Results 101 to 110 of about 67,461 (315)
The $$\circ$$ Operation and $$*$$ Operation of Fan Graphs
Mathematical NotesLet $G$ be a finite simple graph on the vertex set $V$ and let $I_G$ denote its edge ideal in the polynomial ring $S=\mathbb{K}[x_V]$. In this paper, we compute the depth and the Castelnuovo--Mumford regularity of $S/I_G$ when $G=F_{k}^{W}(K_n)$ is a $k$-fan graph, or $G=G_1\circ G_2$ or $G=G_1* G_2$ is the graph obtained from fan graphs $G_1$, $G_2 ...
Zhu, G., Cui, Y., Yang, Y., Yang, Y.
openaire +2 more sources
Artificial Intelligence as the Next Visionary in Liquid Crystal Research
Advanced Functional Materials, EarlyView.The functions of AI in the research laboratory are becoming increasingly sophisticated, allowing the entire process of hypothesis formulation, material design, synthesis, experimental design, and reiterative testing to be automated. In our work, we conceive how the incorporation of AI in the laboratory environment will transform the role and ...
Mert O. Astam +2 more
wiley +1 more source
Operator Algebras and Mauldin-Williams Graphs
Rocky Mountain Journal of Mathematics, 2007 14 pages, Latex; Rewrote parts of the introduction and the proof of the first main ...
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Advanced Functional Materials, EarlyView.ABSTRACT Breathable membranes that reject chemical warfare agents (CWAs) are required for next‐generation protective apparel. A dual‐function graphene oxide (GO)‐polyamine architecture is introduced that addresses the long‐standing tradeoff between vapor transmission and CWA selectivity.
Hyungjun Kim +6 more
wiley +1 more source
Beyond the Edge: Charge‐Transfer Excitons in Organic Donor‐Acceptor Cocrystals
Advanced Functional Materials, EarlyView.Complex excitonic landscapes in acene–perfluoroacene cocrystals are unveiled by polarization‐resolved optical spectroscopy and many‐body theory. This systematic study of a prototypical model system for weakly interacting donor–acceptor compounds challenges common views of charge‐transfer excitons, providing a refined conceptual framework for ...
Sebastian Anhäuser +6 more
wiley +1 more source
Graph operations and a unified method for kinds of Turán-type problems on paths, cycles and matchings [PDF]
, 2023 Jiangdong Ai +3 more
openalex +1 more source
Advanced Functional Materials, EarlyView.Molecularly engineered memristors integrating Ag nanoparticle–embedded synthetic DNA with quasi‐2D halide perovskites enable ultra‐low‐operational voltage, forming‐free resistive switching, and record‐low power density. This synergistic integration of customized DNA and 2D OHP in bio‐hybrid architecture enhances charge transport, reduces variability ...
Kavya S. Keremane +9 more
wiley +1 more source
Reciprocal degree distance of some graph operations [PDF]
Transactions on Combinatorics, 2013 The reciprocal degree distance (RDD), defined for a connected graph G as vertex-degreeweighted sum of the reciprocal distances, that is, RDD(G) = u,v∈PV(G) dG(u)+dG(v) dG(u,v) . The reciprocal degree distance is a weight version of the Harary index, just
Kannan Pattabiraman, M. Vijayaragavan
doaj
Graph Operator Modeling over Large Graph Datasets
, 2018 As graph representations of data emerge in multiple domains, data analysts need to be able to intelligently select among a magnitude of different data graphs based on the effects different graph operators have on them. Exhaustive execution of an operator over the bulk of available data sources is impractical due to the massive resources it requires ...
Bakogiannis, Tasos +3 more
openaire +2 more sources