Results 81 to 90 of about 27,884 (262)
Large matchings in maximal 1-planar graphs
Discrete MathematicsIt is well-known that every maximal planar graph has a matching of size at least $\tfrac{n+8}{3}$ if $n\geq 14$. In this paper, we investigate similar matching-bounds for maximal \emph{1-planar} graphs, i.e., graphs that can be drawn such that every edge has at most one crossing.
Therese Biedl, John Wittnebel
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Recognizing Optimal 1-Planar Graphs in Linear Time [PDF]
Algorithmica, 2016 A graph with n vertices is 1-planar if it can be drawn in the plane such that each edge is crossed at most once, and is optimal if it has the maximum of 4n-8 edges. We show that optimal 1-planar graphs can be recognized in linear time. Our algorithm implements a graph reduction system with two rules, which can be used to reduce every optimal 1-planar ...
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Advanced Functional Materials, EarlyView.Polymorph engineering in ErMnO3 enables low‐voltage, forming‐free threshold switching with tunable negative differential resistance. Conducting orthorhombic regions embedded in an insulating hexagonal matrix provide controlled Joule‐heating‐enhanced Poole–Frenkel transport. The hexagonal phase prevents excessive heating and breakdown.
Rong Wu +8 more
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Advanced Functional Materials, EarlyView.Micro‐injection laser‐assisted bioprinting enables ultrafast and precise patterning of small endothelial cell spheroids by injecting a highly concentrated single‐cell suspension into GelMA/ColMA hydrogels. In co‐culture with fibroblasts, controlled pre‐vasculogenic network formation is obtained at microscale resolution.
Charles Handschin +9 more
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In Situ 3D Bioprinting: Impact of Cross‐Linking on the Adhesive Properties of Hydrogels
Advanced Functional Materials, EarlyView.In situ 3D bioprinting enables the direct deposition of cell‐laden, adhesive biomaterials for on‐site tissue regeneration. This review provides a comprehensive overview of how cross‐linking influences the bioadhesive properties of hydrogels used in 3D bioprinting, highlighting cross‐linking triggers, bioadhesion mechanisms, polymer interpenetration ...
Odile Romero Fernandez +4 more
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Advanced Functional Materials, EarlyView.Atomically engineered layered 2D Ti3CNTz carbonitride MXene exhibits ultrahigh heat and pressure sensitivity, enabling dual‐mode sensors with 300%–400% performance enhancement and durability for real‐time health‐monitoring interface devices. Precise nitrogen incorporation (e.g., Ti3C1.8N0.2Tz) boosts conductivity, enhancing temperature response, while ...
Debananda Mohapatra +12 more
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Strong Chromatic Index Of Planar Graphs With Large Girth
Discussiones Mathematicae Graph Theory, 2014 Let Δ ≥ 4 be an integer. In this note, we prove that every planar graph with maximum degree Δ and girth at least 1 Δ+46 is strong (2Δ−1)-edgecolorable, that is best possible (in terms of number of colors) as soon as G contains two adjacent vertices of ...
Jennhwa Chang Gerard +3 more
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T-shape visibility representations of 1-planar graphs [PDF]
Computational Geometry, 2018 26 pages, 8 ...
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An Engineered Living Material With Pro‐Angiogenic Activity Inducible by Near‐Infrared Light
Advanced Functional Materials, EarlyView.NIR‐responsive engineered living materials (ELMs) for controlled angiogenesis: Near‐infrared (800 nm) light activates engineered probiotic bacteria within alginate‐based living materials to secrete a blood vessel‐regenerating protein. The released protein promotes pro‐angiogenic effects in endothelial networks and chick chorioallantoic membranes.
Anwesha Chatterjee +4 more
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Advanced Functional Materials, EarlyView.We report a polymer‐chain insertion strategy to fabricate pore‐threaded MOF thin films with precisely tuned surface chemistry and wettability. Grafting n‐alkane chains into the pillared layer Cu2(bdc)2(dabco) MOF thin film's vertical nanochannels enhances water stability, and induces hydrophobicity and lubricant‐free, solid‐like slippery behavior ...
Angana Borbora +4 more
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