converging to β∼1 for large N. This indicates a transition from a growth regime with increasing network density towards a sustainable regime, which prevents a collapse due to ever increasing dependencies. Our theoretical framework allows us to predict relations between the exponents α, β, γ, which also link issues of software engineering and developer activity. These relations are verified by means of computer simulations and empirical investigations. They indicate that the growth of real Open Source Software networks occurs on the edge between two regimes, which are dominated either by the initial degree distribution of added nodes, or by the preferential attachment mechanism. Hence, the heterogeneous degree distribution of newly added nodes, found empirically, is essential to describe the laws of sustainable growth in networks.}}}}}}}}}}}}
Page Count	5
File Format	HTM / HTML PDF
ISSN	02955075
Alternate Webpage(s)	https://epljournal.edpsciences.org/articles/epl/abs/2011/23/epl14053/epl14053.html
e-ISSN	12864854
Issue Number	5
Journal	EPL
Volume Number	96
DOI	10.1209/0295-5075/96/58005
Language	English
Publisher	EPS, SIF, EDP Sciences and IOP Publishing
Publisher Date	2011-12-01
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	© EPLA, 2011
Subject Keyword	Networks and genealogical trees Fluctuation phenomena, random processes, noise, and Brownian motion Computer science and technology
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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