Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Physics > Physics and Society

arXiv:1110.2825 (physics)
[Submitted on 13 Oct 2011 (v1), last revised 12 Mar 2012 (this version, v2)]

Title:Scaling of nestedness in complex networks

Authors:Deok-Sun Lee, Seong Eun Maeng, Jae Woo Lee
View PDF
Abstract:Nestedness characterizes the linkage pattern of networked systems, indicating the likelihood that a node is linked to the nodes linked to the nodes with larger degrees than it. Networks of mutualistic relationship between distinct groups of species in ecological communities exhibit such nestedness, which is known to support the network robustness. Despite such importance, quantitative characteristics of nestedness is little understood. Here we take graph-theoretic approach to derive the scaling properties of nestedness in various model networks. Our results show how the heterogeneous connectivity patterns enhance nestedness. Also we find that the nestedness of bipartite networks depend sensitively on the fraction of different types of nodes, causing nestedness to scale differently for nodes of different types.
Comments: 9 pages, 4 figures, final version
Subjects: Physics and Society (physics.soc-ph); Disordered Systems and Neural Networks (cond-mat.dis-nn); Social and Information Networks (cs.SI)
Cite as: arXiv:1110.2825 [physics.soc-ph]
  (or arXiv:1110.2825v2 [physics.soc-ph] for this version)
  https://doi.org/10.48550/arXiv.1110.2825
Journal reference: J. Korean Phys. Soc. 60, 648 (2012)
Related DOI: https://doi.org/10.3938/jkps.60.648

Submission history

From: Deok-Sun Lee [view email]
[v1] Thu, 13 Oct 2011 01:57:25 UTC (41 KB)
[v2] Mon, 12 Mar 2012 01:56:39 UTC (54 KB)
Full-text links:

Access Paper:

view license
Current browse context:
physics.soc-ph
< prev   |   next >
new | recent | 2011-10
Change to browse by:
cond-mat
cond-mat.dis-nn
cs
cs.SI
physics

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)