Results 91 to 100 of about 1,376 (263)
Extremal subgraphs for two graphs
Journal of Combinatorial Theory, Series B, 1985 In this paper we study several interrelated extremal graph problems: (i) Given integers \(n,e,m\), what is the largest integer f(n,e,m) such that every graph with \(n\) vertices and \(e\) edges must have an induced m-vertex subgraph with at least \(f(n,e,m)\) edges? (ii) Given integers \(n,e,e'\), what is the largest integer \(g(n,e,e')\) such that any
Fan R. K. Chung +2 more
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Advanced Engineering Materials, EarlyView.This review comprehensively evaluates extrusion‐based additive manufacturing for advanced ceramics, detailing feedstock options and key process parameters. By critically addressing defect mechanisms like porosity and cracking, the work highlights optimization strategies through machine learning and advanced postprocessing.
Meisam Bakhtiari +4 more
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Advanced Engineering Materials, EarlyView.Controlling the Field Assisted Sintering Technology (FAST) parameters, dwell temperature and cooling rate, significantly influences the microstructural evolution in titanium aluminide GE4822. Significant γ‐lamellar colonies develop only upon cooling through the α‐transus.
Jack Krohn, James Pepper, Martin Jackson
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Bio‐Inspired Synthesis of Macroporous Single Crystal Particles as Scattering Agents
Advanced Functional Materials, EarlyView.A general strategy is presented that delivers unique, single‐crystal microparticles that combine submicron macroporosity and uniform particle shapes. A bioinspired approach is used to occlude three distinct types of additives – polystyrene microspheres, polymer vesicles and amino acids – within calcite single crystals, and subsequent thermal annealing ...
Stephanie E. Foster +11 more
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Two Short Proofs on Total Domination
Discussiones Mathematicae Graph Theory, 2013 A set of vertices of a graph G is a total dominating set if each vertex of G is adjacent to a vertex in the set. The total domination number of a graph Υt (G) is the minimum size of a total dominating set.
Bickle Allan
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Biodegradable and Biocompatible Functional Polymers for Biomedical Applications
Advanced Functional Materials, EarlyView.Biodegradable and biocompatible functional polymers integrate electrical, mechanical, and stimuli‐responsive functionalities while enabling programmed degradation under physiological conditions. This review introduces recent advances in conductive, shape‐memory, self‐healing, photocurable, and adhesive polymer systems, emphasizing material design ...
Won Bae Han +5 more
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On the Numbers of Cut-Vertices and End-Blocks in 4-Regular Graphs
Discussiones Mathematicae Graph Theory, 2014 A cut-vertex in a graph G is a vertex whose removal increases the number of connected components of G. An end-block of G is a block with a single cut-vertex.
Wang Dingguo, Shan Erfang
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, 2013 A graph G is singular if the zero-one adjacency matrix has the eigenvalue zero. The multiplicity of the eigenvalue zero is called the nullity of G. For two vertices y and z of G, we call (G, y, z) a device with respect to y and z. The nullities of G, G − y, G − z and G − y − z classify devices into different kinds.
Borg, Martha +4 more
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On a problem in extremal graph theory
Journal of Combinatorial Theory, Series B, 1977 From the authors introduction. Let \(G(n,m)\) denote a graph \((V,E)\) with \(n\) vertices and \(m\) edges and \(K_1\) a complete graph with \(i\) vertices. \textit{P.Turán} proved that every \(G(n,T(n,k))\) contains a \(K_k\), where \[ T(n,k) = \frac{k-2}{2(k-1)}(n^2-r^2)+\binom r2+1, \] \(r\equiv n(\mod k-1)\) and \(0\leq r\leq k-2\).
D. T. Busolini, Paul Erdös
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Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
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