Results 61 to 70 of about 445,337 (327)
Precursor Mineral Phases of Forming Mollusk Shell Nacre: A Study of Hydrated Samples
Advanced Functional Materials, EarlyView.Mineral, organic phase, and water are the essential components in mollusk shell nacre formation. Their interplay is not well understood, because the hydrated material is difficult to observe at high resolution, under close to native conditions. Forming nacre is studied using environmental and cryo‐electron microscopy and hydrated ACC phases, together ...
Anna Kozell +4 more
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A Fan-Type Heavy Pair Of Subgraphs For Pancyclicity Of 2-Connected Graphs
Discussiones Mathematicae Graph Theory, 2016 Let G be a graph on n vertices and let H be a given graph. We say that G is pancyclic, if it contains cycles of all lengths from 3 up to n, and that it is H-f1-heavy, if for every induced subgraph K of G isomorphic to H and every two vertices u, v ∈ V (K)
Wideł Wojciech
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Counting Hamilton cycles in sparse random directed graphs
, 2018 Let D(n,p) be the random directed graph on n vertices where each of the n(n-1) possible arcs is present independently with probability p. A celebrated result of Frieze shows that if $p\ge(\log n+\omega(1))/n$ then D(n,p) typically has a directed Hamilton
Alon book N. +7 more
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Hamilton Cycles, Minimum Degree, and Bipartite Holes [PDF]
Journal of Graph Theory, 2017 AbstractWe present a tight extremal threshold for the existence of Hamilton cycles in graphs with large minimum degree and without a large “bipartite hole” (two disjoint sets of vertices with no edges between them). This result extends Dirac's classical theorem, and is related to a theorem of Chvátal and Erdős.
McDiarmid, C, Yolov, N
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Advanced Functional Materials, EarlyView.A FeN4─O/Clu@NC‐0.1Ac catalyst containing atomically‐dispersed FeN4─O sites (medium‐spin Fe2+) and Fe clusters delivered a half‐wave potential of 0.89 V for ORR and an overpotential of 330 mV at 10 mA cm−2 for OER in 0.1 m KOH. When the catalyst was used in a rechargeable Zn–air battery, a power density of 284.5 mW cm−2 was achieved with excellent ...
Yongfang Zhou +8 more
wiley +1 more source
Hamiltonicity and Generalised Total Colourings of Planar Graphs
Discussiones Mathematicae Graph Theory, 2016 The total generalised colourings considered in this paper are colourings of graphs such that the vertices and edges of the graph which receive the same colour induce subgraphs from two prescribed hereditary graph properties while incident elements ...
Borowiecki Mieczysław, Broere Izak
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Hamilton cycles in Euler tour graph
Journal of Combinatorial Theory, Series B, 1986 The Euler tour graph of an Euler graph G denoted by \(E_ u(G)\) is the undirected simple graph defined as follows: The vertices of \(E_ u(G)\) are the Euler tours of G and two Euler tours E and F are adjacent in \(E_ u(G)\) if they can be transformed from each other by a K- transformation which was introduced by Kotzig in 1966.
Zhang, F. J., Guo, X. F.
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A Polynomial time Algorithm for Hamilton Cycle with maximum Degree 3
, 2020 Based on the famous Rotation-Extension technique, by creating the new concepts and methods: broad cycle, main segment, useful cut and insert, destroying edges for a main segment, main goal Hamilton cycle, depth-first search tree, we develop a polynomial ...
Du, Lizhi
core
The Hamilton-Waterloo Problem with even cycle lengths
, 2019 The Hamilton-Waterloo Problem HWP$(v;m,n;\alpha,\beta)$ asks for a 2-factorization of the complete graph $K_v$ or $K_v-I$, the complete graph with the edges of a 1-factor removed, into $\alpha$ $C_m$-factors and $\beta$ $C_n$-factors, where $3 \leq m < n$
Burgess, A. C. +2 more
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Cold Quad‐Modal Nanocomplex for Precise and Quantitative In Vivo Stem Cell Tracking
Advanced Functional Materials, EarlyView.Multimodal albumin–bismuth sulfide–superparamagnetic iron oxide (ABS) nanocomplexes are developed for stem cell tracking across four different imaging modalities: MRI, MPI, MSOT, and CT. Combining its flexibility with high sensitivity, this quad‐modal imaging agent enables a robust quantification of ABS‐labeled stem cells in vivo.
Ali Shakeri‐Zadeh +4 more
wiley +1 more source