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On the energy of complement of regular line graphs

Alinaghipour, F ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. Publisher: 2008
  3. Abstract:
  4. Let G be a simple graph with n vertices and let λ1, λ2,...,λn be its eigenvalues. The energy of G is defined to be E(G) = ∑i=1n|λi|. In this note, for a given k-regular graph we find explicit formulas for the energy of L(G), the complement of line graph of G. This provides us with some practical ways to compute the energy of a large family of regular graphs
  5. Keywords:
  6. Energy of graph ; Signless laplacian ; Hosoya index
  7. Source: Match ; Volume 60, Issue 2 , 2008 , Pages 427-434 ; 03406253 (ISSN)
  8. URL: https://match.pmf.kg.ac.rs/electronic_versions/Match60/n2/match60n2_427-434.pdf