Spectral generalizations of line graphs : on graphs with least eigenvalue -2 / Dragos Cvetkovic, Peter Rowlinson, Slobodan Simic
- Cvetković, Dragoš M.
- Cambridge : Cambridge University Press, 2004.
- Physical Description:
- 1 online resource (xi, 298 pages) : digital, PDF file(s).
- Additional Creators:
- Rowlinson, Peter and Simić, S. (Slobodan)
- Introduction -- Forbidden subgraphs -- Root systems -- Regular graphs -- Star complements -- The Maximal exceptional graphs -- Miscellaneous results.
- Line graphs have the property that their least eigenvalue is greater than or equal to -2, a property shared by generalized line graphs and a finite number of so-called exceptional graphs. This book deals with all these families of graphs in the context of their spectral properties. The authors discuss the three principal techniques that have been employed, namely 'forbidden subgraphs', 'root systems' and 'star complements'. They bring together the major results in the area, including the recent construction of all the maximal exceptional graphs. Technical descriptions of these graphs are included in the appendices, while the bibliography provides over 250 references. This will be an important resource for all researchers with an interest in algebraic graph theory.
- 9780511751752 (ebook)
- Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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