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Considering spatiotemporal evolutionary information in dynamic multi‐objective optimisation
Abstract Preserving population diversity and providing knowledge, which are two core tasks in the dynamic multi‐objective optimisation (DMO), are challenging since the sampling space is time‐ and space‐varying. Therefore, the spatiotemporal property of evolutionary information needs to be considered in the DMO.
Qinqin Fan +3 more
wiley +1 more source
Laplacian Sum-Eccentricity Energy of a Graph [PDF]
We introduce the Laplacian sum-eccentricity matrix LSe of a graph G, and its Laplacian sum-eccentricity energy LSeE=∑ni=1|ηi|, where ηi=ξi-(2m/n) and where ξ1,ξ2,...,ξn are the eigenvalues of LSe. Upper bounds for LSeE are obtained. A graph is said to be
Biligirirangaiah Sharada +2 more
doaj +1 more source
We model the exchange-correlation (XC) energy density of the Si crystal and atom as calculated by variational Monte Carlo (VMC) methods with a gradient analysis beyond the local density approximation (LDA).
Antonio C. Cancio +5 more
core +1 more source
Seidel Signless Laplacian Energy of Graphs [PDF]
Let S(G) be the Seidel matrix of a graph G of order n and let DS(G)=diag(n-1-2d1, n-1-2d2,..., n-1-2dn) be the diagonal matrix with d_i denoting the degree of a vertex v_i in G.
Harishchandra Ramane +3 more
doaj +1 more source
Point-like perturbed fractional Laplacians through shrinking potentials of finite range
We reconstruct the rank-one, singular (point-like) perturbations of the $d$-dimensional fractional Laplacian in the physically meaningful norm-resolvent limit of fractional Schr\"{o}dinger operators with regular potentials centred around the perturbation
Michelangeli, Alessandro +1 more
core +1 more source
Bounds for the signless Laplacian energy
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abreu, Nair +4 more
openaire +4 more sources
Two Laplacian energies and the relations between them / Две энергии Лапласа и их соотношение / Dve Laplasove energije i odnosi među njima [PDF]
Introduction/purpose: The Laplacian energy (LE) is the sum of absolute values of the terms μi-2m/n, where μi, i=1,2,…,n, are the eigenvalues of the Laplacian matrix of the graph G with n vertices and m edges. In 2006, another quantity Z was introduced,
Ivan Gutman
doaj +1 more source
On the Laplacian-energy-like invariant
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Kinkar Ch. +2 more
openaire +2 more sources
Radical‐Based On‐Surface Transformation of Nonplanar Aromatics Into Nonbenzenoid Nanographenes
Formation of radicals in nonplanar hydrocarbons through thermally induced dehydrogenation leads to molecular transformation via intramolecular radical‐based cyclization and dimerization, leading to formation of nonbenzenoid nanographenes. ABSTRACT On‐surface synthesis has emerged as a powerful tool for atomically precise C─C bond formation, enabling ...
Daniel Rothhardt +8 more
wiley +2 more sources
Asymptotic Laplacian-Energy-Like Invariant of Lattices [PDF]
Let $\mu_1\ge \mu_2\ge\cdots\ge\mu_n$ denote the Laplacian eigenvalues of $G$ with $n$ vertices. The Laplacian-energy-like invariant, denoted by $LEL(G)= \sum_{i=1}^{n-1}\sqrt{\mu_i}$, is a novel topological index.
Hu, Feng-Feng +3 more
core

