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The number of \(n\)-cycles in a graph

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Publication:879592
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DOI10.1016/J.AMC.2006.06.085zbMath1115.05043OpenAlexW1982105594MaRDI QIDQ879592

Gordon G. Cash

Publication date: 14 May 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.085


zbMATH Keywords

adjacency matriximmanants


Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Paths and cycles (05C38) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)


Related Items (4)

A general purpose algorithm for counting simple cycles and simple paths of any length ⋮ A Hopf algebra for counting cycles ⋮ An efficient approximation algorithm for counting \(n\)-cycles in a graph ⋮ Enumerating simple paths from connected induced subgraphs


Uses Software

  • PERMS



Cites Work

  • Inequalities and identities for generalized matrix functions
  • The Clar covering polynomial of hexagonal systems with an application to chromatic polynomials
  • The Clar covering polynomial of hexagonal systems. I
  • The Clar covering polynomial of hexagonal systems. III
  • Unnamed Item
  • Unnamed Item




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