School of Basic SciencesApplicable Analysis & Discrete MathematicsS. Barik, R. B. Bapat and S. Pati, On the Laplacian spectra of product graphs, Appl. Anal. Disc. Math., 9 (2015).Sasmita Barik, Ravindra B Bapat, and S Pati. On the laplacian spectra of product graphs. Applicable ...
This article extends some fundamental concepts of the Laplacian matrices from graphs to signed graphs. In particular, the largest Laplacian eigenvalue of a signed graph is investigated, which generalizes the corresponding results on the largest Laplacian eigenvalue of a graph....
Moreover, we prove that one class of unicyclic graphs are determined by their signless Laplacian spectra.doi:10.5402/2011/282940Mu-Huo LiuInternational Scholarly Research NetworkIsrn AlgebraM. H. Liu. Some results on the signless Laplacian spectra of unicyclic graphs. International Scholarly Research...
M., Rowlison, P., Simić, S.: An Introduction to Theory of Graph spectra, Spectra of Graphs, Theory and Application, London Math. S. Student Text, 75, Cambridge University Press, Cambridge, 2010 Google Scholar Ganie, H. A.: On distance Laplacian spectrum (energy) of graphs. Discrete...
The Laplacian-energy-like invariant (LEL) and the Laplacian energy (LE) of the graph G, are defined as: LEL=∑i=1n−1μi and LE=∑i=1n|μi−2mn|, respectively. We obtain two relations on LEL with Kf, and LE with Kf. For two classes of graphs, we prove that LEL>Kf. ...
The signless Laplacian spectra of the corona and edge corona of two graphs We give complete information about the signless Laplacian spectrum of the corona of a graph G 1 and a regular graph G 2, and complete information about the... S Wang,B Zhou - 《Linear & Multilinear Algebra》 被...
In this paper we present an equivalent definition of Co-PI index and then determine the eigenvalues of Co-PI matrices and their Laplacians of Cartesian product graphs, including bounds on the second and third Co-PI spectral moment of a graph. The explicit formulae for the Co-PI index of ...
Let [Formula: see text] denote the Signless Laplacian spectral radius of [Formula: see text]. In this paper, we give lower and upper bounds on [Formula: see text] for any [Formula: see text] and find those graphs for which the extremal values are attained. We give a comparison ...
1.2Description chemotaxis models on graphs Throughout this paper we assume thatis a compact metric graph. That is, the set of verticesis finite, the set edgesis finite and consists of edges of finite length. We assume thatis a connected and oriented graph, that is, each edgeeis equipped wi...
[12] Teranishi, Y.: Laplacian spectra and invariants of graphs, Discrete Math. 257 (2002), 183–189. http://dx.doi.org/10.1016/S0012-365X(02)00398-910.1016/S0012-365X(02)00398-9Search in Google Scholar Published Online: 2011-12-31 Published in Print: 2012-2-1 © 2012 Mathematical...