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On the Index of Necklaces

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Abstract

We consider the following two classes of simple graphs: open necklaces and closed necklaces, consisting of a finite number of cliques of fixed orders arranged in path-like pattern and cycle-like pattern, respectively. In these two classes we determine those graphs whose index (the largest eigenvalue of the adjacency matrix) is maximal.

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Authors and Affiliations

  1. Department of Mathematics, University of Messina, Messina, Italy

    Francesco Belardo & Enzo M. Li Marzi

  2. Mathematical Institute SANU, Belgrade, Serbia

    Slobodan K. Simić

  3. Department of Mathematics and Information Science, Qinghai Normal University, Xining, Qinghai, People’s Republic of China

    Jianfeng Wang

Authors
  1. Francesco Belardo
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  2. Enzo M. Li Marzi
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  3. Slobodan K. Simić
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  4. Jianfeng Wang
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Corresponding author

Correspondence to Francesco Belardo.

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Belardo, F., Li Marzi, E.M., Simić, S.K. et al. On the Index of Necklaces. Graphs and Combinatorics 26, 163–172 (2010). https://doi.org/10.1007/s00373-010-0910-4

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  • DOI: https://doi.org/10.1007/s00373-010-0910-4

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