The component matrix, Laplacian Distance Peripheral distance of the cyclotomic graphs and some properties are found. D-energy, $D_{p}$-energy, $D^{L}$-energy indices determined. For real symmetric matrices, matrices that attain maximum $L, L_{s}$ minimum S calculated. Hausdorff optimal matching evaluated.

The p-Laplacian evolution equation in metric measure spaces has been studied as the gradient flow L2 of p-Cheeger energy (for 1<p<∞). In this paper, using first-order differential structure on a space introduced by Gigli, we characterise subdifferential energy. This gives rise to new definition operator spaces, which allows us work with more detail. way, introduce notion solutions spaces. For p...

Let G be a mixed graph and L(G) be the Laplacian matrix of G. In this paper, the coefficients of the Laplacian characteristic polynomial of G are studied. The first derivative of the characteristic polynomial of L(G) is explicitly expressed by means of Laplacian characteristic polynomials of its edge deleted subgraphs. As a consequence, it is shown that the Laplacian characteristic polynomial o...

The main aim of this study is to characterize new classes of multicone graphs which are determined by their signless Laplacian spectra. A multicone graph is defined to be the join of a clique and a regular graph. Let C and K w denote the Clebsch graph and a complete graph on w vertices, respectively. In this paper, we show that the multicone graphs K w ▽C are determined by their signless ...

We consider the propagation of flexural-gravity waves in thin elastic plates floating atop nonviscous fluids, e.g., seawater, which are governed by a partial differential equation with Laplacian and tri-Laplacian terms. investigate effect time modulation as well spacetime on show peculiarity phenomena $k$-band gap rotated context waves. This makes possible nonreciprocal features behaving elasto...

Modern meta-GGAs based on the local kinetic energy density can predict properties of diverse systems with near experimental accuracy, but unexpectedly describe metallic solids poorly due to their underestimation screening in metals. In this work, authors replace dependence a sophisticated meta-GGA an approximation electronic gradient and Laplacian. This Laplacian-level is tested set solid-state...

‎by considering a degenerate $p(x)-$laplacian equation‎, ‎a generalized compact embedding in weighted variable‎ ‎exponent sobolev space is presented‎. ‎multiplicity of positive solutions are discussed by applying fibering map approach for the‎ ‎corresponding nehari manifold‎.

Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Mathias Masson Name of the doctoral dissertation Regularity for parabolic quasiminimizers in metric measure spaces Publisher School of Science Unit Department of Mathematics and Systems Analysis Series Aalto University publication series DOCTORAL DISSERTATIONS 89/2013 Field of research Mathematical analysis Manuscript submitte...