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Intersection Graphs of Oriented Hypergraphs and Their Matrices

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 نشر من قبل Nathan Reff
 تاريخ النشر 2015
  مجال البحث
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 تأليف Nathan Reff




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For a given hypergraph, an orientation can be assigned to the vertex-edge incidences. This orientation is used to define the adjacency and Laplacian matrices. In addition to studying these matrices, several related structures are investigated including the incidence dual, the intersection graph (line graph), and the 2-section. A connection is then made between oriented hypergraphs and balanced incomplete block designs.



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