Results 61 to 70 of about 2,463 (224)

Intuitionistic Fuzzy Graphs with Categorical Properties

Fuzzy Information and Engineering, 2015
The main purpose of this paper is to show the rationality of some operations, defined or to be defined, on intuitionistic fuzzy graphs. Firstly, three kinds of new product operations (called direct product, lexicographic product, and strong product) are ...
Hossein Rashmanlou, Sovan Samanta, Madhumangal Pal, Rajab Ali Borzooei   +3 more
doaj   +1 more source

Investigation on the Impact of Memristive Device Variability on Uncoupled Memristive Cellular Nonlinear Networks

Advanced Electronic Materials, EarlyView.
Memristors, nanoscale devices that compute and store data in the same place, promise compact, energy‐efficient image‐processing hardware, yet no two devices behave exactly alike. Simulations based on real device measurements show that a 256‐cell memristive cellular nonlinear network (M‐CellNN) detects image edges perfectly despite this variability and ...
Salwa Yasmeen Neyaz, Kristoffer Schnieders, Yongmin Wang, Alon Ascoli, Ioannis Messaris, Ronald Tetzlaff, Vasileios Ntinas, Ricardo Carmona Galán, Stefan Wiefels, Vikas Rana, Stephan Menzel   +10 more
wiley   +1 more source

On eternal domination and Vizing-type inequalities

AKCE International Journal of Graphs and Combinatorics, 2020
We show sharp Vizing-type inequalities for eternal domination. Namely, we prove that for any graphs G and H, where is the eternal domination function, α is the independence number, and is the strong product of graphs.
Keith Driscoll, William F. Klostermeyer, Elliot Krop, Colton Magnant, Patrick Taylor   +4 more
doaj   +1 more source

Why Physics Still Matters: Improving Machine Learning Prediction of Material Properties With Phonon‐Informed Datasets

Advanced Intelligent Discovery, EarlyView.
Phonons‐informed machine‐learning predictive models are propitious for reproducing thermal effects in computational materials science studies. Machine learning (ML) methods have become powerful tools for predicting material properties with near first‐principles accuracy and vastly reduced computational cost.
Pol Benítez, Cibrán López, Edgardo Saucedo, Teruyasu Mizoguchi, Claudio Cazorla   +4 more
wiley   +1 more source

Dispersion on Certain Cartesian Products of Graphs

, 2023
In this short note we prove a sharp dispersive estimate $\|\mathrm{e}^{\mathrm{i} tH} f\|_\infty < t^{-d/3}\|f\|_1$ for any Cartesian product $\mathbb{Z}^d\mathop\square G_F$ of the integer lattice and a finite graph. This includes the infinite ladder, $k$-strips and infinite cylinders, which can be endowed with certain potentials.
Ammari, Kaïs, Sabri, Mostafa
openaire   +2 more sources

When Biology Meets Medicine: A Perspective on Foundation Models

Advanced Intelligent Discovery, EarlyView.
Artificial intelligence, and foundation models in particular, are transforming life sciences and medicine. This perspective reviews biological and medical foundation models across scales, highlighting key challenges in data availability, model evaluation, and architectural design.
Kunying Niu, Yuxing Wang, Limin Zou, Jing Huang   +3 more
wiley   +1 more source

Interval-Valued Fuzzy Soft Graphs

Topological Algebra and its Applications, 2017
In this paper, we combine concepts of interval-valued fuzzy soft sets and graph theory. Then we introduce notations of interval-valued fuzzy soft graphs and complete interval-valued fuzzy soft graphs.
Zihni Onur, Çelik Yıldıray, Kara Güven   +2 more
doaj   +1 more source

Adjacent vertex distinguishing acyclic edge coloring of the Cartesian product of graphs [PDF]

Transactions on Combinatorics, 2017
‎Let $G$ be a graph and $chi^{prime}_{aa}(G)$ denotes the minimum number of colors required for an‎ ‎acyclic edge coloring of $G$ in which no two adjacent vertices are incident to edges colored with the same set of colors‎. ‎We prove a general bound for $
Fatemeh Sadat Mousavi, Massomeh Noori
doaj   +1 more source

Deep Learning–Based Extraction of Promising Material Groups and Common Features from High‐Dimensional Data: A Case of Optical Spectra of Inorganic Crystals

Advanced Intelligent Discovery, EarlyView.
We report a novel interpretation method for deep learning models based on feature extraction and clustering. Applying this method to an atomistic line graph neural network (ALIGNN) model trained on optical absorption spectra of 2,681 inorganic compounds obtained from first‐principles calculations, we successfully identify key factors underlying ...
Akira Takahashi, Yu Kumagai, Arata Takamatsu, Fumiyasu Oba   +3 more
wiley   +1 more source

Weighted Szeged indices of some graph operations [PDF]

Transactions on Combinatorics, 2016
In this paper, the weighted Szeged indices of Cartesian product and Corona product of twoconnected graphs are obtained. Using the results obtained here, the weighted Szeged indices ofthe hypercube of dimension n, Hamming graph, C4 nanotubes, nanotorus ...
Kannan Pattabiraman, P. Kandan
doaj