GeombinatoricsA Journal of Open Problems of Combinatorial and Discrete Geometry and Related Areas Short Title: Geombinatorics Publisher: University of Colorado and Center for Excellence in Mathematical Education, Colorado Springs, CO ISSN: 1065-7371 Online: https://geombinatorics.uccs.edu/archive/index.php/home/issue/archive Comments: Journal Documents Indexed: 542 Publications (since 1991) all top 5 Latest Issues 32, No. 3 (2023) 32, No. 2 (2022) 32, No. 1 (2022) 31, No. 4 (2022) 31, No. 3 (2022) 31, No. 2 (2021) 31, No. 1 (2021) 30, No. 4 (2021) 30, No. 3 (2021) 30, No. 2 (2020) 30, No. 1 (2020) 29, No. 4 (2020) 29, No. 3 (2020) 29, No. 2 (2019) 29, No. 1 (2019) 28, No. 4 (2019) 28, No. 3 (2019) 28, No. 2 (2018) 28, No. 1 (2018) 27, No. 4 (2018) 27, No. 3 (2018) 27, No. 2 (2017) 27, No. 1 (2017) 26, No. 4 (2017) 26, No. 3 (2017) 26, No. 2 (2016) 26, No. 1 (2016) 25, No. 4 (2016) 25, No. 3 (2016) 25, No. 2 (2015) 25, No. 1 (2015) 24, No. 4 (2015) 24, No. 3 (2015) 24, No. 2 (2014) 24, No. 1 (2014) 23, No. 4 (2014) 23, No. 3 (2014) 23, No. 2 (2013) 23, No. 1 (2013) 22, No. 4 (2013) 22, No. 3 (2013) 22, No. 2 (2012) 22, No. 1 (2012) 21, No. 4 (2012) 21, No. 3 (2012) 21, No. 2 (2011) 21, No. 1 (2011) 20, No. 4 (2011) 20, No. 3 (2011) 20, No. 2 (2010) 20, No. 1 (2010) 19, No. 4 (2010) 19, No. 3 (2010) 19, No. 2 (2009) 19, No. 1 (2009) 18, No. 4 (2009) 18, No. 3 (2009) 18, No. 2 (2008) 18, No. 1 (2008) 17, No. 4 (2008) 17, No. 3 (2008) 17, No. 2 (2007) 17, No. 1 (2007) 16, No. 4 (2007) 16, No. 3 (2007) 16, No. 2 (2006) 16, No. 1 (2006) 15, No. 4 (2006) 15, No. 3 (2006) 15, No. 2 (2005) 15, No. 1 (2005) 14, No. 4 (2005) 14, No. 3 (2005) 14, No. 2 (2004) 14, No. 1 (2004) 13, No. 4 (2004) 13, No. 3 (2004) 13, No. 2 (2003) 13, No. 1 (2003) 12, No. 4 (2003) 12, No. 3 (2003) 12, No. 2 (2002) 12, No. 1 (2002) 11, No. 4 (2002) 11, No. 3 (2002) 11, No. 2 (2001) 11, No. 1 (2001) 10, No. 4 (2001) 10, No. 3 (2001) 10, No. 2 (2000) 10, No. 1 (2000) 9, No. 4 (2000) 9, No. 3 (2000) 9, No. 2 (1999) 9, No. 1 (1999) 8, No. 4 (1999) 8, No. 3 (1999) 8, No. 2 (1998) 8, No. 1 (1998) 7, No. 4 (1998) ...and 25 more Volumes all top 5 Authors 61 Grünbaum, Branko 60 Soifer, Alexander 47 Kreinovich, Vladik Yakovlevich 23 Johnson, Peter D. jun. 21 Kosheleva, Olga M. 17 Erdős, Pál 15 Harborth, Heiko 15 Kuz’minykh, Aleksandr Veniaminovich 14 Pach, János 10 Parts, Jaan 9 Friedman, Erich 9 Januszewski, Janusz 9 Rosenfeld, Moshe 9 Zaks, Joseph 8 Ismailescu, Dan P. 8 Kahle, Matthew 7 de Grey, Aubrey D. N. J. 7 Karabash, Dmytro 6 Kainen, Paul C. 6 O’Donnell, Paul 6 Tóth, Géza 5 Exoo, Geoffrey 5 Möller, Meinhard 4 Khan, Samee Ullah 4 Khovanova, Tanya 4 Marcu, Dănuţ 4 Praton, Iwan 4 Wetzel, John E. 4 Winkler, Mike 3 Alonso, Orlando B. 3 Bode, Jens-P. 3 Brass, Peter 3 Brown, Nathanial P. 3 Burger, Alewyn Petrus 3 Chilakamarri, Kiran B. 3 Czyzowicz, Jurek 3 Dinkelacker, Peter 3 Dunfield, Nathan M. 3 Finkelstein, Andrei M. 3 Koshelev, Misha 3 Kurz, Sascha 3 Lassak, Marek 3 Lerma, Octavio 3 Malen, Greg 3 Niţică, Viorel 3 Noble, Matthew 3 Novotný, Pavel 3 O’Rourke, Joseph 3 Perry, Greg 3 Roldán, Érika 3 Shelah, Saharon 3 Starks, Scott A. 3 Vogel, Stefan 3 Wolff von Gudenberg, Jürgen 2 Abrams, Aaron 2 Ábrego, Bernardo Manuel 2 Alm, Jeremy F. 2 Anderson, Loren 2 Bacher, Roland 2 Bailey-Kellogg, Chris 2 Bhattacharya, Bhaswar B. 2 Bokati, Laxman 2 Bose, Prosenjit K. 2 Carrigan, Braxton 2 Conway, John Horton 2 Das, Sandip 2 Delahaye, Jean-Paul 2 Dumitrescu, Adrian 2 Fernández-Merchant, Silvia 2 Fishburn, Peter Clingerman 2 Garber, David 2 Greenwell, Don 2 Hasan, Masud 2 Heule, Marijn J. H. 2 Hochberg, Robert A. 2 Hoffman, Ilya 2 Horák, Peter 2 Hossain, Mohammad Monoar 2 Iourinski, Dima 2 Kranakis, Evangelos Konstantinou 2 Lángi, Zsolt 2 Lenchner, Jonathan 2 Lengvárszky, Zsolt 2 López-Ortiz, Alejandro 2 Lu, Bin 2 Maier, Christopher 