Laplacian Spectral Characterization of Some Unicyclic Graphs
Lijun Yu,
Hui Wang and
Jiang Zhou
Journal of Applied Mathematics, 2014, vol. 2014, issue 1
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.
Date: 2014
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https://doi.org/10.1155/2014/268464
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:268464
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