Thuswaldner, Jörg M.; Zhang, Shu-Qin On self-affine tiles that are homeomorphic to a ball. (English) Zbl 07791012 Sci. China, Math. 67, No. 1, 45-76 (2024). MSC: 28A80 57M50 51M20 52C22 54F65 PDFBibTeX XMLCite \textit{J. M. Thuswaldner} and \textit{S.-Q. Zhang}, Sci. China, Math. 67, No. 1, 45--76 (2024; Zbl 07791012) Full Text: DOI arXiv
Kędra, Jarek On Lipschitz functions on groups equipped with conjugation-invariant norms. (English) Zbl 07797460 Colloq. Math. 174, No. 1, 89-99 (2023). MSC: 20F65 51F30 PDFBibTeX XMLCite \textit{J. Kędra}, Colloq. Math. 174, No. 1, 89--99 (2023; Zbl 07797460) Full Text: DOI arXiv
Kantor, Ida Lines in the plane with the \(L_1\) metric. (English) Zbl 07748817 Discrete Comput. Geom. 70, No. 3, 960-974 (2023). Reviewer: Vito Napolitano (Caserta) MSC: 51E30 51D20 PDFBibTeX XMLCite \textit{I. Kantor}, Discrete Comput. Geom. 70, No. 3, 960--974 (2023; Zbl 07748817) Full Text: DOI arXiv
Benjamini, Itai; Gilboa, Shoni The maximal number of 3-term arithmetic progressions in finite sets in different geometries. (English) Zbl 1523.11016 Discrete Comput. Geom. 69, No. 2, 543-567 (2023). MSC: 11B25 11B30 51F99 PDFBibTeX XMLCite \textit{I. Benjamini} and \textit{S. Gilboa}, Discrete Comput. Geom. 69, No. 2, 543--567 (2023; Zbl 1523.11016) Full Text: DOI arXiv
Kühne, Lukas; Maglione, Joshua On the geometry of flag Hilbert-Poincaré series for matroids. (English) Zbl 1515.05043 Sémin. Lothar. Comb. 86B, Article 68, 11 p. (2022). MSC: 05B35 11B68 11S40 52B40 51D25 PDFBibTeX XMLCite \textit{L. Kühne} and \textit{J. Maglione}, Sémin. Lothar. Comb. 86B, Article 68, 11 p. (2022; Zbl 1515.05043) Full Text: arXiv Link
Urzúa, Giancarlo Some open questions about line arrangements in the projective plane. (English) Zbl 1489.14074 Proyecciones 41, No. 2, 517-536 (2022). Reviewer: Halszka Tutaj-Gasinska (Kraków) MSC: 14N20 52C30 51E30 PDFBibTeX XMLCite \textit{G. Urzúa}, Proyecciones 41, No. 2, 517--536 (2022; Zbl 1489.14074) Full Text: DOI
Łaba, Izabella; Londner, Itay Combinatorial and harmonic-analytic methods for integer tilings. (English) Zbl 1485.05025 Forum Math. Pi 10, Paper No. e8, 46 p. (2022). MSC: 05B45 11B75 20K01 11C08 43A75 51D20 52C22 PDFBibTeX XMLCite \textit{I. Łaba} and \textit{I. Londner}, Forum Math. Pi 10, Paper No. e8, 46 p. (2022; Zbl 1485.05025) Full Text: DOI
Yang, Ya-min; Zhang, Yuan Tilings of convex polyhedral cones and topological properties of self-affine tiles. (English) Zbl 1473.52026 Discrete Comput. Geom. 66, No. 3, 876-901 (2021). MSC: 52C22 51M20 PDFBibTeX XMLCite \textit{Y.-m. Yang} and \textit{Y. Zhang}, Discrete Comput. Geom. 66, No. 3, 876--901 (2021; Zbl 1473.52026) Full Text: DOI arXiv