2 Malkevitch, Joseph 2 Mann, Matthias 2 Molchanov, Ilya S. 2 Nešetřil, Jaroslav 2 Nitica, Catalin 2 Nusrat, Sabrina 2 Rabinowitz, Stanley 2 Raedschelders, Peter 2 Shephard, Geoffrey Colin 2 Staton, William 2 Tiemeyer, Michael 2 Tyler, Benton 2 Wagon, Stan 2 Wawrzycki, Jarosław ...and 254 more Authors all top 5 Fields 243 Combinatorics (05-XX) 212 Convex and discrete geometry (52-XX) 100 Geometry (51-XX) 49 History and biography (01-XX) 17 Computer science (68-XX) 16 Number theory (11-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 General and overarching topics; collections (00-XX) 10 Mathematical logic and foundations (03-XX) 7 Numerical analysis (65-XX) 5 Manifolds and cell complexes (57-XX) 5 Probability theory and stochastic processes (60-XX) 5 Relativity and gravitational theory (83-XX) 4 Differential geometry (53-XX) 4 Operations research, mathematical programming (90-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 3 Mechanics of deformable solids (74-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Measure and integration (28-XX) 2 Statistics (62-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 152 Publications have been cited 470 times in 344 Documents Cited by ▼ Year ▼ The chromatic number of the plane is at least. Zbl 1404.05063de Grey, Aubrey D. N. J. 33 2018 Colorings of metric spaces. Zbl 0951.05037Benda, M.; Perles, M. 27 2000 Thirteen problems on crossing numbers. Zbl 0957.05026Pach, János; Tóth, Géza 26 2000 A Ramsey-type theorem for bipartite graphs. Zbl 0978.05052Erdős, Paul; Hajnal, András; Pach, János 19 2000 Choosability versus chromaticity—the plane unit distance graph has a \(2\)-chromatic subgraph of infinite list-chromatic number. Zbl 0855.05055Jensen, Tommy R.; Toft, Bjarne 15 1995 Chromatic number of the plane: A historical essay. Zbl 0853.05038Soifer, Alexander 13 1991 Comment on Fox news. Zbl 1145.05020Pach, János; Tóth, Géza 12 2006 Uniform tilings of \(3\)-space. Zbl 0844.52022Grünbaum, Branko 11 1994 On the chromatic number of real and rational spaces. Zbl 1190.05067Cibulka, Josef 8 2008 Arbitrary girth, 4-chromatic unit distance graphs in the plane. I: Graph description. Zbl 0937.05038O’Donnell, Paul 7 2000 Arbitrary girth, 4-chromatic unit distance graphs in the plane. II: Graph embedding. Zbl 0979.05045O’Donnell, Paul 7 2000 The edge Folkman number \(F_e(3,3;4)\) is greater than 19. Zbl 1373.05116Bikov, Aleksandar; Nenov, Nedyalko 6 2017 Monochromatic intersection points in families of colored lines. Zbl 0948.52013Grünbaum, Branko 6 1999 On four points of a convex body in large relative distances. Zbl 1061.52001Lángi, Zsolt; Lassak, Marek 6 2003 Chromatic number of the plane and its relatives. Zbl 1035.05043Soifer, Alexander 6 2003 Connected \((n_4)\) configurations exist for almost all \(n\) – an update. Zbl 1116.52302Grünbaum, Branko 6 2002 Midpoints of segments induced by a point set. Zbl 1060.11015Pach, János 6 2003 Connected \((n_4)\) configurations exist for almost all \(n\) – second update. Zbl 1506.52045Grünbaum, Branko 6 2006 Computing small unit-distance graphs with chromatic number 5. Zbl 1404.05054Heule, Marijn J. H. 5 2018 Astral \((n_ k)\) configurations. Zbl 0845.51010Grünbaum, Branko 5 1993 On the independence number of coin graphs. Zbl 0853.05051Pach, János; Tóth, Géza 5 1996 Astral \((n_4)\) configurations. Zbl 0981.51014Grünbaum, Branko 5 2000 No-net polyhedra. Zbl 1010.52010Grünbaum, Branko 5 2002 36 two-colored points with no empty monochromatic convex fourgons. Zbl 1506.05066Huemer, Clemens; Seara, Carlos 5 2009 The best polynomial bounds for the number of triangles in a simple arrangement of \(n\) pseudo-lines. Zbl 1335.52032Blanc, Jérémy 4 2011 Ordered black boxes: existence. Zbl 1314.03042Shelah, Saharon 4 2014 Venn diagrams. II. Zbl 0851.52009Grünbaum, Branko 4 1992 Hamiltonian polygons and