Results 11 to 20 of about 38,678 (149)

On Laplacian-energy-like invariant of a graph

Linear Algebra and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Weizhong, Luo, Yanfeng
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Comparison between Kirchhoff index and the Laplacian-energy-like invariant

Linear Algebra and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Kinkar Ch., Xu, Kexiang, Gutman, Ivan   +2 more
openaire   +4 more sources

Coulson-type integral formulas for the general Laplacian energy-like invariant of graphs II

Journal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiao, Lu, Zhang, Shenggui, Li, Jing
openaire   +3 more sources

Coulson-type integral formulas for the general Laplacian-energy-like invariant of graphs I

Journal of Mathematical Analysis and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiao, Lu, Zhang, Shenggui, Ning, Bo, Li, Jing   +3 more
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Considering spatiotemporal evolutionary information in dynamic multi‐objective optimisation

CAAI Transactions on Intelligence Technology, EarlyView., 2023
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, Min Jiang, Wentao Huang, Qingchao Jiang   +3 more
wiley   +1 more source

Comparison between Laplacian--energy--like invariant and Kirchhoff index

The Electronic Journal of Linear Algebra, 2016
For a simple connected graph G of order n, having Laplacian eigenvalues μ_1, μ_2, . . . ,μ_{n−1}, μ_n = 0, the Laplacian–energy–like invariant (LEL) and the Kirchhoff index (Kf) are defined as LEL(G) = \sum_{i=1}^{n-1} \sqrt{μ_i} Kf(G) = \sum_{i=1}^{n-1} 1/μ_i, respectively.
Pirzada, Shariefuddin, Ganie, Hilal A., Gutman, Ivan   +2 more
openaire   +2 more sources

Magnetic monopoles vs. Hopf defects in the Laplacian (Abelian) gauge [PDF]

, 2000
We investigate the Laplacian Abelian gauge on the sphere S^4 in the background of a single `t Hooft instanton. To this end we solve the eigenvalue problem of the covariant Laplace operator in the adjoint representation.
't Hooft, 't Hooft, 't Hooft, A. Wipf, Adam, Alexandrou, Alexandrou, Arafune, Baulieu, Brower, Bruckmann, Chernodub, Chernodub, Cho, Cornwell, F. Bruckmann, Faddeev, Faddeev, Forcrand, Ford, Ford, Ford, Goldhaber, Gribov, Hasenfratz, Haymaker, Hopf, Jackiw, Jackiw, Jackiw, Jahn, Jahn, Kronfeld, Kronfeld, Mandelstam, Nakahara, Parisi, Reed, Reinhardt, Ryder, Schierholz, Schäfer, Shabanov, Singer, T. Heinzl, T. Vekua, Tsurumaru, van Baal, van der Sijs, van der Sijs, van der Sijs, Vink, Vink, Weiss, Wu   +54 more
core   +2 more sources

Anatomy of quantum chaotic eigenstates [PDF]

, 2012
The eigenfunctions of quantized chaotic systems cannot be described by explicit formulas, even approximate ones. This survey summarizes (selected) analytical approaches used to describe these eigenstates, in the semiclassical limit.
A Bouzouina, A Bäcker, A Bäcker, A Bäcker, A Hassell, A Katok, A Schnirelman, A Voros, AH Barnett, AJ Lichtenberg, B Crespi, B Ekhardt, B Gutkin, B Helffer, B Shiffman, C-H Chang, D Kelmer, E Bogomolny, E Bogomolny, E Bogomolny, E Lindenstrauss, E Vergini, EB Bogomolny, EJ Heller, EJ Heller, F Faure, F Nazarov, G Berkolaiko, G Blum, H Donnelly, H Iwaniec, I Melbourne, IC Percival, J Brüning, J Marklof, J-M Tualle, JH Hannay, JH Hannay, JP Keating, JP Keating, L Hörmander, L Kaplan, L Kaplan, LA Bunimovich, M Degli Esposti, M Degli Esposti, M Feingold, M. Saraceno, MV Berry, MV Berry, MV Berry, N Anantharaman, N Anantharaman, N Anantharaman, N Anantharaman, N Chernov, NL Balasz, NL Balasz, P Bleher, P Bàlint, P Gérard, P Kurlberg, P Kurlberg, P Kurlberg, P Leboeuf, P Leboeuf, R Aurich, R Aurich, R Aurich, R Courant, R Schubert, R Schubert, S Brooks, S Nonnenmacher, S Zelditch, S Zelditch, S Zelditch, S Zelditch, S Zelditch, SW McDonald, W Luo, Y Colin de Verdière, Z Rudnick, Z Rudnick, Å Pleijel   +84 more
core   +4 more sources

Unification Scale, Proton Decay, And Manifolds Of G_2 Holonomy [PDF]

, 2002
Models of particle physics based on manifolds of $G_2$ holonomy are in most respects much more complicated than other string-derived models, but as we show here they do have one simplification: threshold corrections to grand unification are particularly ...
Friedmann, Tamar, Witten, Edward
core   +4 more sources

Parabolic theory of the discrete p-Laplace operator [PDF]

, 2013
We study the discrete version of the $p$-Laplacian. Based on its variational properties we discuss some features of the associated parabolic problem.
Mugnolo, Delio
core   +1 more source