Hatala, Imre; Héger, Tamás; Mattheus, Sam New values for the bipartite Ramsey number of the four-cycle versus stars. (English) Zbl 1460.05125 Discrete Math. 344, No. 5, Article ID 112320, 14 p. (2021). MSC: 05C55 05D10 51A35 PDFBibTeX XMLCite \textit{I. Hatala} et al., Discrete Math. 344, No. 5, Article ID 112320, 14 p. (2021; Zbl 1460.05125) Full Text: DOI
Nation, J. B. Extending partial projective planes. (English) Zbl 1420.51006 Algebra Univers. 80, No. 1, Paper No. 7, 7 p. (2019). Reviewer: Jan De Beule (Brussels) MSC: 51E14 51A35 PDFBibTeX XMLCite \textit{J. B. Nation}, Algebra Univers. 80, No. 1, Paper No. 7, 7 p. (2019; Zbl 1420.51006) Full Text: DOI
Ball, Simeon; Monserrat, Joaquim A generalisation of Sylvester’s problem to higher dimensions. (English) Zbl 1377.51011 J. Geom. 108, No. 2, 529-543 (2017). Reviewer: Piotr Pokora (Kraków) MSC: 51M16 52C35 52C30 51M05 PDFBibTeX XMLCite \textit{S. Ball} and \textit{J. Monserrat}, J. Geom. 108, No. 2, 529--543 (2017; Zbl 1377.51011) Full Text: DOI arXiv Link
Dietl, Ruth Maria Katharina; Eschenburg, Jost-Hinrich The icosahedral quasiperiodic tiling and its self-similarity. (English) Zbl 1372.52025 J. Geom. 108, No. 1, 319-354 (2017). Reviewer: Christian Seifert (Hamburg) MSC: 52C23 51M20 51M15 PDFBibTeX XMLCite \textit{R. M. K. Dietl} and \textit{J.-H. Eschenburg}, J. Geom. 108, No. 1, 319--354 (2017; Zbl 1372.52025) Full Text: DOI
Aboulker, Pierre; Chen, Xiaomin; Huzhang, Guangda; Kapadia, Rohan; Supko, Cathryn Lines, betweenness and metric spaces. (English) Zbl 1364.51007 Discrete Comput. Geom. 56, No. 2, 427-448 (2016). MSC: 51M05 51F99 05C40 PDFBibTeX XMLCite \textit{P. Aboulker} et al., Discrete Comput. Geom. 56, No. 2, 427--448 (2016; Zbl 1364.51007) Full Text: DOI arXiv
Gill, Nick; Helfgott, Harald A.; Rudnev, Misha On growth in an abstract plane. (English) Zbl 1335.51003 Proc. Am. Math. Soc. 143, No. 8, 3593-3602 (2015). Reviewer: Vito Napolitano (Napoli) MSC: 51A35 05B25 PDFBibTeX XMLCite \textit{N. Gill} et al., Proc. Am. Math. Soc. 143, No. 8, 3593--3602 (2015; Zbl 1335.51003) Full Text: DOI arXiv Link
Chvátal, Vašek A De Bruijn-Erdős theorem for \(1\)-\(2\) metric spaces. (English) Zbl 1340.05254 Czech. Math. J. 64, No. 1, 45-51 (2014). MSC: 05D99 51G99 PDFBibTeX XMLCite \textit{V. Chvátal}, Czech. Math. J. 64, No. 1, 45--51 (2014; Zbl 1340.05254) Full Text: DOI arXiv
Napolitano, V.; Olanda, D. A simple new proof of the fundamental theorem for finite linear spaces. (English) Zbl 1311.51007 Ric. Mat. 63, No. 1, 41-45 (2014). Reviewer: Basri Çelik (Nilüfer-Bursa) MSC: 51E26 PDFBibTeX XMLCite \textit{V. Napolitano} and \textit{D. Olanda}, Ric. Mat. 63, No. 1, 41--45 (2014; Zbl 1311.51007) Full Text: DOI
