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Random super network construction method

A construction method and supernetwork technology, applied in the field of electrical digital data processing, can solve the problems that cannot fully reflect the various characteristics of the real supernetwork

Inactive Publication Date: 2014-11-05
SOUTHWEST JIAOTONG UNIV
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  • Description
  • Claims
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Problems solved by technology

[0013] Generally speaking, the research on the characteristics of supernetworks is still a hot spot in the field of supernetwork research. Research methods based on system science have relatively mature theories and methods, and most of the research is consistent with real hypernetworks, but they still cannot fully reflect the various characteristics of real hypernetworks in real life. item property

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  • Random super network construction method
  • Random super network construction method
  • Random super network construction method

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Embodiment Construction

[0082] A method for constructing a random hypernetwork, comprising the steps of:

[0083] (1) Determine to generate the supernetwork set U H ={H 1 , H 2 , H 3 ,...,H i ,...};

[0084] (2) Calculation and generation of supernetwork set U H All hypernetworks in H i The adjacency matrix A(H i ), to get the generated supernetwork set U H The adjacency matrix set U A(H) ={A(H 1 ), A(H 2 ), A(H 3 ),…, A(H i ),...}:

[0085] In generating the hypernetwork set U H , for any generating hypernetwork H with n vertices and m hyperedges (i.e. m nodes, the same below), its adjacency matrix is ​​the n×m matrix A(H) n×m , where for each data in the matrix, if vertex i is in hyperedge j (ie node j, the same below), then A(H)(i,j)=1, otherwise, A(H)(i, j)=0, since A(H) n×m Each column of represents a hyperedge, and A(H) can be n×m Treat it as m n×1 block matrix A(H) n×1 A combination of:

[0086] A(H) n×m =[A(H) 11 A(H) 12 A(H) 13 ...A(H) 1i ...A(H) 1(m－1) A(H) 1m ] ...

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Abstract

The invention discloses a random super network construction method based on Tracy-Singh and the operation of a plurality of simple hypergraph adjacency matrixes. The super network construction method comprises the following main steps: determing to generate a super network set; calculating to generate a super network adjacency matrix set; calculating to generate a super network node degree distribution polynomial set; calculating to generate a super network node extra degree distribution polynomial set; calculating to generate a super network extra edge degree distribution polynomial set; calculating the adjacency matrix of a super network; calculating a random super network node degree distribution polynomial; calculating a random super network node extra degree distribution polynomial; and calculating a random super network extra edge degree distribution polynomial. The random super network node degree distribution, the node extra degree distribution and the extra edge degree distribution constructed by the invention are in normal distribution and have the characteristics of the random super network, and the invention has substance that a linear combination of the node degree distribution, the node extra degree distribution and the extra edge degree distribution in a super network normal distribution form is generated.

Description

technical field [0001] The invention belongs to the field of electrical digital data processing, and is particularly suitable for a data processing method with a specific function, and in particular relates to a supernetwork construction method based on a plurality of Tracy-Singh product operations for simply generating supernetwork adjacency matrices. Background technique [0002] In real life, ordinary graphs or networks cannot fully describe the characteristics of real-world networks, although network models such as random networks, small-world networks, scale-free networks, and self-similar networks have made great achievements in describing and analyzing real complex networks. Huge success. When studying very large-scale network systems, the problem of networks within networks often arises. In these cases, compared with complex networks, hypernetworks can more perfectly describe complex systems in real life. Research methods on hypernetworks mainly focus on four aspect...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
Inventor 李天瑞刘胜久杨燕陈红梅
Owner SOUTHWEST JIAOTONG UNIV
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