Erratum to “A note on the largest eigenvalue of non-regular graphs”.
Liu, Bolian, Mu-Huo, Liu, You, Zhifu (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Displaying similar documents to “On -extremal non-regular graphs.”
Erratum to “A note on the largest eigenvalue of non-regular graphs”.
The Merris index of a graph.
Goldberg, Felix, Shapiro, Gregory (2003)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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A necessary and sufficient eigenvector condition for a connected graph to be bipartite.
Cioaba, Sebastian M. (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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The signless Laplacian spectral radius of bicyclic graphs with a given girth.
Zhu, Zhongxun (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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The signless Laplacian separator of graphs.
You, Zhifu, Liu, Bolian (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Linear combinations of graph eigenvalues.
Nikiforov, Vladimir (2006)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Approximating the isoperimetric number of strongly regular graphs.
Sivasubramanian, Sivaramakrishnan (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Spectral characterization of multicone graphs
Jianfeng Wang, Haixing Zhao, Qiongxiang Huang (2012)
Czechoslovak Mathematical Journal
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A multicone graph is defined to be the join of a clique and a regular graph. Based on Zhou and Cho's result [B. Zhou, H. H. Cho, Remarks on spectral radius and Laplacian eigenvalues of a graph, Czech. Math. J. 55 (130) (2005), 781–790], the spectral characterization of multicone graphs is investigated. Particularly, we determine a necessary and sufficient condition for two multicone graphs to be cospectral graphs and investigate the structures of graphs cospectral to a multicone graph....
Interlacing for weighted graphs using the normalized Laplacian.
Butler, Steve (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Principal eigenvectors of irregular graphs.
Cioabă, Sebastian M., Gregory, David A. (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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The Sun graph is determined by its signless Laplacian spectrum.
Mirzakhah, Maryam, Kiani, Dariush (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Extremal bipartite graphs with a unique k-factor
Arne Hoffmann, Elżbieta Sidorowicz, Lutz Volkmann (2006)
Discussiones Mathematicae Graph Theory
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Given integers p > k > 0, we consider the following problem of extremal graph theory: How many edges can a bipartite graph of order 2p have, if it contains a unique k-factor? We show that a labeling of the vertices in each part exists, such that at each vertex the indices of its neighbours in the factor are either all greater or all smaller than those of its neighbours in the graph without the factor. This enables us to prove that every bipartite graph with a unique k-factor and...