Çelik, Türkü Özlüm; Jamneshan, Asgar; Montúfar, Guido; Sturmfels, Bernd; Venturello, Lorenzo Wasserstein distance to independence models. (English) Zbl 07312503 J. Symb. Comput. 104, 855-873 (2021). MSC: 62R01 60C05 62B05 PDF BibTeX XML Cite \textit{T. Ö. Çelik} et al., J. Symb. Comput. 104, 855--873 (2021; Zbl 07312503) Full Text: DOI
Alexander, Matthew; Fradelizi, Matthieu; García-Lirola, Luis C.; Zvavitch, Artem Geometry and volume product of finite dimensional Lipschitz-free spaces. (English) Zbl 07289416 J. Funct. Anal. 280, No. 4, Article ID 108849, 39 p. (2021). Reviewer: Zsolt Lángi (Budapest) MSC: 52A38 52A40 54E45 05C12 PDF BibTeX XML Cite \textit{M. Alexander} et al., J. Funct. Anal. 280, No. 4, Article ID 108849, 39 p. (2021; Zbl 07289416) Full Text: DOI
Rafiullah, Muhammad; Siddiqui, Hafiz Muhammad Afzal; Ahmad, Sarfraz Resolvability of some convex polytopes. (English) Zbl 1427.05075 Util. Math. 111, 309-323 (2019). MSC: 05C12 05C76 05C90 PDF BibTeX XML Cite \textit{M. Rafiullah} et al., Util. Math. 111, 309--323 (2019; Zbl 1427.05075)
Deza, Antoine; Pournin, Lionel Diameter, decomposability, and Minkowski sums of polytopes. (English) Zbl 1429.52014 Can. Math. Bull. 62, No. 4, 741-755 (2019). MSC: 52B11 05C12 PDF BibTeX XML Cite \textit{A. Deza} and \textit{L. Pournin}, Can. Math. Bull. 62, No. 4, 741--755 (2019; Zbl 1429.52014) Full Text: DOI arXiv
Nielsen, Frank; Sun, Ke Clustering in Hilbert’s projective geometry: the case studies of the probability simplex and the elliptope of correlation matrices. (English) Zbl 1418.53022 Nielsen, Frank (ed.), Geometric structures of information. Proceedings of the conference on geometric science of information, GSI 2017. Cham: Springer. Signals Commun. Technol., 297-331 (2019). MSC: 53B20 60E05 51A05 51M35 PDF BibTeX XML Cite \textit{F. Nielsen} and \textit{K. Sun}, in: Geometric structures of information. Proceedings of the conference on geometric science of information, GSI 2017. Cham: Springer. 297--331 (2019; Zbl 1418.53022) Full Text: DOI
Bogart, Tristram C.; Kim, Edward D. Superlinear subset partition graphs with dimension reduction, strong adjacency, and endpoint count. (English) Zbl 1399.05029 Combinatorica 38, No. 1, 75-114 (2018). Reviewer: Ágota H. Temesvári (Budapest) MSC: 05B40 05C12 52B05 90C05 PDF BibTeX XML Cite \textit{T. C. Bogart} and \textit{E. D. Kim}, Combinatorica 38, No. 1, 75--114 (2018; Zbl 1399.05029) Full Text: DOI arXiv
Gupte, Akshay; Poznanović, Svetlana On Dantzig figures from graded lexicographic orders. (English) Zbl 1384.05078 Discrete Math. 341, No. 6, 1534-1554 (2018). MSC: 05C12 05C45 PDF BibTeX XML Cite \textit{A. Gupte} and \textit{S. Poznanović}, Discrete Math. 341, No. 6, 1534--1554 (2018; Zbl 1384.05078) Full Text: DOI
