Results 131 to 140 of about 5,888,750 (277)
Application of Symmetric Division Deg Index of Graph Under Fuzzy Environment
International Journal of Computational Intelligence SystemsFuzzy graph theory, renowned for its capacity to manage uncertainty and capture varying degrees of relationships, has surfaced as a powerful framework for modeling and addressing complex problems across diverse domains such as medicine, social networks ...
Umapada Jana, Ganesh Ghorai
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Det-Extremal Cubic Bipartite Graphs
, 2003 Let G be a connected k-regular bipartite graph with bipartition $V(G) = X \cap Y$ and adjacency matrix A. We say G is det-extremal if per(A) = |det(A)|. Det-extremal k-regular bipartite graphs exist only for k = 2 or 3.
D. Labbate +6 more
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Advanced Science, EarlyView.An optimized single‐cell transcriptomic framework profiles over 60 000 cells to map the ovine rumen microbiome, partitioning the ecosystem into seven cross‐species functional clusters. In heat‐resistant hosts, a lineage‐specific metabolic shift in Anaerovibrio lipolyticus toward a highly glycolytic phenotype contributes to a “nutritional sparing ...
Sanbao Zhang +8 more
wiley +1 more source
Journal of Physics: ComplexityHigher-order interactions are increasingly being recognized as fundamental to our understanding of complex systems, networks, and the development of the next generation of AI algorithms.
Aida Abiad +33 more
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Physics‐Informed Neural Network‐Enabled Forward Prediction and Inverse Design of Ring Origami
Advanced Science, EarlyView.This work presents a KRT‐PINN framework that integrates Kirchhoff rod theory with physics‐informed neural networks for the forward prediction and inverse design of ring origami consisting of closed‐loop rods. The framework predicts stable states of segmented rings with prescribed natural‐curvature profiles and determines the natural‐curvature profiles ...
Luyuan Ning +3 more
wiley +1 more source
On lower bounds for the energy of graphs
Arab Journal of Basic and Applied SciencesThe concept of the energy of a graph was introduced by Gutman in 1978, inspired by the Hückel molecular orbital theory, which approximates the total [Formula: see text]-electron energy of a conjugated hydrocarbon molecule using the energy of its ...
B. R. Rakshith, L. Yashaswini
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Causal‐Guided Ultra‐Long‐Term Time Series Forecasting Via Anticipated Covariates
Advanced Science, EarlyView.Often treated as unknown, information from the future remains underutilized.We demonstrate that in a coupled dynamical system, providing the future state of the effect enables accurate forecasting of the cause for a long timesteps. A time series forecasting paradigm that introduces anticipated covariates to represent such known future states is ...
Jintong Zhao +4 more
wiley +1 more source
A general theorem in spectral extremal graph theory [PDF]
Tur´an numbers are a cornerstone of extremal graph theory. Their asymptotics are completely known when forbidding graphs with chromatic number at least three, however they remain unknown for several basic bipartite graphs. Nikiforov introduced a spectral
Desai, Dheer Noal
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Polarization Dynamics in Ferroelectrics: Insights Enabled by Machine Learning Molecular Dynamics
Advanced Science, EarlyView.Machine learning molecular dynamics is presented as a route to capture polarization switching, domain wall kinetics, topological polar textures, and polar mechanical coupling beyond the limits of conventional atomistic methods. This Perspective surveys recent progress and identifies key methodological directions, including long‐range electrostatics ...
Dongyu Bai +3 more
wiley +1 more source
Applications of flag algebras to problems in extremal graph theory [PDF]
May2026This thesis explores several applications of flag algebras in extremal graph theory. We construct flag algebras in two ways, one based in model theory and one based in graph theory.
Miyasaki, Sydney, Jasper
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