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Volumn 68, Issue 5 2, 2003, Pages 561071-5610712

Network bipartivity

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; DISEASE CONTROL; ECOSYSTEMS; GRAPH THEORY; INTERPOLATION; MATHEMATICAL MODELS; PROBLEM SOLVING; PROFESSIONAL ASPECTS; SOCIAL ASPECTS;

EID: 0942300164     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (123)

References (67)
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    • See, e.g., M. Gitterman, J. Phys. A 33, 8373 (2000); P. Svenson, Phys. Rev. E 64, 036122 (2001); B.J. Kim, H. Hong, P. Holme, G.S. Jeon, P. Minnhagen, and M.Y. Choi, ibid. 64, 056135 (2001); C.P. Herrero, ibid. 65, 066110 (2002); A. Aleksiejuk, J.A. Holyst, and D. Stauffer, Physica A 310, 260 (2002); D. Boyer and O. Miramontes, Phys. Rev. E 67, 035102 (2003); K. Medvedyeva, P. Holme, P. Minnhagen, and B.J. Kim, ibid. 67, 036118 (2003); G. Bianconi, Phys. Lett. A 303, 166 (2002); A. Aleksiejuk-Fronczak, e-print cond-mat/0206027.
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    • note
    • Note that our starting point is that there are no known attributes to the vertices. If one would know, e.g., the gender of the actors in a social network, the fraction of edges between actors of the same gender is in the interval [0,1].
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    • n̄-2.
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    • N/2,N/2.
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    • 1 = 0. We will not speculate in the reason for this since the effect is small and the overall picture is clear.
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    • 2 on the two-core (the maximal subgraph with minimal degree 2) of G. This would eliminate circuit-free subgraphs that contain no information about the degree of heterophilous preference among the agents forming the network.
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    • note
    • N the contribution of circuits of length i to the sum is i times the number of them, this gives Eq. (A1a).


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