polyhedra. Zbl 0845.05066Grünbaum, Branko 4 1994 Which algorithms are feasible and which are not depends on the geometry of space-time. Zbl 0844.68060Morgenstein, Dara; Kreinovich, Vladik 4 1995 How to convexify a polygon. Zbl 0866.52001Grünbaum, Branko 4 1995 The list-chromatic number of Euclidean space. Zbl 0847.05056Schmerl, James H. 4 1995 On polygons enclosing point sets. Zbl 1004.52001Czyzowicz, Jurek; Hurtado, Ferran; Urrutia, Jorge; Zaguia, Nejib 4 2001 The search for symmetric Venn diagrams. Zbl 0929.52007Grünbaum, Branko 4 1999 30 two-colored points with no empty monochromatic convex fourgons. Zbl 1063.52011Friedman, Erich 4 2004 Graphs with no grid obstacle representation. Zbl 1352.05133Pach, János 3 2016 Coloring distance graphs: a few answers and many questions. Zbl 1334.05039Kloeckner, Benoît R. 3 2015 Graph minimization, focusing on the example of 5-chromatic unit-distance graphs in the plane. Zbl 1452.05070Parts, Jaan 3 2020 Tromino tiling deficient cubes of side length \(2^n\). Zbl 1184.05020Starr, Norton 3 2008 Bounds for covers of unit arcs. Zbl 1273.52012Wetzel, John E. 3 2013 Nets of polyhedra. II. Zbl 0845.51019Grünbaum, Branko 3 1991 Forbidding prescribed distances for designated colors. Zbl 0848.05030Greenwell, Don; Johnson, Peter D. jun. 3 1992 Squares in a square. Zbl 0850.52013Erdős, Paul; Soifer, Alexander 3 1995 Some 4-chromatic unit-distance graphs without small cycles. Zbl 0855.05056Hochberg, Robert; O’Donnell, Paul 3 1996 Tiling the plane with equilateral triangles. Zbl 1430.52027Pach, János; Tardos, Gábor 3 2019 A note on the clique chromatic number of geometric graphs. Zbl 1407.05091Fox, Jacob; Pach, János; Suk, Andrew 3 2018 Connected (n4) configurations exist for almost all n. Zbl 0966.51012Grünbaum, Branko 3 2000 Which \((n_4)\) configurations exist? Zbl 0964.51011Grünbaum, Branko 3 2000 A relative of “Napoleon’s theorem”. Zbl 0979.51008Grünbaum, Branko 3 2001 Empty monochromatic fourgons in two-colored point sets. Zbl 1062.52016Brass, Peter 3 2004 On the number of points at distance at least 1 in the unit cube. Zbl 1061.52003Bálint, Vojtech; Bálint, Vojtech jun. 3 2003 Chromatic number of the plane and its relatives. II: Polychromatic number and 6-coloring. Zbl 1061.05038Soifer, Alexander 3 2003 A unit distance graph in the plane with fractional chromatic number 383/102. Zbl 1360.05032Exoo, Geoffrey; Ismailescu, Dan 3 2017 Triangle-free minimum distance graphs in the plane. Zbl 1506.05056Swanepoel, Konrad J. 3 2009 New lower bounds on \(\chi ({\mathbb R}^d)\) for \(d = 8,\dots, 12\). Zbl 1327.05247Kahle, Matthew; Taha, Birra 2 2015 The chromatic number of the plane is at least 5 – a human-veriviable proof. Zbl 1455.05020Parts, Jaan 2 2020 Polyominoes with maximally many holes. Zbl 1428.05052Kahle, Matthew; Roldán, Érika 2 2019 A note on convex realizability of arrangements of pseudocircles. Zbl 1159.52022Linhart, Johann; Ortner, Ronald 2 2008 Note on covering square with equal squares. Zbl 1162.52011Karabash, Dmytro; Soifer, Alexander 2 2008 Covering squares with unit squares. Zbl 1097.52005Friedman, Erich; Paterson, David A. 2 2006 Progress in my favorite open problem of mathematics, chromatic number of the plane: an Étude in five movements. Zbl 1403.05157Soifer, Alexander 2 2018 Triangles in convex polygons. Zbl 0844.52002Erdős, Paul; Soifer, Alexander 2 1993 Is Snaky a winner? Zbl 0847.05039Harary, Frank 2 1993 \(O(n^ 3)\) bounds for the area of a convex lattice \(n\)-gon. Zbl 0847.52013Rabinowitz, Stanley 2 1993 Quadrangles, pentagons, and computers. Zbl 0845.51013Grünbaum, Branko 2 1993 The choice number of the plane. Zbl 0848.05031Johnson, Peter D. jun. 2 1994 Odd integral distances among points in the plane. Zbl 0844.52010Rosenfeld, Moshe 2 1996 Astrogeometry: Geometry explains shapes of celestial bodies. Zbl 