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  • 标题:Graph theoretic formulae for the determinant and adjugate of Matrices carrying Graph Structure ⁎
  • 本地全文:下载
  • 作者:Mark Jeeninga ; Arjan J. van der Schaft ; Claudio De Persis
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2018
  • 卷号:51
  • 期号:23
  • 页码:259-264
  • DOI:10.1016/j.ifacol.2018.12.045
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractFor a directed or undirected graph without loops we give formulae for the determinant and adjugate of matrices which carry their structure. In particular, we consider the in-degree and out-degree Laplacian and the adjacency matrix of a directed graph, and the Laplacian and adjacency matrix for an undirected graph.
  • 关键词:KeywordsGraph theoryDirected graphsMatrix determinantsMatrix adjugates
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