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Titlebook: Convexity and Discrete Geometry Including Graph Theory; Mulhouse, France, Se Karim Adiprasito,Imre Bárány,Costin Vilcu Conference proceedin

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https://doi.org/10.1007/978-3-8350-5469-1ne digraph of . equals the number of vertices of . that are neither sources nor sinks. . If . contains no loops, the intersection numbers of total digraph, middle digraph and subdivision digraph of . are all equal to the number of vertices of . that are not sources, added to the number of vertices of . that are not sinks.
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,Geschlecht, Männlichkeit und Vaterschaft,compositions has enhanced the author construction of exponentially many hypohamiltonian snarks. The resulting significant improvement of lower estimates for the number of the constructed graphs will be exemplified.
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A Science of Mathematical Education,for the fractional Helly theorem for boxes. We also use the Fox–Gromov–Lafforgue–Naor–Pach results to derive a fractional Erdős–Stone theorem for semi-algebraic graphs in order to obtain a second proof of the fractional Helly theorem for boxes.
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Promotion of Self-Regulated Learning,nteger, on the one hand there exists a (2., .) complex equiangular tight frame and for any . there exists a . complex equiangular tight frame depending on one unit complex number, and on the other hand there exist a family of . complex equiangular tight frames depending on two unit complex numbers.
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Transformations of Digraphs Viewed as Intersection Digraphsne digraph of . equals the number of vertices of . that are neither sources nor sinks. . If . contains no loops, the intersection numbers of total digraph, middle digraph and subdivision digraph of . are all equal to the number of vertices of . that are not sources, added to the number of vertices of . that are not sinks.
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Multi-compositions in Exponential Counting of Hypohamiltonian Snarkscompositions has enhanced the author construction of exponentially many hypohamiltonian snarks. The resulting significant improvement of lower estimates for the number of the constructed graphs will be exemplified.
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About the Hausdorff Dimension of the Set of Endpoints of Convex Surfaces Hausdorff measure is positive. We also address several related problems. An . is a point not lying in the interior of any shortest path in .. “Most” means that the exceptions constitute a meager set, relatively to the usual Pompeiu-Hausdorff distance.
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