Axenovich, M.; Choi, J.; Lastrina, M.; McKay, T.; Smith, J.; Stanton, B. On the chromatic number of subsets of the Euclidean plane. (English) Zbl 1292.05096 Graphs Comb. 30, No. 1, 71-81 (2014). MSC: 05C12 05C15 05C62 05C35 51K99 PDFBibTeX XMLCite \textit{M. Axenovich} et al., Graphs Comb. 30, No. 1, 71--81 (2014; Zbl 1292.05096) Full Text: DOI
Kantor, Ida; Patkós, Balázs Towards a de Bruijn-Erdős theorem in the \(L_1\)-metric. (English) Zbl 1410.51011 Discrete Comput. Geom. 49, No. 3, 659-670 (2013). MSC: 51E30 PDFBibTeX XMLCite \textit{I. Kantor} and \textit{B. Patkós}, Discrete Comput. Geom. 49, No. 3, 659--670 (2013; Zbl 1410.51011) Full Text: DOI arXiv
Habert, Luc; Pocchiola, Michel Computing pseudotriangulations via branched coverings. (English) Zbl 1267.68270 Discrete Comput. Geom. 48, No. 3, 518-579 (2012). Reviewer: Frank Plastria (Brussels) MSC: 68U05 57M50 51A35 52A10 68Q25 PDFBibTeX XMLCite \textit{L. Habert} and \textit{M. Pocchiola}, Discrete Comput. Geom. 48, No. 3, 518--579 (2012; Zbl 1267.68270) Full Text: DOI arXiv
Bodini, Olivier; Fernique, Thomas; Rémila, Éric A characterization of flip-accessibility for rhombus tilings of the whole plane. (English) Zbl 1160.68035 Inf. Comput. 206, No. 9-10, 1065-1073 (2008). MSC: 68U05 51M20 52C20 52C23 82B41 PDFBibTeX XMLCite \textit{O. Bodini} et al., Inf. Comput. 206, No. 9--10, 1065--1073 (2008; Zbl 1160.68035) Full Text: DOI Link
Chen, Xiaomin; Chvátal, Vašek Problems related to a de Bruijn-Erdös theorem. (English) Zbl 1157.05019 Discrete Appl. Math. 156, No. 11, 2101-2108 (2008). Reviewer: Norbert Knarr (Gießen) MSC: 05B30 51E30 51D20 PDFBibTeX XMLCite \textit{X. Chen} and \textit{V. Chvátal}, Discrete Appl. Math. 156, No. 11, 2101--2108 (2008; Zbl 1157.05019) Full Text: DOI arXiv
Marshall, T. H. Volume formulae for regular hyperbolic cubes. (English) Zbl 0892.51016 Conform. Geom. Dyn. 2, No. 2, 25-28 (1998). MSC: 51M20 51M25 52A35 52A38 05B45 51M10 52A40 PDFBibTeX XMLCite \textit{T. H. Marshall}, Conform. Geom. Dyn. 2, No. 2, 25--28 (1998; Zbl 0892.51016) Full Text: DOI
Buekenhout, Francis Questions about linear spaces. (English) Zbl 0804.51002 Discrete Math. 129, No. 1-3, 19-27 (1994). Reviewer: H.Hotje (Hannover) MSC: 51A05 51E24 PDFBibTeX XMLCite \textit{F. Buekenhout}, Discrete Math. 129, No. 1--3, 19--27 (1994; Zbl 0804.51002) Full Text: DOI
McMullen, Peter Duality, sections and projections of certain euclidean tilings. (English) Zbl 0796.52004 Geom. Dedicata 49, No. 2, 183-202 (1994). Reviewer: P.Schmitt (Wien) MSC: 52C22 51M20 82D25 52A41 PDFBibTeX XMLCite \textit{P. McMullen}, Geom. Dedicata 49, No. 2, 183--202 (1994; Zbl 0796.52004) Full Text: DOI
Bálintová, A.; Bálint, V. On the number of circles determined by \(n\) points in the Euclidean plane. (English) Zbl 0796.51008 Acta Math. Hung. 63, No. 3, 283-289 (1994). Reviewer: K.Burian (Havířov) MSC: 51M05 PDFBibTeX XMLCite \textit{A. Bálintová} and \textit{V. Bálint}, Acta Math. Hung. 63, No. 3, 283--289 (1994; Zbl 0796.51008) Full Text: DOI