Pak, Igor; Wilson, Stedman Skyscraper polytopes and realizations of plane triangulations. (English) Zbl 1371.05056 J. Comb. Theory, Ser. B 127, 82-110 (2017). MSC: 05C10 05C12 52B12 PDF BibTeX XML Cite \textit{I. Pak} and \textit{S. Wilson}, J. Comb. Theory, Ser. B 127, 82--110 (2017; Zbl 1371.05056) Full Text: DOI
Lin, Bo; Sturmfels, Bernd; Tang, Xiaoxian; Yoshida, Ruriko Convexity in tree spaces. (English) Zbl 1370.05040 SIAM J. Discrete Math. 31, No. 3, 2015-2038 (2017). MSC: 05C05 30F45 52B40 68U05 92D15 52A99 PDF BibTeX XML Cite \textit{B. Lin} et al., SIAM J. Discrete Math. 31, No. 3, 2015--2038 (2017; Zbl 1370.05040) Full Text: DOI arXiv
Bárány, Imre; Hug, Daniel; Reitzner, Matthias; Schneider, Rolf Random points in halfspheres. (English) Zbl 1362.52002 Random Struct. Algorithms 50, No. 1, 3-22 (2017). Reviewer: Viktor Ohanyan (Erevan) MSC: 52A22 60D05 52A20 PDF BibTeX XML Cite \textit{I. Bárány} et al., Random Struct. Algorithms 50, No. 1, 3--22 (2017; Zbl 1362.52002) Full Text: DOI arXiv
Alexandrov, Victor An analogue of a theorem of van der Waerden, and its application to two-distance preserving mappings. (English) Zbl 1389.52014 Period. Math. Hung. 72, No. 2, 252-257 (2016). Reviewer: Horst Martini (Chemnitz) MSC: 52B11 52B70 52C25 51K05 PDF BibTeX XML Cite \textit{V. Alexandrov}, Period. Math. Hung. 72, No. 2, 252--257 (2016; Zbl 1389.52014) Full Text: DOI
Imran, M.; Siddiqui, H. M. A. Computing the metric dimension of convex polytopes generated by wheel related graphs. (English) Zbl 1389.05029 Acta Math. Hung. 149, No. 1, 10-30 (2016). Reviewer: Wai-Kai Chen (Fremont) MSC: 05C12 PDF BibTeX XML Cite \textit{M. Imran} and \textit{H. M. A. Siddiqui}, Acta Math. Hung. 149, No. 1, 10--30 (2016; Zbl 1389.05029) Full Text: DOI
Al-Mushayt, O.; Ahmad, Ali; Siddiqui, M. K. Irregular total labelings of convex polytope graphs having the same diameter. (English) Zbl 1372.05184 Util. Math. 101, 295-307 (2016). Reviewer: Linda Lesniak (Kalamazoo) MSC: 05C78 05C12 PDF BibTeX XML Cite \textit{O. Al-Mushayt} et al., Util. Math. 101, 295--307 (2016; Zbl 1372.05184)
Doignon, Jean-Paul; Fiorini, Samuel; Rexhep, Selim The linear extension polytope of a poset. (English) Zbl 1356.05033 Ceselli, Alberto (ed.) et al., Extended abstracts of the 14th Cologne-Twente workshop on graphs and combinatorial optimization (CTW’16), Gargnano, Italy, June 6–8, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 55, 81-84 (2016). MSC: 05C12 06A07 90C27 90C10 52B99 PDF BibTeX XML Cite \textit{J.-P. Doignon} et al., Electron. Notes Discrete Math. 55, 81--84 (2016; Zbl 1356.05033) Full Text: DOI
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. Q.; Tomescu, Ioan On metric dimension of convex polytopes with pendant edges. (English) Zbl 1424.05067 Ars Comb. 125, 433-447 (2016). Reviewer: G. N. Prasanth (Alappuzha) MSC: 05C12 52B99 PDF BibTeX XML Cite \textit{M. Imran} et al., Ars Comb. 125, 433--447 (2016; Zbl 1424.05067)
