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Volumn 73, Issue 3, 2006, Pages

Inhomogeneous substructures hidden in random networks

Author keywords

[No Author keywords available]

Indexed keywords

LOAD-BASED SPANNING TREE (LST); SHORTEST PATH;

EID: 33644927279     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.037102     Document Type: Article
Times cited : (2)

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    • We break up the pairs of the edges and their weights, and randomly reassign the weights to the edges.
    • We break up the pairs of the edges and their weights, and randomly reassign the weights to the edges.
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    • The value of p at which kmax starts to increase varies with the network size N, where we cannot find any size scaling relation or universal feature.
    • The value of p at which kmax starts to increase varies with the network size N, where we cannot find any size scaling relation or universal feature.
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    • The extreme case of p=1.0 is out of our interest because every edge has exactly same EBC and there is no inhomogeneity in the case of the perfectly fully connected network, in which any structure of an LST is possible, from a starlike one to a homogeneous one.
    • The extreme case of p=1.0 is out of our interest because every edge has exactly same EBC and there is no inhomogeneity in the case of the perfectly fully connected network, in which any structure of an LST is possible, from a starlike one to a homogeneous one.
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