What is an appropriate ensemble of random networks null model Random Networks

What is an appropriate ensemble of random networks

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What is an appropriate ensemble of random networks? (null model)
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Random Networks Occurrence of motifs depend strongly on network topology. What is an appropriate ensemble of random networks? (null model)
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Random Networks One parameter governing occurrence of motifs is degree distribution.
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Preserving Degree Distribution How to sample a graph with the same degree sequence? Method of Newman, Strogatz and Watts (2001) 1.Assign indegree i ( v ) and outdegree o ( v ) to vertex v according to degree sequence. 2.Randomly pair o ( v ) and i ( w ).
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Network Motifs Transcriptional regulatory network of E. coli: 116 transcription factors ~700 “genes” (operons) 577 interactions. Shen-Orr et al. 2002
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E. coli Network Motifs Shen-Orr et al. 2002 Enumerated all 3 and 4 node motifs. Looked for identical rows in adjacency matrix (SIM) Used clustering algorithm to identify DOR.
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Importance of Network Motifs Building block of networks.
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