Malik, M. Aslam; Sarwar, Musavarah On the metric dimension of two families of convex polytopes. (English) Zbl 1337.05032 Afr. Mat. 27, No. 1-2, 229-238 (2016). MSC: 05C12 05C40 05C10 52A99 PDF BibTeX XML Cite \textit{M. A. Malik} and \textit{M. Sarwar}, Afr. Mat. 27, No. 1--2, 229--238 (2016; Zbl 1337.05032) Full Text: DOI
Blanco, Marco; Borndörfer, Ralf; Brückner, Michael; Hoàng, Nam Dũng; Schlechte, Thomas On the path avoiding forbidden pairs polytope. (English) Zbl 1347.05100 Campêlo, Manoel (ed.) et al., LAGOS ’15. Selected papers of the 8th Latin-American algorithms, graphs, and optimization symposium, Praia das Fontes, Beberibe, Brazil, May 11–15, 2015. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 50, 343-348, electronic only (2015). MSC: 05C38 05C12 05C35 05C20 PDF BibTeX XML Cite \textit{M. Blanco} et al., Electron. Notes Discrete Math. 50, 343--348 (2015; Zbl 1347.05100) Full Text: DOI
Ibrahim, M. S.; Maculan, N.; Minoux, M. Valid inequalities and lifting procedures for the shortest path problem in digraphs with negative cycles. (English) Zbl 1309.05085 Optim. Lett. 9, No. 2, 345-357 (2015). MSC: 05C20 05C38 05C12 05C35 PDF BibTeX XML Cite \textit{M. S. Ibrahim} et al., Optim. Lett. 9, No. 2, 345--357 (2015; Zbl 1309.05085) Full Text: DOI
Tikhomirov, Konstantin E. On the distance of polytopes with few vertices to the Euclidean ball. (English) Zbl 1310.52014 Discrete Comput. Geom. 53, No. 1, 173-181 (2015). MSC: 52B11 52A20 PDF BibTeX XML Cite \textit{K. E. Tikhomirov}, Discrete Comput. Geom. 53, No. 1, 173--181 (2014; Zbl 1310.52014) Full Text: DOI
Litvak, Alexander E.; Rudelson, Mark; Tomczak-Jaegermann, Nicole On approximation by projections of polytopes with few facets. (English) Zbl 1310.52007 Isr. J. Math. 203, 141-160 (2014). Reviewer: T. D. Narang (Amritsar) MSC: 52A27 PDF BibTeX XML Cite \textit{A. E. Litvak} et al., Isr. J. Math. 203, 141--160 (2014; Zbl 1310.52007) Full Text: DOI arXiv
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. G. On the metric dimension of convex polytopes. (English) Zbl 1301.05104 AKCE Int. J. Graphs Comb. 10, No. 3, 295-307 (2013). MSC: 05C12 05C10 52B11 PDF BibTeX XML Cite \textit{M. Imran} et al., AKCE Int. J. Graphs Comb. 10, No. 3, 295--307 (2013; Zbl 1301.05104)
Nikolov, Nikolai; Rafailov, Rafael On extremums of sums of powered distances to a finite set of points. (English) Zbl 1287.52007 Geom. Dedicata 167, 69-89 (2013). Reviewer: Alexander Esterov (Moscow) MSC: 52A40 PDF BibTeX XML Cite \textit{N. Nikolov} and \textit{R. Rafailov}, Geom. Dedicata 167, 69--89 (2013; Zbl 1287.52007) Full Text: DOI arXiv
Imran, Muhammad; Bokhary, Syed Ahtsham ul Haq; Ahmad, Ali; Semaničová-Feňovčíková, Andrea On classes of regular graphs with constant metric dimension. (English) Zbl 1289.05125 Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 1, 187-206 (2013). MSC: 05C12 PDF BibTeX XML Cite \textit{M. Imran} et al., Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 1, 187--206 (2013; Zbl 1289.05125) Full Text: DOI
