Results 61 to 70 of about 21,321 (296)

New Results on the Forgotten Topological Index and Coindex

open access: yesJournal of Mathematics, 2021
The ℱ-coindex (forgotten topological coindex) for a simple connected graph G is defined as the sum of the terms ζG2y+ζG2x over all nonadjacent vertex pairs x,y of G, where ζGy and ζGx are the degrees of the vertices y and x in G, respectively.
Akbar Jahanbani   +2 more
doaj   +1 more source

PREFERENTIAL ATTACHMENT WITH FITNESS DEPENDENT CHOICE

open access: yesФизико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2021
We study the asymptotic behavior of the maximum degree in the preferential attachment tree model with a choice based on both the degree and fitness of a vertex.
Y.A. Malyshkin
doaj   +1 more source

Chiral Phase Change Nanomaterials

open access: yesAdvanced Functional Materials, EarlyView.
This work demonstrates reversible, non‐volatile phase transitions in chiral Ge2${\rm Ge}_2$Sb2${\rm Sb}_2$Te5${\rm Te}_5$ (GST) nanohelices for high‐speed optical modulation of chirality and dynamic control of the state of polarization (SOP). The chiral nanostructures are fabricated using a highly directional, wafer‐scale physical vapor deposition ...
Joshua A. Burrow   +11 more
wiley   +1 more source

Random graphs with forbidden vertex degrees [PDF]

open access: yes, 2007
We study the random graph Gn,λ/n conditioned on the event that all vertex degrees lie in some given subset S of the nonnegative integers. Subject to a certain hypothesis on S, the empirical distribution of the vertex degrees is asymptotically Poisson ...
Geoffrey Grimmett, Svante Janson
core  

Induced Subgraphs With Many Distinct Degrees [PDF]

open access: yes, 2017
Let hom(G) denote the size of the largest clique or independent set of a graphG. In 2007, Bukh and Sudakov proved that everyn-vertex graphGwith hom(G) =O(logn) contains an induced subgraph with Ω(n1/2) distinct degrees, and raised the question of ...
ISTVÁN TOMON, BHARGAV NARAYANAN
core   +1 more source

Interstitium‐Mimicking Porous Alveolar Membranes Enable Physiologic Aerosol Transport and Distinct Acute‐Chronic Lung Injury Responses

open access: yesAdvanced Functional Materials, EarlyView.
An interstitium‐mimicking membrane combines three‐dimensional alveolar geometry, high pore interconnectivity, and mechanical compliance to overcome transport limitations of conventional lung‐on‐chip barriers. The resulting platform supports physiologic aerosol transport, quantitative analysis of cross‐barrier particle movement, and reveals divergent ...
Jae‐Won Choi   +11 more
wiley   +1 more source

Almost sure convergence of vertex degree densities in the vertex splitting model [PDF]

open access: yesStochastic Models, 2016
1 ...
Stefánsson, Sigurdur Örn   +1 more
openaire   +2 more sources

Stochastically Generated Digital Twins of 3D Solid‐State Electrolyte Architecture

open access: yesAdvanced Functional Materials, EarlyView.
A stochastic model and validation suite were developed to produce the highest fidelity computer‐generated (Digital Twin) microstructures of random porous tape‐cast solid‐state battery architectures across µm to mm feature sizes from FIB‐SEM to X‐Ray µCT, respectively.
Jonathan O'Neill   +9 more
wiley   +1 more source

Nanoscale Spatial Tuning of Superconductivity in Cuprate Thin Films via Direct Laser Writing

open access: yesAdvanced Functional Materials, EarlyView.
Maskless direct laser writing enables local control of oxygen stoichiometry in epitaxial YBCO thin films under ambient conditions. Sub‐micrometer grayscale patterns with tunable optical response and superconducting transport properties are achieved.
Irene Biancardi   +11 more
wiley   +1 more source

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