Results 71 to 80 of about 94,026 (313)
The number of spanning trees of cyclic snakes
Indonesian Journal of CombinatoricsA cyclic snake is a connected graph formed by connecting, by means of vertex amalgamation, a certain number of copies of the cycle Cn, in such a way that the i-th copy of Cn is connected with the (i+1)-th copy, resulting in a graph with maximum degree 4.
Christian Barrientos
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Spanning trees homeomorphic to a small tree
Discrete Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akira Saito, Kazuki Sano
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Machine Learning‐Assisted Inverse Design of Soft and Multifunctional Hybrid Liquid Metal Composites
Advanced Functional Materials, EarlyView.A machine learning framework is presented for inverse design of synthesizable multifunctional composites containing both liquid metal and solid inclusions. By integrating physics‐based modeling, data‐driven prediction, and Bayesian optimization, the approach enables intelligent design of experiments to identify optimal compositions and realize these ...
Lijun Zhou +5 more
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Spanning trees for many different numbers of leaves [PDF]
Discrete Mathematics & Theoretical Computer ScienceLet $G$ be a connected graph and $L(G)$ the set of all integers $k$ such that $G$ contains a spanning tree with exactly $k$ leaves. We show that for a connected graph $G$, the set $L(G)$ is contiguous.
Kenta Noguchi, Carol T. Zamfirescu
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Advanced Functional Materials, EarlyView.This work developed a smart Janus wood membrane integrating asymmetric wettability with built‐in electrical sensing for oil‐water separation. The membrane achieved > 99.5% separation efficiency and high flux by leveraging wood's natural anisotropic pore structure.
Kaiwen Chen +10 more
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Minimum spanning tree reconstruction using autoencoders [PDF]
, 2022 Minimum spanning trees are widely used graph structures used to find relationships between data organized in a graph. This work proposes a new approach based on neural networks, in particular, autoencoders, to extrapolate this tree from the dissimilarity
Castelletto, Riccardo
core
Discrete Mathematics, 1992 The author deals with infinite graphs. R. Halin defined an end \(E\) of an infinite graph \(G\) as a set of 1-way infinite paths in \(G\) such that vertices \(P\) and \(Q\) are in \(E\) iff for any subset \(R\) of the vertice set there is a finite path in \(G-R\) joining \(P\) and \(Q\). The author proves that if \(T\) is a locally finite spanning tree
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Spanning Trees of Bounded Degree [PDF]
The Electronic Journal of Combinatorics, 2001 Dirac's classic theorem asserts that if ${\bf G}$ is a graph on $n$ vertices, and $\delta({\bf G})\ge n/2$, then ${\bf G}$ has a hamilton cycle. As is well known, the proof also shows that if $\deg(x)+\deg(y)\ge(n-1)$, for every pair $x$, $y$ of independent vertices in ${\bf G}$, then ${\bf G}$ has a hamilton path. More generally, S.
Andrzej Czygrinow +4 more
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Twin Crystal Moiré Metasurfaces for Crossing Flat‐Band Transport
Advanced Functional Materials, EarlyView.This study introduces twin crystal moiré metasurfaces, breaking in‐plane symmetry to enable reconfigurable acoustic wave manipulation. By adjusting the twin angle and interlayer twist angle, various combinations of hyperbolic, flat bands, and elliptic states can be synthesized in the system.
Shida Fan +9 more
wiley +1 more source
Advanced Healthcare Materials, EarlyView.Packed hydrogel microfiber (PHM) materials consist of flexible and high aspect ratio hydrogel components that, as a bulk material, are simultaneously mechanically robust and dynamic. Cells cultured in or on PHM scaffolds can be influenced by topographical cues or interact with a dynamic environment that permits cell spreading and multicellular ...
M. Gregory Grewal +7 more
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