0885.70011Finkelstein, Andrei; Kosheleva, Olga; Kreinovich, Vladik 2 1997 Embedding graphs in Euclidean spaces, an exploration guided by Paul Erdös. Zbl 0881.05039Nešetřil, Jaroslav; Rosenfeld, Moshe 2 1997 Folding and turning along geodesics in a convex surface. Zbl 0892.52004Pach, János 2 1997 Yet another species of forbidden-distances chromatic number. Zbl 0979.05051Abrams, Aaron; Johnson, Peter 2 2001 A starshaped polyhedron with no net. Zbl 0998.52008Grünbaum, Branko 2 2001 More on the fractional chromatic number. Zbl 0941.05024Johnson, P. D. jun. 2 1999 Flipping your lid. Zbl 0976.52003Ahn, Hee-Kap; Bose, Prosenjit; Czyzowicz, Jurek; Hanusse, Nicolas; Kranakis, Evangelos; Morin, Pat 2 2000 Examples on the plane and \(R^n\). Zbl 1057.03037Soifer, Alexander; Shelah, Saharon 2 2004 (1-2-3)-complexes. Zbl 1045.52004Grünbaum, Branko 2 2003 Open-ended configurations of radio telescopes: A geometrical analysis. Zbl 1142.85300Kreinovich, Vladik; Starks, Scott A.; Iourinski, Dima; Kosheleva, Olga; Finkelstein, Andrei 2 2003 Automated proofs in geometry computing upper bounds for the Heilbronn problem for triangles. Zbl 1506.51014De Comité, Francesco; Delahaye, Jean-Paul 2 2010 Interleaving enhances learning: a possible geometric explanation. Zbl 1331.97003Lerma, Octavio; Kosheleva, Olga; Kreinovich, Vladik 1 2015 Factorization of Platonic polytopes into canonical spheres. Zbl 1471.05088Hammack, Richard H.; Kainen, Paul C. 1 2021 A 6-chromatic two-distance graph in the plane. Zbl 1452.05048Exoo, Geoffrey; Ismailescu, Dan 1 2020 A small 6-chromatic two-distance graph in the plane. Zbl 1458.05082Parts, Jaan 1 2020 Polyiamonds attaining extremal topological properties. I. Zbl 1458.52012Malen, Greg; Roldán, Érika 1 2020 What percent of the plane can be properly 5- and 6-colored? Zbl 1452.05069Parts, Jaan 1 2020 Generalizations of the no-three-in-a-line problem. Zbl 1428.05045LaFollette, Dustin; Godbole, Anant 1 2019 The odd-distance graph. Zbl 1277.05072Rosenfeld, Moshe 1 2013 Covering paths and trees for planar grids. Zbl 1316.05021Keszegh, Balázs 1 2014 Geometric realization of toroidal quadrangulations without hidden symmetries. Zbl 1312.51007Lawrencenko, Serge 1 2014 Multiplication in Newton’s Principia and Jordan-Banach algebras. II. Zbl 1327.46069Wawrzycki, Jarosław 1 2014 Equidecomposability (scissors congruence) of polyhedra in \(\mathbb R^3\) and \(\mathbb R^4\) is algorithmically decidable: Hilbert’s 3rd problem revisited. Zbl 1161.52011Kreinovich, Vladik 1 2008 Are prisms and antiprisms really boring? III. Zbl 1094.52007Grünbaum, Branko 1 2005 The Hadwiger-Nelson problem with two forbidden distances. Zbl 1407.05072Exoo, Geoffrey; Ismailescu, Dan 1 2018 Tangled thrackles. Zbl 1272.05034Pach, János; Radoičić, Radoš; Tóth, Géza 1 2012 Tiling a unit square with 8 squares. Zbl 1268.52018Praton, Iwan 1 2013 Odd polyhedra. Zbl 0843.52008Grünbaum, Branko 1 1991 Venn diagrams. I. Zbl 0851.52008Grünbaum, Branko 1 1992 Relatives of chromatic number of the plane. I. Zbl 0853.05039Soifer, Alexander 1 1992 The fractional chromatic number of the plane. Zbl 0843.05043Fisher, David; Ullman, Daniel 1 1992 Functions which preserve unit distance. Zbl 0844.51007Greenwell, Don; Johnson, Peter D. jun. 1 1993 A large independent set in the unit distance graph. Zbl 0847.05048Hochberg, Robert; O’Donnell, Paul 1 1993 Colorings of the plane. I. Zbl 0846.05030Brown, Nathanial; Dunfield, Nathan; Perry, Greg 1 1993 A 6-chromatic odd-distance graph in the plane. Zbl 1505.05056Parts, Jaan 1 2022 Factorization of Platonic polytopes into canonical spheres. Zbl 1471.05088Hammack, Richard H.; Kainen, Paul C. 1 2021 On upper bounds for the multi-fold chromatic numbers of the plane. Zbl 1466.05077Parts, Jaan 1 2021 On the chromatic number of circular disks and infinite strips in the plane. Zbl 1466.05215Polymath, D. H. J. 1 2021 The surface of