Fresen, Daniel A multivariate Gnedenko law of large numbers. (English) Zbl 1293.60012 Ann. Probab. 41, No. 5, 3051-3080 (2013). Reviewer: Wolfgang Weil (Karlsruhe) MSC: 60D05 60F99 52A20 52A22 52B11 PDF BibTeX XML Cite \textit{D. Fresen}, Ann. Probab. 41, No. 5, 3051--3080 (2013; Zbl 1293.60012) Full Text: DOI Euclid arXiv
Imran, Muhammad; Baig, A. Q. An infinite class of convex polytopes with constant metric dimension. (English) Zbl 1253.05065 J. Comb. Math. Comb. Comput. 81, 3-9 (2012). MSC: 05C12 05C40 05C75 05C10 52B12 PDF BibTeX XML Cite \textit{M. Imran} and \textit{A. Q. Baig}, J. Comb. Math. Comb. Comput. 81, 3--9 (2012; Zbl 1253.05065)
Herrmann, Sven; Moulton, Vincent The split decomposition of a \(k\)-dissimilarity map. (English) Zbl 1244.05057 Adv. Appl. Math. 49, No. 1, 39-56 (2012). MSC: 05C05 52B11 92D15 PDF BibTeX XML Cite \textit{S. Herrmann} and \textit{V. Moulton}, Adv. Appl. Math. 49, No. 1, 39--56 (2012; Zbl 1244.05057) Full Text: DOI arXiv
Santos, Francisco; Stephen, Tamon; Thomas, Hugh Embedding a pair of graphs in a surface, and the width of 4-dimensional prismatoids. (English) Zbl 1238.05078 Discrete Comput. Geom. 47, No. 3, 569-576 (2012). MSC: 05C12 05C60 52B99 PDF BibTeX XML Cite \textit{F. Santos} et al., Discrete Comput. Geom. 47, No. 3, 569--576 (2012; Zbl 1238.05078) Full Text: DOI arXiv
Akiyama, Jin; Chen, Xin; Nakamura, Gisaku; Ruiz, Mari-Jo Minimum perimeter developments of the Platonic solids. (English) Zbl 1275.52009 Thai J. Math. 9, No. 3, 461-487 (2011). Reviewer: Eva Linke (Magdeburg) MSC: 52B10 05C05 05C12 05C35 PDF BibTeX XML Cite \textit{J. Akiyama} et al., Thai J. Math. 9, No. 3, 461--487 (2011; Zbl 1275.52009) Full Text: Link
Cueto, María Angélica; Matsen, Frederick A. Polyhedral geometry of phylogenetic rogue taxa. (English) Zbl 1215.92047 Bull. Math. Biol. 73, No. 6, 1202-1226 (2011). MSC: 92D15 52B99 05C90 90C90 PDF BibTeX XML Cite \textit{M. A. Cueto} and \textit{F. A. Matsen}, Bull. Math. Biol. 73, No. 6, 1202--1226 (2011; Zbl 1215.92047) Full Text: DOI arXiv
Imran, Muhammad; Bokhary, Syed Ahtsham Ul Haq; Baig, A. Q. On families of convex polytopes with constant metric dimension. (English) Zbl 1205.05067 Comput. Math. Appl. 60, No. 9, 2629-2638 (2010). MSC: 05C12 52B12 PDF BibTeX XML Cite \textit{M. Imran} et al., Comput. Math. Appl. 60, No. 9, 2629--2638 (2010; Zbl 1205.05067) Full Text: DOI
Gärtner, Bernd; Jaggi, Martin Coresets for polytope distance. (English) Zbl 1380.68396 Proceedings of the 25th annual symposium on computational geometry, SCG 2009, Aarhus, Denmark, June 8–10, 2009. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-60558-501-7). 33-42 (2009). MSC: 68U05 68W25 90C59 PDF BibTeX XML Cite \textit{B. Gärtner} and \textit{M. Jaggi}, in: Proceedings of the 25th annual symposium on computational geometry, SCG 2009, Aarhus, Denmark, June 8--10, 2009. New York, NY: Association for Computing Machinery (ACM). 33--42 (2009; Zbl 1380.68396) Full Text: DOI
