Results 31 to 40 of about 915 (122)

On the Minimum General Sum‐Connectivity of Trees of Fixed Order and Pendent Vertices

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
For a graph G, its general sum‐connectivity is usually denoted by χα(G) and is defined as the sum of the numbers dGu+dGvα over all edges uv of G, where dG(u), dG(v) represent degrees of the vertices u, v, respectively, and α is a real number. This paper addresses the problem of finding graphs possessing the minimum χα value over the class of all trees ...
Abeer M. Albalahi   +2 more
wiley   +1 more source

Light Confinement by Local Index Tailoring in Inhomogeneous Dielectrics

open access: yesLaser &Photonics Reviews, Volume 15, Issue 9, September 2021., 2021
In inhomogeneous media, any local change of the dielectric distribution typically affects the propagating light fields in a non‐local and complicated way. Here, a method for producing local modifications of an inhomogeneous dielectric medium is described, which leaves the electric field outside of the modified region unchanged—a technique that is used ...
I. Krešić, K. G. Makris, S. Rotter
wiley   +1 more source

Out of Equilibrium Thermal Field Theories - Finite Time after Switching on the Interaction - Wigner Transforms of Projected Functions [PDF]

open access: yes, 2000
We study out of equilibrium thermal field theories with switching on the interaction occurring at finite time using the Wigner transforms (in relative space-time) of two-point functions.
A. J. Niemi   +43 more
core   +5 more sources

Topological indices and f-polynomials on some graph products [PDF]

open access: yes, 2021
We Obtain Inequalities Involving Many Topological Indices In Classical Graph Products By Using The F-Polynomial. In Particular, We Work With Lexicographic Product, Cartesian Sum And Cartesian Product, And With First Zagreb, Forgotten, Inverse Degree And ...
Ableu Baya, Ricardo   +3 more
core   +2 more sources

Relations between Wiener, hyper-Wiener and some Zagreb type indices [PDF]

open access: yesKragujevac Journal of Science, 2019
In this paper, some inequalities between the Wiener, hyper-Wiener, first Zagreb, second Zagreb, first reformulated Zagreb, second reformulated Zagreb and the general Zagreb indices of a simple graph are given.
Ghalavand Ali   +2 more
doaj  

Laplacian coefficients of trees [PDF]

open access: yes, 2020
Let G be a simple and undirected graph with Laplacian polynomial ψ(G, λ) = Σk=0n (−1)n-kck(G)λk. In this paper, exact formulas for the coefficient cn−4 and the number of 4-matchings with respect to the Zagreb indices of a given tree are presented.
Ali Ghalavand, Ali Reza Ashrafi
core   +2 more sources

Covariant canonical quantization of fields and Bohmian mechanics

open access: yes, 2004
We propose a manifestly covariant canonical method of field quantization based on the classical De Donder-Weyl covariant canonical formulation of field theory.
70   +27 more
core   +1 more source

Norm-variation of ergodic averages with respect to two commuting transformations

open access: yes, 2017
We study double ergodic averages with respect to two general commuting transformations and establish a sharp quantitative result on their convergence in the norm.
Durcik, Polona   +3 more
core   +1 more source

On reformulated zagreb indices with respect to tricyclic graphs

open access: yes, 2014
The authors Mili$\breve{c}$evi$\acute{c}$ et al. introduced the reformulated Zagreb indices, which is a generalization of classical Zagreb indices of chemical graph theory. In the paper, we characterize the extremal properties of the first reformulated Zagreb index.
Ji, Shengjin, Li, Xia, Qu, Yongke
openaire   +2 more sources

Exploring Graph Product Operations Through Eccentricity Connectivity Coindex: A Comprehensive QSPR Analysis of Octane Isomers

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, the first eccentricity connectivity coindex is introduced as ECI¯G=∑uv∉EGε2u+ε2v, in which ε(u) denotes the eccentricity of the vertex u in the simple connected graph G. Then, the exact expressions are obtained for the first eccentricity connectivity coindex of some graph products.
Suha Wazzan   +2 more
wiley   +1 more source

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