a sufficiently large sphere has chromatic number at most 7. Zbl 1459.05093Sirgedas, Tomas 1 2021 Graph minimization, focusing on the example of 5-chromatic unit-distance graphs in the plane. Zbl 1452.05070Parts, Jaan 3 2020 The chromatic number of the plane is at least 5 – a human-veriviable proof. Zbl 1455.05020Parts, Jaan 2 2020 A 6-chromatic two-distance graph in the plane. Zbl 1452.05048Exoo, Geoffrey; Ismailescu, Dan 1 2020 A small 6-chromatic two-distance graph in the plane. Zbl 1458.05082Parts, Jaan 1 2020 Polyiamonds attaining extremal topological properties. I. Zbl 1458.52012Malen, Greg; Roldán, Érika 1 2020 What percent of the plane can be properly 5- and 6-colored? Zbl 1452.05069Parts, Jaan 1 2020 Tiling the plane with equilateral triangles. Zbl 1430.52027Pach, János; Tardos, Gábor 3 2019 Polyominoes with maximally many holes. Zbl 1428.05052Kahle, Matthew; Roldán, Érika 2 2019 Generalizations of the no-three-in-a-line problem. Zbl 1428.05045LaFollette, Dustin; Godbole, Anant 1 2019 The chromatic number of the plane is at least. Zbl 1404.05063de Grey, Aubrey D. N. J. 33 2018 Computing small unit-distance graphs with chromatic number 5. Zbl 1404.05054Heule, Marijn J. H. 5 2018 A note on the clique chromatic number of geometric graphs. Zbl 1407.05091Fox, Jacob; Pach, János; Suk, Andrew 3 2018 Progress in my favorite open problem of mathematics, chromatic number of the plane: an Étude in five movements. Zbl 1403.05157Soifer, Alexander 2 2018 The Hadwiger-Nelson problem with two forbidden distances. Zbl 1407.05072Exoo, Geoffrey; Ismailescu, Dan 1 2018 Regular matchstick graphs with integral edges. Zbl 1388.05045Burger, Alewyn P.; Harborth, Heiko; Möller, Meinhard 1 2018 The edge Folkman number \(F_e(3,3;4)\) is greater than 19. Zbl 1373.05116Bikov, Aleksandar; Nenov, Nedyalko 6 2017 A unit distance graph in the plane with fractional chromatic number 383/102. Zbl 1360.05032Exoo, Geoffrey; Ismailescu, Dan 3 2017 Graphs with no grid obstacle representation. Zbl 1352.05133Pach, János 3 2016 A generalized isodiametric problem. Zbl 1352.51012Pelekis, Christos 1 2016 Coloring distance graphs: a few answers and many questions. Zbl 1334.05039Kloeckner, Benoît R. 3 2015 New lower bounds on \(\chi ({\mathbb R}^d)\) for \(d = 8,\dots, 12\). Zbl 1327.05247Kahle, Matthew; Taha, Birra 2 2015 Interleaving enhances learning: a possible geometric explanation. Zbl 1331.97003Lerma, Octavio; Kosheleva, Olga; Kreinovich, Vladik 1 2015 A very short proof of a well-known fact about circles in the plane. Zbl 1351.51014Johnson, Peter; Noble, Matt 1 2015 Weighted Erdős-Mordell inequality for star-shaped polygons. Zbl 1352.51017Rosenfeld, Moshe; Tan, Tran Nhat 1 2015 Ordered black boxes: existence. Zbl 1314.03042Shelah, Saharon 4 2014 Covering paths and trees for planar grids. Zbl 1316.05021Keszegh, Balázs 1 2014 Geometric realization of toroidal quadrangulations without hidden symmetries. Zbl 1312.51007Lawrencenko, Serge 1 2014 Multiplication in Newton’s Principia and Jordan-Banach algebras. II. Zbl 1327.46069Wawrzycki, Jarosław 1 2014 Bounds for covers of unit arcs. Zbl 1273.52012Wetzel, John E. 3 2013 The odd-distance graph. Zbl 1277.05072Rosenfeld, Moshe 1 2013 Tiling a unit square with 8 squares. Zbl 1268.52018Praton, Iwan 1 2013 Tangled thrackles. Zbl 1272.05034Pach, János; Radoičić, Radoš; Tóth, Géza 1 2012 The best polynomial bounds for the number of triangles in a simple arrangement of \(n\) pseudo-lines. Zbl 1335.52032Blanc, Jérémy 4 2011 Frobenius problems in the Gaussian integers. Zbl 1506.11040Dutch, Ken; Johnson, Peter; Maier, Christopher; Paschke, Jordan 1 2011 Automated proofs in geometry computing upper bounds for the Heilbronn problem for triangles. Zbl 1506.51014De Comité, Francesco; Delahaye, Jean-Paul 2 2010 Dirac’s conjecture concerning high-incidence elements in aggregates. Zbl 