Batten, Lynn Margaret A characterization of finite linear spaces on \(v\) points, \(n^ 2\leqslant v < (n+1)^ 2\), and \(b = n^ 2+n+3\) lines, \(n > 10\). (English) Zbl 0821.51005 Discrete Math. 118, No. 1-3, 1-9 (1993). Reviewer: K.Prazmowski (Białystok) MSC: 51E20 51E26 PDFBibTeX XMLCite \textit{L. M. Batten}, Discrete Math. 118, No. 1--3, 1--9 (1993; Zbl 0821.51005) Full Text: DOI
Coxeter, H. S. M. Cyclotomic integers, nondiscrete tessellations, and quasicrystals. (English) Zbl 0779.52017 Indag. Math., New Ser. 4, No. 1, 27-38 (1993). Reviewer: A.H.Temesvári (Sopron) MSC: 52C20 05B45 82D25 51M20 PDFBibTeX XMLCite \textit{H. S. M. Coxeter}, Indag. Math., New Ser. 4, No. 1, 27--38 (1993; Zbl 0779.52017) Full Text: DOI
Metsch, Klaus Linear spaces with few lines. (English) Zbl 0769.51002 Discrete Math. 110, No. 1-3, 215-222 (1992). Reviewer: K.Prazmowski (Bialystok) MSC: 51A45 51E26 PDFBibTeX XMLCite \textit{K. Metsch}, Discrete Math. 110, No. 1--3, 215--222 (1992; Zbl 0769.51002) Full Text: DOI
De Vito, Paola; Lo Re, Pia Maria; Metsch, Klaus Linear spaces in which every long line intersects \(v\) + 2 other lines. (English) Zbl 0757.51010 Arch. Math. 57, No. 2, 193-203 (1991). Reviewer: W.E.Cherowitzo (Denver) MSC: 51E26 05B25 PDFBibTeX XMLCite \textit{P. De Vito} et al., Arch. Math. 57, No. 2, 193--203 (1991; Zbl 0757.51010) Full Text: DOI
Hillebrandt, Gert Describing of thin geometries using Hecke groups. (English) Zbl 0749.20025 Eur. J. Comb. 12, No. 6, 491-497 (1991). Reviewer: Th.Grundhöfer (Tübingen) MSC: 20F65 20F55 51E24 PDFBibTeX XMLCite \textit{G. Hillebrandt}, Eur. J. Comb. 12, No. 6, 491--497 (1991; Zbl 0749.20025) Full Text: DOI
Borwein, P.; Moser, W. O. J. A survey of Sylvester’s problem and its generalizations. (English) Zbl 0717.52013 Aequationes Math. 40, No. 2-3, 111-135 (1990). Reviewer: L.A.Székely MSC: 52C10 51A20 PDFBibTeX XMLCite \textit{P. Borwein} and \textit{W. O. J. Moser}, Aequationes Math. 40, No. 2--3, 111--135 (1990; Zbl 0717.52013) Full Text: DOI EuDML
De Vito, Paola; Lo Re, Pia Maria; Melone, Nicola Linear spaces on v points with v-2 mutually intersecting long lines. (English) Zbl 0705.51007 J. Geom. 37, No. 1-2, 87-94 (1990). Reviewer: G.Faina MSC: 51D20 51E20 PDFBibTeX XMLCite \textit{P. De Vito} et al., J. Geom. 37, No. 1--2, 87--94 (1990; Zbl 0705.51007) Full Text: DOI
Ueberberg, Johannes A characterization of the line set of an odd-dimensional Baer subspace. (English) Zbl 0704.51007 J. Geom. 37, No. 1-2, 171-180 (1990). Reviewer: T.G.Ostrom MSC: 51E21 51A45 PDFBibTeX XMLCite \textit{J. Ueberberg}, J. Geom. 37, No. 1--2, 171--180 (1990; Zbl 0704.51007) Full Text: DOI
