Discussing graph theory with a computer. II: Theorems suggested by the computer.
Cvetkovic, Dragos M. (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “On composition of signed graphs”
Discussing graph theory with a computer. II: Theorems suggested by the computer.
Some results on graphs with at most two positive eigenvalues.
Petrović, Miroslav (1991)
Publications de l'Institut Mathématique. Nouvelle Série
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DISTANCE SPECTRA AND DISTANCE ENERGIES OF ITERATED LINE GRAPHS OF REGULAR GRAPHS
H. S. Ramane, D. S. Revankar, I. Gutman, H. B. Walikar (2009)
Publications de l'Institut Mathématique
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Graphs with least eigenvalue -2 attaining a convex quadratic upper bound for the stability number
D. M. Cardoso, D. Cvetković (2006)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Note on enumeration of labeled split graphs
Vladislav Bína, Jiří Přibil (2015)
Commentationes Mathematicae Universitatis Carolinae
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The paper brings explicit formula for enumeration of vertex-labeled split graphs with given number of vertices. The authors derive this formula combinatorially using an auxiliary assertion concerning number of split graphs with given clique number. In conclusion authors discuss enumeration of vertex-labeled bipartite graphs, i.e., a graphical class defined in a similar manner to the class of split graphs.
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....
On the numbers of positive and negative eigenvalues of a graph.
Torgašev, Aleksandar (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Equienergetic graphs
Harishchandra S. Ramane, Hanumappa B. Walikar, Siddani Bhaskara Rao, B. Devadas Acharya, Prabhakar R. Hampiholi, Sudhir R. Jog, Ivan Gutman (2004)
Kragujevac Journal of Mathematics
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Graph equations, graph inequalities and a fixed point theorem.
I.B. Lackovic, D.M. Cvetkovic (1976)
Publications de l'Institut Mathématique [Elektronische Ressource]
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