1506.51007Grünbaum, Branko 1 2010 36 two-colored points with no empty monochromatic convex fourgons. Zbl 1506.05066Huemer, Clemens; Seara, Carlos 5 2009 Triangle-free minimum distance graphs in the plane. Zbl 1506.05056Swanepoel, Konrad J. 3 2009 Points in a triangle forcing small triangles. Zbl 1506.52020Kahle, Matthew 1 2009 Small unstretchable simplicial arrangement of pseudolines. Zbl 1506.52046Grünbaum, Branko 1 2009 A note on blocking visibility between points. Zbl 1506.52012Dumitrescu, Adrian; Pach, János; Tóth, Géza 1 2009 On the chromatic number of real and rational spaces. Zbl 1190.05067Cibulka, Josef 8 2008 Tromino tiling deficient cubes of side length \(2^n\). Zbl 1184.05020Starr, Norton 3 2008 A note on convex realizability of arrangements of pseudocircles. Zbl 1159.52022Linhart, Johann; Ortner, Ronald 2 2008 Note on covering square with equal squares. Zbl 1162.52011Karabash, Dmytro; Soifer, Alexander 2 2008 Equidecomposability (scissors congruence) of polyhedra in \(\mathbb R^3\) and \(\mathbb R^4\) is algorithmically decidable: Hilbert’s 3rd problem revisited. Zbl 1161.52011Kreinovich, Vladik 1 2008 \(4=B_1(\mathbb Q^3)=B_1(\mathbb Q^4)\)! Zbl 1506.05070Johnson, Peter 1 2008 \(B_1(\mathbb Q^3)=4\). Zbl 1506.05072Johnson, Peter; Schneider, Andrew; Tiemeyer, Michael 1 2007 On the most wanted Folkman graph. Zbl 1506.05137Radziszowski, Stanisław P.; Xu, Xiaodong 1 2007 Saturated vertex-to-vertex packings of unit tetrahedra. Zbl 1506.52032Harborth, Heiko; Möller, Meinhard 1 2007 Comment on Fox news. Zbl 1145.05020Pach, János; Tóth, Géza 12 2006 Connected \((n_4)\) configurations exist for almost all \(n\) – second update. Zbl 1506.52045Grünbaum, Branko 6 2006 Covering squares with unit squares. Zbl 1097.52005Friedman, Erich; Paterson, David A. 2 2006 Two theorems concerning the Babai numbers. Zbl 1506.05071Johnson, Peter; Lee, Albert 1 2006 A sharper upper bound for cover-up squared. Zbl 1506.52034Karabash, Dmytro; Soifer, Alexander 1 2006 On the number of Euclidean ordinary points for lines in the plane. Zbl 1506.52013Lenchner, Jonathan; Brönnimann, Hervé 1 2006 Are prisms and antiprisms really boring? III. Zbl 1094.52007Grünbaum, Branko 1 2005 Colouring the plane with no monochrome units. Zbl 1506.05079Townsend, S. P. 1 2005 On covering of trigons. Zbl 1506.52033Karabash, Dmytro; Soifer, Alexander 1 2005 30 two-colored points with no empty monochromatic convex fourgons. Zbl 1063.52011Friedman, Erich 4 2004 Empty monochromatic fourgons in two-colored point sets. Zbl 1062.52016Brass, Peter 3 2004 Examples on the plane and \(R^n\). Zbl 1057.03037Soifer, Alexander; Shelah, Saharon 2 2004 Cover-up. Zbl 1057.52009Conway, John H.; Soifer, Alexander 1 2004 Wild polyomino weak \((1,2)\)-achievement games. Zbl 1060.05020Sieben, Nándor 1 2004 Are prisms and antiprisms really boring? I. Zbl 1050.51012Grünbaum, Branko 1 2004 On four points of a convex body in large relative distances. Zbl 1061.52001Lángi, Zsolt; Lassak, Marek 6 2003 Chromatic number of the plane and its relatives. Zbl 1035.05043Soifer, Alexander 6 2003 Midpoints of segments induced by a point set. Zbl 1060.11015Pach, János 6 2003 On the number of points at distance at least 1 in the unit cube. Zbl 1061.52003Bálint, Vojtech; Bálint, Vojtech jun. 3 2003 Chromatic number of the plane and its relatives. II: Polychromatic number and 6-coloring. Zbl 1061.05038Soifer, Alexander 3 2003 (1-2-3)-complexes. Zbl 1045.52004Grünbaum, Branko 2 2003 Open-ended configurations of radio telescopes: A geometrical analysis. Zbl 1142.85300Kreinovich, Vladik; Starks, Scott A.; Iourinski, Dima; Kosheleva, Olga; Finkelstein, Andrei 2 2003 Relative distance and packing a body by homothetical copies. Zbl 1050.52007Lángi, Zsolt; Lassak, Marek 1 2003 Combinatorial games: modular \(n\)-queen. Zbl 1061.05023Khan, Samee Ullah 1 2003 Hunting