Spectra of unicyclic graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1987 English Publisher:Springer Science and Business Media LLCJournal:Graphs and Combinatorics, volume 3, pages 7-23 (issn: 0911-0119, eissn: 1435-5914,

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Authors: Dragos M. Cvetkovic; Peter Rowlinson;

doi: 10.1007/bf01788525

Spectra of unicyclic graphs

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Abstract

We study lexicographic ordering of unicyclic graphs by spectral moments as well as the ordering by the largest eigenvalue. If the length of the cycle is fixed, extremal graphs in the first ordering are obtained by attaching a star and a path to a cycle. For the other ordering minimal graphs are not known. A table of the 89 unicyclic graphs on 8 vertices with their spectra is appended.

Related Organizations

University of Belgrade
Serbia
University of Stirling
United Kingdom

Keywords

Extremal problems in graph theory, unicyclic graphs, Graphs and linear algebra (matrices, eigenvalues, etc.), extremal graphs, spectral moments, ordering, largest eigenvalue

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