New lower bound for the optimal ball packing density in hyperbolic 4-space. (English) Zbl 1314.52018
Reviewer: Elizaveta Zamorzaeva (Chişinău)
Found 657 Documents (Results 201–300)
The local minima in the lattice-simplex covering problem. (English) Zbl 1310.52021
Reviewer: Elizaveta Zamorzaeva (Chişinău)
MSC:
52C17
An estimate about upper convex density on the vertexes of a class of Sierpinski carpets. (Chinese. English summary) Zbl 1313.28006
A candidate for the densest packing with equal balls in Thurston geometries. (English) Zbl 1301.52035
Upper bounds on packing density for circular cylinders with high aspect ratio. (English) Zbl 1302.52018
Reviewer: Anton Shutov (Vladimir)
Application of an idea of Voronoĭ to lattice packing. (English) Zbl 1297.05047
Reviewer: Anton Shutov (Vladimir)
Volumes and geodesic ball packings to the regular prism tilings in \(\widetilde{\mathbf{SL}_{\mathbf 2}\mathbb R}\) space. (English) Zbl 1299.52024
Packing and covering with centrally symmetric convex disks. (English) Zbl 1298.52020
Reviewer: Anton Shutov (Vladimir)
The Hausdorff dimension of operator semistable Lévy processes. (English) Zbl 1301.60064
Reviewer: Sophia L. Kalpazidou (Thessaloniki)
On the translative packing densities of tetrahedra and cuboctahedra. (English) Zbl 1295.52023
Reviewer: Christian Richter (Jena)
Geometric series with randomly increasing exponents. (English) Zbl 1292.26029
Reviewer: Zu-Guo Yu (Xiangtan)
Minimal \(N\)-point diameters and \(f\)-best-packing constants in \(\mathbb R^d\). (English) Zbl 1286.52008
MSC:
52C17
Packing polyominoes clumsily. (English) Zbl 1284.05057
Reviewer: Ioan Tomescu (Bucureşti)
A note on sphere packings in high dimension. (English) Zbl 1337.52014
Reviewer: Iskander Aliev (Cardiff)
Particle packing and the mean theory. (English) Zbl 1298.52024
MSC:
52C17
Commutative group codes in \(\mathbb R^4\), \(\mathbb R^6\), \(\mathbb R^8\) and \(\mathbb R^{16}\)-approaching the bound. (English) Zbl 1339.94095
An isolated toughness condition for graphs to be fractional \((a, b, k)\)-critical graphs. (English) Zbl 1293.05311
An equivalent condition for the self similar sets on the real line to have best coverings. (English) Zbl 1292.28011
Reviewer: Zu-Guo Yu (Xiangtan)
Decomposition of sparse graphs into forests and a graph with bounded degree. (English) Zbl 1276.05092
Online square-into-square packing. (English) Zbl 1407.68561
Raghavendra, Prasad (ed.) et al., Approximation, randomization, and combinatorial optimization. Algorithms and techniques. 16th international workshop, APPROX 2013, and 17th international workshop, RANDOM 2013, Berkeley, CA, USA, August 21–23, 2013. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8096, 126-141 (2013).
Dimension of the boundary in different metrics. (English) Zbl 1277.28006
Reviewer: Anna Savvopoulou (South Bend)
MSC:
28A78
An upper bound on density for packings of collars about hyperplanes in \({\mathbb{H}^n}\). (English) Zbl 1290.52013
Reviewer: A. E. Litvak (Edmonton)
Horoball packings to the totally asymptotic regular simplex in the hyperbolic \(n\)-space. (English) Zbl 1277.52020
Reviewer: Iskander Aliev (Cardiff)
Contact graphs of unit sphere packings revisited. (English) Zbl 1273.52022
Reviewer: Christian Richter (Jena)
On lattice coverings of Nil space by congruent geodesic balls. (English) Zbl 1272.52038
Reviewer: Christian Richter (Jena)
Packing Coxeter honeycombs with sequences of spheres. (English) Zbl 1287.52013
Reviewer: Iskander Aliev (Cardiff)
The Hausdorff dimension of level sets of Rademacher series. (Chinese. English summary) Zbl 1274.28018
Contact numbers for congruent sphere packings in Euclidean 3-space. (English) Zbl 1259.52013
Reviewer: A. E. Litvak (Edmonton)
MSC:
52C17
Geodesic ball packings in \({H}^2\times{R}\) space for generalized Coxeter space groups. (English) Zbl 1253.52008
Horoball packings and their densities by generalized simplicial density function in the hyperbolic space. (English) Zbl 1274.52029
Reviewer: A. E. Litvak (Edmonton)
An equivalent of Kronecker’s theorem for powers of an algebraic number and structure of linear recurrences of fixed length. (English) Zbl 1266.11085
Reviewer: Artūras Dubickas (Vilnius)
Exact packing measure of central Cantor sets in the line. (English) Zbl 1229.28015
Reviewer: Jeremy Tyson (Urbana)
MSC:
28A80
Selective survey on subset combinatorics of groups. (English. Ukrainian original) Zbl 1283.20029
J. Math. Sci., New York 174, No. 4, 486-514 (2011); translation from Ukr. Mat. Visn. 7, No. 2, 220-257 (2010).
Dense sphere-packings. (Dichte Kugelpackungen.) (German) Zbl 1262.52017
Wendland, Katrin (ed.) et al., Facettenreiche Mathematik. Einblicke in die moderne mathematische Forschung für alle, die mehr von Mathematik verstehen wollen. Wiesbaden: Vieweg+Teubner (ISBN 978-3-8348-1414-2/pbk; 978-3-8348-8173-1). Mathematik Populär, 307-325 (2011).
