Spectra of graphs and closed distance magic labelings

  title={Spectra of graphs and closed distance magic labelings},
  author={Marcin Anholcer and Sylwia Cichacz-Przenioslo and Iztok Peterin},
  journal={Discrete Mathematics},
Let G = (V,E) be a graph of order n. A closed distance magic labeling of G is a bijection l : V (G) → {1, . . . , n} for which there exists a positive integer k such that ∑ x∈N [v] l(x) = k for all v ∈ V , where N [v] is the closed neighborhood of v. We consider the closed distance magic graphs in the algebraic context. In particular we analyze the relations between the closed distance magic labelings and the spectra of graphs. These results are then applied to the strong product of graphs with… CONTINUE READING

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  • S. Cichacz
  • Froncek Distance magic circulant graphs, Preprint…
  • 2013
1 Excerpt

Distance magic (r,t)-hypercycles

  • S. Cichacz
  • Utilitas Math. (2013),
  • 2013
1 Excerpt

Eigenvalues of Matrices

  • F. Chatelin
  • Classics in Applied Mathematics 71, SIAM
  • 2012
1 Excerpt

Handbook of Product Graphs

  • R. Hammack, W. Imrich, S. Klavžar
  • Second Edition, Discrete Mathematics and Its…
  • 2011
1 Excerpt

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