Results 91 to 100 of about 102,179 (232)
Energy of Pythagorean Fuzzy Graphs with Applications
Mathematics, 2018 Pythagorean fuzzy sets (PFSs), an extension of intuitionistic fuzzy sets (IFSs), inherit the duality property of IFSs and have a more powerful ability than IFSs to model the obscurity in practical decision-making problems.
Muhammad Akram, Sumera Naz
doaj +1 more source
, 2014 The 1D discrete fractional Laplacian operator on a cyclically closed (periodic) linear chain with finitenumber $N$ of identical particles is introduced. We suggest a "fractional elastic harmonic potential", and obtain the $N$-periodic fractionalLaplacian
Collet, Bernard +3 more
core
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
On the neighbourhood degree sum-based Laplacian energy of graphs
Kuwait Journal of ScienceA useful extension of the Laplacian matrix is proposed here and the corresponding modification of the Laplacian energy (LE) is presented. The neighbourhood degree sum-based Laplacian energy (LNE) is produced by means of the eigenvalues of the newly ...
doaj +1 more source
, 2013 Summary: Let \(G\) be a connected graph of order \(n\) with Laplacian eigenvalues \(\mu_1\geq\mu_2\geq\cdots\geq\mu_{n-1}>\mu_n=0\). The Laplacian energy of the graph \(G\) is defined as \(LE=LE(G)=\sum_{i=1}^n| \mu_i-2m/n| \). Upper bounds for \(LE\) are obtained in terms of \(n\) and the number of edges \(m\).
Das, Kinkar Ch. +3 more
openaire +3 more sources
European Journal of Inorganic Chemistry, EarlyView.Intramolecular (RO)2PO→Halogen interaction versus intermolecular (RO)2PO···HOH hydrogen bonds. Although the O···I distance is shorter than the sum of the van der Waals radii of the atoms involved, there is no covalency involved in this interaction.
David Mross +6 more
wiley +1 more source
On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs
Journal of New Theory, 2018 We introduce the concept of Path Laplacian Matrix for a graph and explore the eigenvalues of this matrix. The eigenvalues of this matrix are called the path Laplacian eigenvalues of the graph.
Shridhar Chandrakant Patekar +1 more
doaj
A Crystalline Ylide‐Stabilized Stibenium Cation
European Journal of Inorganic Chemistry, EarlyView.The isolation of a stibenium cation stabilized by two thiophosphinoyl‐tethered ylide groups is reported. The cation is accessible via salt metathesis of the metalated ylide with SbCl3 and features CSb single bonds, with lone pairs remaining localized at the ylidic carbon atoms.
Daniel Knyszek +4 more
wiley +1 more source
The Laplacian spectrum of weighted composite networks and the applications
AIP AdvancesThe topological properties of the networks can be described by the Laplacian spectra, but resolving the Laplacian spectra of networks poses difficulties. In this study, a novel approach for solving the Laplacian spectrum of weighted composite networks is
Jian Zhu +3 more
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On the spectrum, energy and Laplacian energy of graphs with self-loops. [PDF]
Heliyon, 2023 Preetha P U, Suresh M, Bonyah E.
europepmc +1 more source