Found 657 Documents (Results 1–100)
Lower bound on translative covering density of tetrahedra. (English) Zbl 07869099
Reviewer: Lionel Pournin (Paris)
From the separable Tammes problem to extremal distributions of great circles in the unit sphere. (English) Zbl 1541.52014
Lower bound on the translative covering density of octahedra. (English) Zbl 1543.52020
Reviewer: Christian Richter (Jena)
Packing density of sets with only two non-mixed gaps. arXiv:2407.01101
Preprint, arXiv:2407.01101 [math.CO] (2024).
Resolution of the Kohayakawa-Kreuter conjecture. arXiv:2402.03045
Preprint, arXiv:2402.03045 [math.CO] (2024).
When ternary triangulated disc packings are densest: examples, counter-examples and techniques. (English) Zbl 07927889
Chambers, Erin W. (ed.) et al., 39th international symposium on computational geometry, SoCG 2023, Dallas, Texas, USA, June 12–15, 2023. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 258, Article 32, 17 p. (2023).
MSC:
68U05
Coverings with horo-and hyperballs generated by simply truncated orthoschemes. (English) Zbl 1536.52016
Unavoidable crossings in finite coverings. (English) Zbl 07829403
Reviewer: Vasyl Gorkaviy (Kharkov)
The spherical density properties of self-similar sets. (Chinese. English summary) Zbl 07828133
Stacking of half-discs in the plane. (Empilement de demi-disques dans le plan.) (French) Zbl 1543.51016
Reviewer: Franz Lemmermeyer (Jagstzell)
Local geometry of self-similar sets: typical balls, tangent measures and asymptotic spectra. (English) Zbl 1532.28012
New lower bounds for optimal horoball packing density in hyperbolic \(n\)-space for \(6\le n\le 9\). (English) Zbl 1516.52014
Reviewer: Elizaveta Zamorzaeva (Chişinău)
An upper bound of the density for packing of congruent hyperballs in hyperbolic \(3\)-space. (English) Zbl 1518.52011
Reviewer: Christian Richter (Jena)
Spectral conditions for connectivity, toughness and perfect \(k\)-matchings of regular graphs. (English) Zbl 1512.05245
Reviewer: Nikolaos Fountoulakis (Birmingham)
Box-counting dimensions of popcorn subsets. (English) Zbl 1512.11013
Reviewer: Takao Komatsu (Hangzhou)
Measures, annuli and dimensions. (English) Zbl 07658204
Packing disks into disks with optimal worst-case density. (English) Zbl 1510.52013
Reviewer: Christian Richter (Jena)
On an Erdős similarity problem in the large. arXiv:2311.06727
Preprint, arXiv:2311.06727 [math.CA] (2023).
Coverings with congruent and non-congruent hyperballs generated by doubly truncated Coxeter orthoschemes. (English) Zbl 1505.52019
Density maximizers of layered permutations. (English) Zbl 1498.05008
MSC:
05A05
Packings with geodesic and translation balls and their visualizations in \(\widetilde{\mathbf{SL}_2\mathbf{R}}\) space. (English) Zbl 1496.52020
Cones, rectifiability, and singular integral operators. (English) Zbl 1502.42009
Reviewer: Sibei Yang (Lanzhou)
Rotated \(A_n \)-lattice codes of full diversity. (English) Zbl 1502.11077
Reviewer: Ranjeet Sehmi (Chandigarh)
A polynomial-time algorithm to determine (almost) Hamiltonicity of dense regular graphs. (English) Zbl 1491.05120
Local 2-separators. (English) Zbl 1490.05213
Density of binary disc packings: the nine compact packings. (English) Zbl 1493.52018
Reviewer: Christian Richter (Jena)
MSC:
52C15
Geometry of \(1\)-codimensional measures in Heisenberg groups. (English) Zbl 1500.28002
Reviewer: Antoine Julia (Paris)
Dual linear programming bounds for sphere packing via modular forms. (English) Zbl 1543.90253
Reviewer: Xueliang Li (Tianjin)
New bounds on the density of lattice coverings. (English) Zbl 1480.11086
