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Volume 14 Issue 2
Oct.  2021
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Article Contents
Huang Ruji. Hypergraph Synthesis Method for Directed Fundamental Cutset Matrices[J]. Chinese Journal of Engineering, 1992, 14(2): 185-193. doi: 10.13374/j.issn1001-053x.1992.02.011
Citation: Huang Ruji. Hypergraph Synthesis Method for Directed Fundamental Cutset Matrices[J]. Chinese Journal of Engineering, 1992, 14(2): 185-193. doi: 10.13374/j.issn1001-053x.1992.02.011

Hypergraph Synthesis Method for Directed Fundamental Cutset Matrices

doi: 10.13374/j.issn1001-053x.1992.02.011
  • Received Date: 1991-11-25
    Available Online: 2021-10-16
  • By applying hypergraph theory, Algorithm RFCMHGT is presented for determing the realizability of a given directed fundamental cutset matrix Qf and synthesizing its corresponding directed graph G layer by layer from its tree path submatrix Qfp. Its principle is intuitive, and its computational complexity is O(nl2), where n and l are the numbers of rows and columns of Qfp. Example 2 shows that Tutte's condition is not the sufficient condition for Qf to he realizable.

     

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