Results 51 to 60 of about 16,885,510 (241)
Extremal estimates of the Wiener index for weakly connected directed graphs
The article considers the Wiener index for weakly connected directed graphs. For such graphs, the distance $d(u,v)$ between vertices $u$ and $v$ is not always defined, which requires a correction for the Wiener index to be meaningful.
Dmitry Y. Chalyy
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The energetic offset between the donor and the acceptor components in organic photoactive layers is central to the tradeoff between photovoltage and photocurrent losses. This Perspective covers the most important issues surrounding this topic in non‐fullerene acceptor blends, from the difficulty of accurately determining state energies and driving ...
Dieter Neher, Manasi Pranav
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On a relation between Szeged and Wiener indices of bipartite graphs [PDF]
Hansen et. al., using the AutoGraphiX software package, conjectured that the Szeged index Sz(G) and the Wiener index W(G) of a connected bipartite graph G with n ≥ 4 vertices and m ≥ n edges, obeys the relation Sz(G) − W(G) ≥ 4n − 8. Moreover, this bound
Ivan Gutman +3 more
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Bioengineered Interfaces for Peripheral Nerve Sensory Restoration
Half of amputees abandon their prosthetics for lack of feeling. This review charts the full path from peripheral nerve injury to restored sensation, through surgical, regenerative, noninvasive, and implanted approaches, and shows how injury type and interface material properties determine which strategy can deliver naturalistic feedback, and why ...
Sydney Swedick +4 more
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Inverse Problem on the Steiner Wiener Index
The Wiener index W(G) of a connected graph G, introduced by Wiener in 1947, is defined as W(G) =∑u,v∈V (G)dG(u, v), where dG(u, v) is the distance (the length a shortest path) between the vertices u and v in G. For S ⊆ V (G), the Steiner distance d(S) of
Li Xueliang, Mao Yaping, Gutman Ivan
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Applied here for the first time to a 2D material, high‐resolution synchrotron x‐ray Fourier transform holography directly images topological spin textures in Fe3GeTe2. Combined with atomistic tight‐binding simulations including itinerant electrons and Rashba spin‐orbit coupling, the approach reveals labyrinth, skyrmion, and mixed phases, and uncovers ...
Sourav Chowdhury +16 more
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Biodiversity of butterflies in endosulfan-affected areas of Kerala, India
Background Butterflies are considered as bio-indicators of a healthy and diversified ecosystem. Endosulfan was sprayed indiscriminately in large plantations of Kasaragod district, Kerala which had caused serious threats to the ecosystem.
K. N. Raghavendra +3 more
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The Wiener-Hopf solution of the isotropic penetrable wedge problem: diffraction and total field [PDF]
The diffraction of an incident plane wave by an isotropic penetrable wedge is studied using generalized Wiener-Hopf equations, and the solution is obtained using analytical and numerical-analytical approaches that reduce the Wiener-Hopf factorization to ...
Vito Daniele +3 more
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Elasticity‐Driven Periodic Polarization Patterns in a Chiral Ferroelectric Nematic Fluid
Chiral polar ferroelectric nematic fluids exhibit spontaneous formation of stripe, square, and hexagonal polarization textures under confinement. Controlled by thickness and anchoring, these patterns produce spatially modulated nonlinear optical responses.
Anej Sterle +11 more
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A Weak Convergence to Hermite Process by Martingale Differences
We consider the weak convergence to general Hermite process ZH,k of order k with index H. By applying martingale differences we construct a sequence {ZH,kn , n=1,2,…} of multiple Wiener-Itô stochastic integrals such that it converges in distribution to ...
Xichao Sun, Ronglong Cheng
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