Reviewer: Steven T. Dougherty (Scranton)
The continuities of Beurling density and Beurling dimension of frame spectra. (Chinese. English summary) Zbl 1488.42147
The relation between Hamiltonian and 1-tough properties of the Cartesian product graphs. (English) Zbl 1470.05095
Blow-ups of caloric measure in time varying domains and applications to two-phase problems. (English. French summary) Zbl 1470.35080
On the mutual singularity of Hewitt-Stromberg measures. (English) Zbl 1488.28002
Reviewer: Włodzimierz Ślęzak (Bydgoszcz)
The conjunction of the linear arboricity conjecture and Lovász’s path partition theorem. (English) Zbl 1466.05177
Packings, sausages and catastrophes. (English) Zbl 1462.52030
Reviewer: Rolf Schneider (Freiburg im Breisgau)
Pointwise densities of homogeneous Cantor measure and critical values. (English) Zbl 1466.28006
Reviewer: George Stoica (Saint John)
On a relationship between the Hausdorff measure and the density of the thinnest covering of \(\mathbb{R}^n\). (English) Zbl 1457.28004
MSC:
28A78
Looking for a compact semi empirical equation of state for hard spheres and the possibility of a glassy transition. (English) Zbl 07530151
MSC:
82-XX
Covering the plane by a sequence of circular disks with a constraint. (English) Zbl 1454.52016
MSC:
52C15
The isostatic conjecture. (English) Zbl 1472.52033
Reviewer: A. E. Litvak (Edmonton)
Delone sets generated by square roots. (English) Zbl 1475.11138
Reviewer: Noureddine Daili (Sétif)
Constructions of full diversity \(D_n\)-lattices for all \(n\). (English) Zbl 1453.11089
Reviewer: Steven T. Dougherty (Scranton)
Hyperball packings related to octahedron and cube tilings in hyperbolic space. (English) Zbl 1452.52014
Reviewer: Zsolt Lángi (Budapest)
On the density of the thinnest covering of \(\mathbb{R}^n\). (English) Zbl 1472.52024
Reviewer: A. E. Litvak (Edmonton)
Partitioning sparse graphs into an independent set and a graph with bounded size components. (English) Zbl 1441.05179
Open set condition and pseudo Hausdorff measure of self-affine IFSs. (English) Zbl 1440.28007
Reviewer: Peter Massopust (München)
Exponential improvements for superball packing upper bounds. (English) Zbl 1446.52015
Reviewer: Christian Richter (Jena)
MSC:
52C17
Algebraic construction of lattices via maximal quaternion orders. (English) Zbl 1436.11139
Reviewer: Gabriele Nebe (Aachen)
Packing geometric objects with optimal worst-case density (Multimedia Exposition). (English) Zbl 07559263
Barequet, Gill (ed.) et al., 35th international symposium on computational geometry, SoCG 2019, Portland, Oregon, USA, June 18–21, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 129, Article 63, 6 p. (2019).
MSC:
68U05
Packing disks into disks with optimal worst-case density. (English) Zbl 07559235
Barequet, Gill (ed.) et al., 35th international symposium on computational geometry, SoCG 2019, Portland, Oregon, USA, June 18–21, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 129, Article 35, 19 p. (2019).
MSC:
68U05
Sum of squares lower bounds from symmetry and a good story. (English) Zbl 07559104
Blum, Avrim (ed.), 10th innovations in theoretical computer science conference, ITCS 2019, January 10–12, 2019, San Diego, CA, USA. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 124, Article 61, 20 p. (2019).
Congruent and non-congruent hyperball packings related to doubly truncated Coxeter orthoschemes in hyperbolic 3-space. (English) Zbl 1446.52016
Reviewer: Christian Richter (Jena)
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