Results 11 to 20 of about 230,953 (263)
Journal of Graph Algorithms and Applications, 2011 In this work, we introduce the notion of triangle sparsifiers, i.e., sparse graphs which are approximately the same to the original graph with respect to the triangle count.
Charalampos Tsourakakis +2 more
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Hamilton Triangle of a Triangle in the Isotropic Plane [PDF]
Mathematica Pannonica, 2022 In this paper we introduce the concept of the Hamilton triangle of a given triangle in an isotropic plane and investigate a number of important properties of this concept. We prove that the Hamilton triangle is homological with the observed triangle and with its contact and complementary triangles. We also consider some interesting statements about the
Kolar-Begović, Zdenka +1 more
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, 2023 The solitaire of independence is a groupoid action resembling the classical 15-puzzle, which gives information about independent sets of coordinates in a totally extremally permutive subshift. We study the solitaire with the triangle shape, which corresponds to the spacetime diagrams of bipermutive cellular automata with radius 1/2.
Ville Salo, Juliette Schabanel
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Monochromatic Triangles, Triangle Listing and APSP [PDF]
2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS), 2020 To appear in FOCS ...
Williams, Virginia Vassilevska +1 more
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Dissection of a Triangle into Similar Triangles [PDF]
Discrete & Computational Geometry, 2005 For \(n\geq 2\), let \(f(n)\) be the number of triangles that can be dissected into \(n\) similar nonright triangles, and let \(g(n)\) be the number of nonsimilar nonright triangles \(T\) that can be dissected into \(n\) parts similar to \(T\). It follows from an example of \textit{H. Kaiser} [Elem. Math. 46, 106--111 (1991; Zbl 0744.05004)] that \(f(n)
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The American Mathematical Monthly, 2023 A long-standing, unanswered question regarding Euclid's Elements concerns the absence of a theorem for the concurrence of the altitudes of a triangle, and the possible reasons for this omission. In the centuries following Euclid, a remarkable number of proofs have been put forward; this suggests a search for the most elementary and direct proof.
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The EuroCALL Review, 2012 Institutional investment in technology and infrastructure for the provision of new online and self-access language learning opportunities is not always accompanied by the necessary changes in the practices of learners, practitioners and managers in higher education (Wertsch, 2002).
Montoro, Carlos, Hampel, Regine
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Discrete Mathematics, 2015 19 pages, 4 figures ...
Teeradej Kittipassorn, Gábor Mészáros
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Canonical metrics on generalized Hartogs triangles
Comptes Rendus. Mathématique, 2022 This paper is concerned with the canonical metrics on generalized Hartogs triangles. As main contributions, we first show the existence of a Kähler–Einstein metric on generalized Hartogs triangles.
Bi, Enchao, Hou, Zelin
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A rational sine and cosine of the angles of a triangle
Lietuvos Matematikos Rinkinys, 2013 The article deals with triangles whose sines and cosines of the angles are the rational numbers. We prove that these triangles are similar to Pythagorean or Heronian triangles, and vice versa.
Edmundas Mazėtis +1 more
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