Maksimenko, A. M. The diameter of the ridge-graph of a cyclic polytope. (English. Russian original) Zbl 1237.05060 Discrete Math. Appl. 19, No. 1, 47-53 (2009); translation from Diskretn. Mat. 21, No. 2, 146-152 (2009). MSC: 05C12 52B99 PDF BibTeX XML Cite \textit{A. M. Maksimenko}, Discrete Math. Appl. 19, No. 1, 47--53 (2009; Zbl 1237.05060); translation from Diskretn. Mat. 21, No. 2, 146--152 (2009) Full Text: DOI
Böröczky, K. jun.; Fodor, F.; Vígh, V. Approximating \(3\)-dimensional convex bodies by polytopes with a restricted number of edges. (English) Zbl 1147.52002 Beitr. Algebra Geom. 49, No. 1, 177-193 (2008). Reviewer: Monika Ludwig (Brooklyn) MSC: 52A27 52A40 PDF BibTeX XML Cite \textit{K. Böröczky jun.} et al., Beitr. Algebra Geom. 49, No. 1, 177--193 (2008; Zbl 1147.52002) Full Text: EMIS EuDML
Latala, Rafal; Mankiewicz, Piotr; Oleszkiewicz, Krzysztof; Tomczak-Jaegermann, Nicole Banach-Mazur distances and projections on random subgaussian polytopes. (English) Zbl 1134.52016 Discrete Comput. Geom. 38, No. 1, 29-50 (2007). Reviewer: Volker Kaibel (Magdeburg) MSC: 52B11 PDF BibTeX XML Cite \textit{R. Latala} et al., Discrete Comput. Geom. 38, No. 1, 29--50 (2007; Zbl 1134.52016) Full Text: DOI
Lee, Eva K.; Easton, Todd; Gupta, Kapil Novel evolutionary models and applications to sequence alignment problems. (English) Zbl 1106.92022 Ann. Oper. Res. 148, 167-187 (2006). MSC: 92C40 92D15 90C59 90C10 PDF BibTeX XML Cite \textit{E. K. Lee} et al., Ann. Oper. Res. 148, 167--187 (2006; Zbl 1106.92022) Full Text: DOI
Aichholzer, Oswin; Aurenhammer, Franz; Krasser, Hannes; Brass, Peter Pseudotriangulations from surfaces and a novel type of edge flip. (English) Zbl 1041.68105 SIAM J. Comput. 32, No. 6, 1621-1653 (2003). MSC: 68U05 68W40 52C45 52C25 52B55 52B05 PDF BibTeX XML Cite \textit{O. Aichholzer} et al., SIAM J. Comput. 32, No. 6, 1621--1653 (2003; Zbl 1041.68105) Full Text: DOI
Icking, Christian; Ha, Lihong A tight bound for the complexity of Voroni diagrams under polyhedral convex distance functions in 3D. (English) Zbl 1323.68299 Proceedings of the thirty-third annual ACM symposium on theory of computing, STOC 2001. Hersonissos, Crete, Greece, July 6–8, 2001. New York, NY: ACM Press (ISBN 1-581-13349-9). 316-321 (2001). MSC: 68Q17 68Q25 68U05 PDF BibTeX XML Cite \textit{C. Icking} and \textit{L. Ha}, in: Proceedings of the thirty-third annual ACM symposium on theory of computing, STOC 2001. Hersonissos, Crete, Greece, July 6--8, 2001. New York, NY: ACM Press. 316--321 (2001; Zbl 1323.68299) Full Text: DOI
