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Laplacian Spectral Characterization of Some Unicyclic Graphs

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  • Lijun Yu
  • Hui Wang
  • Jiang Zhou

Abstract

Let W(n; q, m1, m2) be the unicyclic graph with n vertices obtained by attaching two paths of lengths m1 and m2 at two adjacent vertices of cycle Cq. Let U(n; q, m1, m2, …, ms) be the unicyclic graph with n vertices obtained by attaching s paths of lengths m1, m2, …, ms at the same vertex of cycle Cq. In this paper, we prove that W(n; q, m1, m2) and U(n; q, m1, m2, …, ms) are determined by their Laplacian spectra when q is even.

Suggested Citation

  • Lijun Yu & Hui Wang & Jiang Zhou, 2014. "Laplacian Spectral Characterization of Some Unicyclic Graphs," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:268464
    DOI: 10.1155/2014/268464
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