Reviewer: Christian Richter (Jena)
Distances in graph partitioning. (English) Zbl 1254.05156
Bichot, Charles-Edmond (ed.) et al., Graph partitioning. Hoboken, NJ: John Wiley & Sons; London: ISTE (ISBN 978-1-84821-233-6/hbk). 275-295 (2011).
On the chromatic number of random geometric graphs. (English) Zbl 1263.05097
Reviewer: David B. Penman (Colchester)
On computing an optimal semi-matching. (English) Zbl 1341.05207
Kolman, Petr (ed.) et al., Graph-theoretic concepts in computer science. 37th international workshop, WG 2011, Teplá Monastery, Czech Republic, June 21–24, 2011. Revised papers. Berlin: Springer (ISBN 978-3-642-25869-5/pbk). Lecture Notes in Computer Science 6986, 250-261 (2011).
Comparing the Hausdorff and packing measures of sets of small dimension in metric spaces. (English) Zbl 1238.28008
Reviewer: Zu-Guo Yu (Xiangtan)
MSC:
28A78
Factor map, diamond and density of pressure functions. (English) Zbl 1236.37021
Reviewer: Eugen Mihailescu (Bucureşti)
Uniqueness of lattice packings and coverings of extreme density. (English) Zbl 1230.52030
Reviewer: Christian Richter (Jena)
Voronoĭ type criteria for lattice coverings with balls. (English) Zbl 1238.05051
Reviewer: Gerald L. Alexanderson (Santa Clara)
Improved sphere packing lower bounds from Hurwitz lattices. (English) Zbl 1228.11095
Reviewer: A. E. Litvak (Edmonton)
Graph theory and applications with exercises and problems. 2nd revised and enlarged ed. (Théorie des graphes et applications avec exercices et problèmes.) (French) Zbl 1227.05001
Collection Informatique. Paris: Hermes; Paris: Lavoisier (ISBN 978-2-7462-3215-0/pbk). 332 p. (2011).
Reviewer: Reinhardt Euler (Brest)
Note on a conjecture of Wegner. (English) Zbl 1218.52018
Reviewer: Agota H. Temesvári (Pécs)
On a refinement of Craig’s lattices. (English) Zbl 1228.11094
Reviewer: Florin Nicolae (Berlin)
Nonsymmetric conical upper density and \(k\)-porosity. (English) Zbl 1259.28006
Reviewer: Boris A. Kats (Kazan)
An improved fully polynomial randomized approximation scheme (FPRAS) for counting the number of Hamiltonian cycles in dense digraphs. (English) Zbl 1209.68388
On covering by translates of a set. (English) Zbl 1238.05049
Reviewer: Tadashi Sakuma (Yamagata)
Kepler’s conjecture. How some of the greatest minds in history helped solve one of the oldest math problems in the world. Transl. from the English by Manfred Stern. (Die Keplersche Vermutung. Wie Mathematiker ein 400 Jahre altes Rätsel lösten.) (German) Zbl 1206.52001
Berlin: Springer (ISBN 978-3-642-12740-3/hbk; 978-3-642-12741-0/ebook). xii, 323 p. (2011).
A hierarchical approach to simulate the packing density of particle mixtures on a computer. (English) Zbl 1267.74030
Covering a planar region by randomly distributed sensors. (Russian. English summary) Zbl 1249.68002
Toughness of graphs and 2-factors with given properties. (English) Zbl 1249.05231
Reviewer: Martin Pergel (Praha)
Isolated toughness and existence of fractional \((g,f)\)-factors in graphs. (Chinese. English summary) Zbl 1240.05179
Lattice and construction of high coding gain lattices from codes. (English) Zbl 1213.94189
Woungang, Isaac (ed.) et al., Selected topics in information and coding theory. Hackensack, NJ: World Scientific (ISBN 978-981-283-716-5/hbk; 978-981-283-717-2/ebook). Series on Coding Theory and Cryptology 7, 41-76 (2010).
Reviewer: Ioan Tomescu (Bucureşti)
Dense binary sphere packings. (English) Zbl 1342.52018
Covering and packing in \({\mathbb Z^n}\) and \({\mathbb R^n}\). II. (English) Zbl 1247.11093
Reviewer: Roland Quême (Brax)
General Hausdorff functions, and the notion of one-sided measure and dimension. (English) Zbl 1196.28010
Reviewer: Zu-Guo Yu (Xiangtan)
Unavoidable crossings in a thinnest plane covering with congruent convex disks. (English) Zbl 1190.52015
Reviewer: Horst Martini (Chemnitz)
MSC:
52C15
Covering the plane with translates of a triangle. (English) Zbl 1189.52019
Reviewer: Egon Schulte (Boston)
MSC:
52C15
Packing sets of patterns. (English) Zbl 1228.05116
Influence of the geometric factor on the volume properties of triple mixtures. (English. Russian original) Zbl 1201.82046
Russ. Phys. J. 52, No. 9, 971-977 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 2009, No. 9, 75-80 (2009).
MSC:
82D20
Optimal families of two and three-dimensional lattice packings from polynomials with integer coefficients. (English) Zbl 1203.11050
Reviewer: Florin Nicolae (Berlin)
On similarity classes of well-rounded sublattices of \(\mathbb Z^2\). (English) Zbl 1175.11031
Reviewer: Ranjeet Sehmi (Chandigarh)
Disturbed diffusive processes for solving partitioning problems on graphs. (English) Zbl 1408.05003
Paderborn: Univ. Paderborn, Fakultät für Elektrotechnik, Informatik und Mathematik (Diss.). x, 139 p. (2008).
The pointwise lower density of middle-fifth Cantor measure. (Chinese. English summary) Zbl 1199.28038
Hausdorff measure of Sierpinski sponge generated by normal tetrahedron. (Chinese. English summary) Zbl 1199.28013
MSC:
28A78
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