Results 51 to 60 of about 1,396 (204)
On universal‐homogeneous hyperbolic graphs and spaces and their isometry groups
Abstract The Urysohn space is the unique separable metric space that is universal and homogeneous for finite metric spaces, that is, it embeds any finite metric space any isometry between finite subspaces extends to an isometry of the whole space. We here consider the existence of a universal‐homogeneous hyperbolic space. We show that for δ>0$\delta >0$
Katrin Tent
wiley +1 more source
Dimer models and conformal structures
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Introduction: Given the direct association with malignant ventricular arrhythmias, cardiotoxicity is a major concern in drug design. In the past decades, computational models based on the quantitative structure–activity relationship have been proposed to
Huijia Wang +7 more
doaj +1 more source
A tropical approach to rigidity: Counting realisations of frameworks
Abstract A realisation of a graph in the plane as a bar‐joint framework is rigid if there are finitely many other realisations, up to isometries, with the same edge lengths. Each of these finitely many realisations can be seen as a solution to a system of quadratic equations prescribing the distances between pairs of points.
Oliver Clarke +6 more
wiley +1 more source
Fractional Q-Edge-Coloring of Graphs
An additive hereditary property of graphs is a class of simple graphs which is closed under unions, subgraphs and isomorphism. Let be an additive hereditary property of graphs.
Czap Július, Mihók Peter
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On Multilevel Energy‐Based Fragmentation Methods
We investigate the working equations of energy‐based fragmentation methods and present ML‐SUPANOVA, a Möbius‐inversion‐based multilevel fragmentation scheme that enables adaptive, quasi‐optimal truncations to efficiently approximate Born‐Oppenheimer potentials across hierarchies of electronic‐structure methods and basis sets.
James Barker +2 more
wiley +1 more source
The scientist is hiking towards the treasure of accurate and predictive simulations of relevant phenomena. Molecular Dynamics shows a path riddled with obstacles such as accuracy, speed or sampling issues. Deep‐learning offers a way around these obstacles, but runs into hurdles of its own.
Klara Bonneau +15 more
wiley +1 more source
R Package FrF2 for Creating and Analyzing Fractional Factorial 2-Level Designs
This article describes the R package FrF2 for design and analysis of experiments with 2-level factors. The package offers both regular and non-regular fractional factorial 2-level designs, in the regular case with blocking and split plot facilities and ...
Ulrike Grömping
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GRAPES-DD: exploiting decision diagrams for index-driven search in biological graph databases
Background Graphs are mathematical structures widely used for expressing relationships among elements when representing biomedical and biological information. On top of these representations, several analyses are performed. A common task is the search of
Nicola Licheri +3 more
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Isomorphic Control in Energy Storage Systems Based on Graph‐Based Digital Twins
This paper proposes a graph‐based framework leveraging Activity‐on‐Edge networks to establish structural isomorphism between virtual models and physical controllers. Validated through a Mixed‐Integer Linear Programming‐based Automatic Generation Control strategy, the architecture effectively bridges the implementation gap, ensuring deterministic real ...
Zhijun Zhou +4 more
wiley +1 more source