Füredi, Z.; Rosenberg, I. G. Multicolored lines in a finite geometry. (English) Zbl 0661.05021 Discrete Math. 71, No. 2, 149-163 (1988). Reviewer: D.Jungnickel MSC: 05B25 51E30 PDFBibTeX XMLCite \textit{Z. Füredi} and \textit{I. G. Rosenberg}, Discrete Math. 71, No. 2, 149--163 (1988; Zbl 0661.05021) Full Text: DOI
Erdős, Paul; Fowler, Joel C.; Sós, Vera T.; Wilson, Richard M. On 2-designs. (English) Zbl 0575.05008 J. Comb. Theory, Ser. A 38, 131-142 (1985). Reviewer: G.Ferrero MSC: 05B05 05B20 51A05 51E30 PDFBibTeX XMLCite \textit{P. Erdős} et al., J. Comb. Theory, Ser. A 38, 131--142 (1985; Zbl 0575.05008) Full Text: DOI
Erdős, Paul; Mullin, R. C.; Sós, Vera T.; Stinson, D. R. Finite linear spaces and projective planes. (English) Zbl 0521.51005 Discrete Math. 47, 49-62 (1983). Reviewer: R.Artzy MSC: 51A45 05B25 51E15 PDFBibTeX XMLCite \textit{P. Erdős} et al., Discrete Math. 47, 49--62 (1983; Zbl 0521.51005) Full Text: DOI
Dekking, F. M. Recurrent sets. (English) Zbl 0495.51017 Adv. Math. 44, 78-104 (1982). MSC: 51M25 28A75 68Q45 PDFBibTeX XMLCite \textit{F. M. Dekking}, Adv. Math. 44, 78--104 (1982; Zbl 0495.51017) Full Text: DOI
Berenstein, Carlos A.; Yang, Paul An overdetermined Neumann problem in the unit disk. (English) Zbl 0488.35063 Adv. Math. 44, 1-17 (1982). MSC: 35N10 35J25 35R30 30E99 35P05 51M10 PDFBibTeX XMLCite \textit{C. A. Berenstein} and \textit{P. Yang}, Adv. Math. 44, 1--17 (1982; Zbl 0488.35063) Full Text: DOI
Sce, Michele Combinatorial geometry and finite geometries. (Italian) Zbl 0555.51006 Rend. Sem. Mat. Fis. Milano 51, 77-123 (1981). Reviewer: A.Barlotti MSC: 51E20 51D20 05B25 PDFBibTeX XMLCite \textit{M. Sce}, Rend. Semin. Mat. Fis. Milano 51, 77--123 (1981; Zbl 0555.51006) Full Text: DOI
Falconer, K. J. The realization of distances in measurable subsets covering \(R^ n\). (English) Zbl 0469.05021 J. Comb. Theory, Ser. A 31, 184-189 (1981). MSC: 05B30 05C15 28A05 51M20 PDFBibTeX XMLCite \textit{K. J. Falconer}, J. Comb. Theory, Ser. A 31, 184--189 (1981; Zbl 0469.05021) Full Text: DOI
Erdős, Paul; Purdy, G. Some combinatorial problems in the plane. (English) Zbl 0422.05023 J. Comb. Theory, Ser. A 25, 205-210 (1978). Reviewer: D.A.Klarner MSC: 05B25 51M05 00A07 PDFBibTeX XMLCite \textit{P. Erdős} and \textit{G. Purdy}, J. Comb. Theory, Ser. A 25, 205--210 (1978; Zbl 0422.05023) Full Text: DOI
Woodall, D. R. Distances realized by sets covering the plane. (English) Zbl 0251.50003 J. Comb. Theory, Ser. A 14, 187-200 (1973). MSC: 51M20 52C17 PDFBibTeX XMLCite \textit{D. R. Woodall}, J. Comb. Theory, Ser. A 14, 187--200 (1973; Zbl 0251.50003) Full Text: DOI
Buekenhout, F. On the orbits of collineation groups. (English) Zbl 0206.23601 Math. Z. 119, 273-275 (1971). MSC: 51E05 PDFBibTeX XMLCite \textit{F. Buekenhout}, Math. Z. 119, 273--275 (1971; Zbl 0206.23601) Full Text: DOI EuDML