Results 21 to 30 of about 5,576,282 (226)

-borderenergetic graphs

AKCE International Journal of Graphs and Combinatorics, 2020
A graph is said to be borderenergetic (-borderenergetic, respectively) if its energy (Laplacian energy, respectively) equals the energy (Laplacian energy, respectively) of the complete graph .
Qingyun Tao, Yaoping Hou
doaj   +1 more source

On the Adjacency, Laplacian, and Signless Laplacian Spectrum of Coalescence of Complete Graphs

Journal of Mathematics, 2016
Coalescence as one of the operations on a pair of graphs is significant due to its simple form of chromatic polynomial. The adjacency matrix, Laplacian matrix, and signless Laplacian matrix are common matrices usually considered for discussion under ...
S. R. Jog, Raju Kotambari
doaj   +1 more source

On the Laplacian energy of a graph [PDF]

, 1984
summary:In this paper we consider the energy of a simple graph with respect to its Laplacian eigenvalues, and prove some basic properties of this energy.
Cvetković, Dragoš, Petrić, Milenko, Lazić, Mirjana   +2 more
core   +1 more source

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

On the Signless Laplacian Eigenvalues and Optimum SLE of Graph

Fuzzy Optimization and Modeling, 2022
Let G be a graph of order n and with the vertex set {v_1,v_2,…,v_n } and the edge set E(G). The adjancency matrix of G is an n×n matrix A(G) whose (i,j)-entry is 1 if v_i is adjacent to v_j and 0, otherwise.
Gholam Hossein Fath-Tabar
doaj   +1 more source

New bounds for Laplacian energy / Новые ограничения Лапласовой энергии / Nova ograničenja za Laplasovu energiju [PDF]

Vojnotehnički Glasnik, 2020
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. The basic results of the theory of LE are
Ivan Gutman
doaj   +1 more source

Orchestrating Anion–π+ Interactions to Accelerate Metal‐Free Room‐Temperature Phosphorescence

Angewandte Chemie, EarlyView.
Tuning anion–π+ interactions in pyridinium iodide contact ion pairs enables ultrafast metal‐free room‐temperature phosphorescence (540–605 nm) with radiative rates up to 5.2×105 s−1. Strong iodide→π+ charge‐transfer coupling, enhanced spin–orbit interactions, and dynamic ion‐pair organization accelerate intersystem crossing and emission, establishing ...
Eetu Hakkarainen, Corentin Montagne, Hao‐Cheng Lin, Chen‐Yu Lin, Khai‐Nghi Truong, Po‐Yu Chen, Anton Nechaev, Fabien B. L. Cougnon, Igor O. Koshevoy, Toni Eskelinen, Hao‐Wu Lin, Pi‐Tai Chou, Andrey Belyaev   +12 more
wiley   +2 more sources

Laplacian Sum-Eccentricity Energy of a Graph [PDF]

Mathematics Interdisciplinary Research, 2017
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, Mohammad Issa Sowaity, Ivan Gutman   +2 more
doaj   +1 more source

Two Laplacian energies and the relations between them / Две энергии Лапласа и их соотношение / Dve Laplasove energije i odnosi među njima [PDF]

Vojnotehnički Glasnik, 2020
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

Artificial Intelligence Meets Micro/Nanorobotics

Advanced Materials, EarlyView.
Artificial intelligence is transforming micro‐ and nanorobots from externally controlled, task‐specific machines into adaptive, autonomous systems. Machine learning, multimodal perception, digital twins, AI‐guided materials and geometry design enhance propulsion, localization, decision‐making, whichaccelerates clinical and environmental applications ...
Fatma M. Yurtsever, Minitha Cherukutty Ramakrishnan, Ian Kuula Ross, Ivan Zelinka, Hamed Shahsavan, Michal Otyepka, Martin Pumera   +6 more
wiley   +1 more source