unit-distance graphs in rational \(n\)-spaces. Zbl 1054.05041Mann, Matthias 1 2003 Connected \((n_4)\) configurations exist for almost all \(n\) – an update. Zbl 1116.52302Grünbaum, Branko 6 2002 No-net polyhedra. Zbl 1010.52010Grünbaum, Branko 5 2002 Squares touching a constant number of other squares. Zbl 1041.52009Friedman, Erich 1 2002 A buttressed octahedron. Zbl 1001.52007Robertson, Lew; Schweitzer, Michael; Wagon, Stan 1 2002 On polygons enclosing point sets. Zbl 1004.52001Czyzowicz, Jurek; Hurtado, Ferran; Urrutia, Jorge; Zaguia, Nejib 4 2001 A relative of “Napoleon’s theorem”. Zbl 0979.51008Grünbaum, Branko 3 2001 Yet another species of forbidden-distances chromatic number. Zbl 0979.05051Abrams, Aaron; Johnson, Peter 2 2001 A starshaped polyhedron with no net. Zbl 0998.52008Grünbaum, Branko 2 2001 The chromatic numbers of some Euclidean distance graphs. Zbl 0990.05048Bohannon, Aaron; Johnson, Peter; Lanig, Jeremy; Rubalcaba, Robert 1 2001 A convex polyhedron which is not equifacettable. Zbl 0998.52007Grünbaum, Branko 1 2001 Problems on approximation by triangles. Zbl 0989.52005Braß, Peter; Lassak, Marek 1 2001 Convex isosceles triangle polyhedra. Zbl 0983.52007Malkevitch, Joseph 1 2001 Cutting circles into equal area pieces. Zbl 0993.51005Bose, Prosenjit; Czyzowicz, Jurek; Kranakis, Evangelos; Krizanc, Danny; Maheshwari, Anil 1 2001 Colorings of metric spaces. Zbl 0951.05037Benda, M.; Perles, M. 27 2000 Thirteen problems on crossing numbers. Zbl 0957.05026Pach, János; Tóth, Géza 26 2000 A Ramsey-type theorem for bipartite graphs. Zbl 0978.05052Erdős, Paul; Hajnal, András; Pach, János 19 2000 Arbitrary girth, 4-chromatic unit distance graphs in the plane. I: Graph description. Zbl 0937.05038O’Donnell, Paul 7 2000 Arbitrary girth, 4-chromatic unit distance graphs in the plane. II: Graph embedding. Zbl 0979.05045O’Donnell, Paul 7 2000 Astral \((n_4)\) configurations. Zbl 0981.51014Grünbaum, Branko 5 2000 Connected (n4) configurations exist for almost all n. Zbl 0966.51012Grünbaum, Branko 3 2000 ...and 52 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 515 Authors 24 Pach, János 19 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 13 Fox, Jacob 11 Tóth, Géza 10 Kreinovich, Vladik Yakovlevich 8 Sagdeev, Arsenii 6 Shelah, Saharon 6 Tomon, István 6 Urrutia Galicia, Jorge L. 5 Berman, Leah Wrenn 5 Dumitrescu, Adrian 5 Hocquard, Hervé 5 Johnson, Peter D. jun. 5 Kosheleva, Olga M. 5 Kyncl, Jan 5 Pisanski, Tomaž 5 Raspaud, André 5 Soifer, Alexander 5 Tóth, Csaba D. 4 Aichholzer, Oswin 4 Bokowski, Jürgen G. 4 Fabila-Monroy, Ruy 4 Grünbaum, Branko 4 Kupavskii, Andrey 4 Montassier, Mickaël 4 Scheucher, Manfred 4 Su, Zhanjun 4 Sudakov, Benny 3 Boben, Marko 3 Demidovich, Yury A. 3 Eppstein, David Arthur 3 Felsner, Stefan 3 Gévay, Gábor E. 3 Graham, Ronald Lewis 3 Hoffmann, Michael 3 Junosza-Szaniawski, Konstanty 3 Krebs, Mike 3 Lenchner, Jonathan 3 O’Rourke, Joseph 3 Parada, Irene 3 Pinchasi, Rom 3 Przybyło, Jakub 3 Richter, Christian 3 Rosenfeld, Moshe 3 Rubanov, O. I. 3 Sakai, Toshinori 3 Toussaint, Godfried T. 3 Valtr, Pavel 3 Węsek, Krzysztof 2 Ábrego, Bernardo Manuel 2 Akitaya, Hugo A. 2 Alon, Noga 2 Ambrus, Gergely 2 Axenovich, Maria A. 2 Balko, Martin 2 Bárány, Imre 2 Befumo, Arthur 2 Bikov, Aleksandar 2 Bose, Prosenjit K. 2 Bousquet, Nicolas 2 Carmi, Paz 2 Černý, Jakub 2 Chen, Liangyu 2 Cherkashin, Danila D. 2 Chung, Fan 2 Damásdi, Gábor 2 Damian, Mirela 2 Demaine, Erik D. 2 Deza, Michel Marie 2 Díaz-Báñez, Jose Miguel 2 Ding, Ren 2 Domokos, Gábor 2 Dujmović, Vida 2 Exoo, Geoffrey 2 Faudree, Jill R. 2 Fernández-Merchant, Silvia 2 Fulek, Radoslav 2 Ghomi, Mohammad 2 Grytczuk, Jarosław 2 Hua, Bobo 2 Hurtado, Ferran 2 Ismailescu, Dan P. 2 Komjáth, Péter 2 Koshelev, Mikhail M. 2 Lagoutte, Aurélie 2 Lan, Wenhua 2 Li, Sipeng 2 Liang, Meilian 2 Mabry, Rick 2 Malen, Greg 2 