Message-ID: <1852541197.253.1611609946507.JavaMail.root@wiki.cns.iu.edu> Subject: Exported From Confluence MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_Part_252_957251571.1611609946506" ------=_Part_252_957251571.1611609946506 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable Content-Location: file:///C:/exported.html Node Degree

# Node Degree

###### Description
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The degree of a node is the number of edges that are adjacent t= o the node. The algorithm determines the degree of all nodes (degree sequen= ce), which will be listed in the output file.

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###### Pros & Cons
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The network to analyze must be undirected, otherwise there are no specia= l constraints.

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###### Applications
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Basic analysis tool, not particular for special disciplines or problems.=

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###### Implementation Details<= /strong>
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The algorithm requires only one input, the file where the edges of the n= etwork are listed. A first read-in of the inputfile will set the values of = the number of nodes and edges of the network. In the second read-in the deg= rees of all nodes will be calculated. The program runs in a time O(m), m be= ing the number of edges of the network.

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###### Usage Hints
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A simple application of this algorithm could be to calculate the degree = sequence of networks created by the modeling algorithms of the NWB. For ins= tance, the inputfile can be created through the Barabasi-Albert model.

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###### References
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Bollobas, B. (2002) Modern Graph Theory. Springer Verlag, New York.

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Albert, R., and Barabasi, A.-L. (2002) Statistical mechanics of complex networks. Review of Modern Phys= ics 74:47-97.

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Newman, M.E.J. (2003) Th= e structure and function of complex networks. SIAM Review 45:167-256.=20

Pastor-Satorras, R., Vespignani, A. (2004) Evolution and Structure of th= e Internet. Cambridge University Press.

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Boccaletti, S., Latora, V., Moreno, Y.,Chavez, M., Hwang, D.-U. (2006) <= a href=3D"http://www.ct.infn.it/%7Elatora/report_06.pdf" class=3D"external-= link" rel=3D"nofollow">Complex networks: Structure and dynamics. Physic= s Reports 424: 175-308.

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