Mamakani, Khalegh 2 Margenstern, Maurice 2 Matoušek, Jiří 2 Mehrabi, Saeed 2 Mitricheva, I. M. 2 Montecchiani, Fabrizio 2 Morin, Pat 2 Mulzer, Wolfgang Johann Heinrich 2 Nenov, Nedyalko Dimov 2 Noble, Matthew ...and 415 more Authors all top 5 Cited in 91 Journals 37 Discrete & Computational Geometry 34 Discrete Mathematics 20 Discrete Applied Mathematics 14 Mathematical Notes 14 European Journal of Combinatorics 14 Computational Geometry 12 Journal of Combinatorial Theory. Series B 11 Journal of Combinatorial Theory. Series A 11 Graphs and Combinatorics 10 Journal of Mathematical Sciences (New York) 7 The Electronic Journal of Combinatorics 6 Theoretical Computer Science 6 SIAM Journal on Discrete Mathematics 5 Israel Journal of Mathematics 4 Mathematics Magazine 4 Journal of Geometry 4 Journal of Graph Theory 4 Proceedings of the American Mathematical Society 3 International Journal of Theoretical Physics 3 Periodica Mathematica Hungarica 3 Problems of Information Transmission 3 Acta Mathematica Hungarica 3 Journal of Combinatorial Optimization 3 The Art of Discrete and Applied Mathematics 2 The Mathematical Intelligencer 2 Advances in Mathematics 2 Geometriae Dedicata 2 Journal of Computer and System Sciences 2 Order 2 Random Structures & Algorithms 2 Aequationes Mathematicae 2 Elemente der Mathematik 2 The Australasian Journal of Combinatorics 2 St. Petersburg Mathematical Journal 2 Sbornik: Mathematics 2 Journal of Graph Algorithms and Applications 2 Nexus Network Journal 2 Moscow Journal of Combinatorics and Number Theory 2 Forum of Mathematics, Sigma 1 American Mathematical Monthly 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 The Mathematical Gazette 1 Beiträge zur Algebra und Geometrie 1 The Annals of Probability 1 Applied Mathematics and Computation 1 Canadian Mathematical Bulletin 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Results in Mathematics 1 Semigroup Forum 1 Tamkang Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Computer Aided Geometric Design 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Algorithmica 1 International Journal of Approximate Reasoning 1 Applied Mathematics Letters 1 Journal of Global Optimization 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Archive for Mathematical Logic 1 Journal of Knot Theory and its Ramifications 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Topological Methods in Nonlinear Analysis 1 Georgian Mathematical Journal 1 Discussiones Mathematicae. Graph Theory 1 Reliable Computing 1 Izvestiya: Mathematics 1 Journal of Applied Analysis 1 Doklady Mathematics 1 Theory of Computing Systems 1 Vietnam Journal of Mathematics 1 Journal for Geometry and Graphics 1 Geometry & Topology 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Advances in Geometry 1 Journal of Applied Mathematics and Computing 1 Journal of Discrete Algorithms 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 The College Mathematics Journal 1 Involve 1 Journal of Gökova Geometry Topology GGT 1 Computer Science Review 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 PUMP Journal of Undergraduate Research 1 DML. Discrete Mathematics Letters all top 5 Cited in 38 Fields 228 Combinatorics (05-XX) 104 Convex and discrete geometry (52-XX) 40 Geometry (51-XX) 37 Computer science (68-XX) 11 Mathematical logic and foundations (03-XX) 10 Operations research, mathematical programming (90-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Manifolds and cell complexes (57-XX) 8 Number theory (11-XX) 8 Numerical analysis (65-XX) 6 Differential geometry (53-XX) 6 Probability theory and stochastic processes (60-XX) 4 History and biography (01-XX) 4 Group theory and generalizations (20-XX) 4 General topology (54-XX) 3 Algebraic geometry (14-XX) 3 Measure and integration (28-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year