Deza, Michel; Panteleeva, Elena Quasi-semi-metrics, oriented multi-cuts and related polyhedra. (English) Zbl 0966.52010 Eur. J. Comb. 21, No. 6, 777-795 (2000). Reviewer: Maria do Rosário Pinto (Porto) MSC: 52B11 05C12 PDF BibTeX XML Cite \textit{M. Deza} and \textit{E. Panteleeva}, Eur. J. Comb. 21, No. 6, 777--795 (2000; Zbl 0966.52010) Full Text: DOI
Sierksma, Gerard; Teunter, Ruud H. Partial monotonizations of Hamiltonian cycle polytopes: Dimensions and diameters. (English) Zbl 0958.05081 Discrete Appl. Math. 105, No. 1-3, 173-182 (2000). Reviewer: Stanislav Jendrol’ (Košice) MSC: 05C45 05C12 PDF BibTeX XML Cite \textit{G. Sierksma} and \textit{R. H. Teunter}, Discrete Appl. Math. 105, No. 1--3, 173--182 (2000; Zbl 0958.05081) Full Text: DOI
Aliyu, M. D. S. A vertex algorithm for collision detection. (English) Zbl 0979.90123 Eur. J. Oper. Res. 120, No. 1, 174-180 (2000). MSC: 90C57 90C30 90C90 93C85 PDF BibTeX XML Cite \textit{M. D. S. Aliyu}, Eur. J. Oper. Res. 120, No. 1, 174--180 (2000; Zbl 0979.90123) Full Text: DOI
Chervyakov, O. V. Affine symmetries of the polytope of an independence system with the unit shift. (Russian) Zbl 0938.94018 Diskretn. Anal. Issled. Oper., Ser. 1 6, No. 2, 82-96 (1999). Reviewer: O.V.Borodin (Novosibirsk) MSC: 94B25 94B60 05C12 PDF BibTeX XML Cite \textit{O. V. Chervyakov}, Diskretn. Anal. Issled. Oper., Ser. 1 6, No. 2, 82--96 (1999; Zbl 0938.94018)
Gruber, Peter M. Asymptotic estimates for best and stepwise approximation of convex bodies. I. (English) Zbl 0780.52005 Forum Math. 5, No. 3, 281-297 (1993). Reviewer: M.Lassak (Bydgoszcz) MSC: 52A27 41A60 52A20 52A21 PDF BibTeX XML Cite \textit{P. M. Gruber}, Forum Math. 5, No. 3, 281--297 (1993; Zbl 0780.52005) Full Text: DOI EuDML
Plotnikov, S. V. On a scheme of algorithms for finding the distance between polytopes. (Russian. English summary) Zbl 0815.90118 Tr. Inst. Mat. Mekh. (Ekaterinburg) 2, 214-224 (1992). MSC: 90C20 PDF BibTeX XML Cite \textit{S. V. Plotnikov}, Tr. Inst. Mat. Mekh. (Ekaterinburg) 2, 214--224 (1992; Zbl 0815.90118)
Eckhardt, Ulrich; Kemmann, Thomas Ein Verfahren zur Lösung des Least Distance Problems. (A method for the solution of the least distance problem). (German) Zbl 0639.65010 Ökonomie und Mathematik, R. Henn 65. Geb., 126-138 (1987). Reviewer: R.Wegmann MSC: 65D15 65K05 52Bxx 90C25 PDF BibTeX XML
Problems. (Problem section of the international conference on intuitive geometry). (English) Zbl 0622.52008 Intuitive geometry, Pap. Int. Conf., Siófok/Hung. 1985, Colloq. Math. Soc. János Bolyai 48, 691-700 (1987). MSC: 52A40 52C17 52C07 52Bxx PDF BibTeX XML
Wakabayashi, Yoshiko Aggregation of binary relations: algorithmic and polyhedral investigations. (English) Zbl 0606.68036 Naturwissenschaftliche Fakultät der Universität Augsburg. 191 p. (1986). MSC: 68Q25 03E20 90C05 PDF BibTeX XML
von Hohenbalken, Balder Least distance methods for the scheme of polytopes. (English) Zbl 0406.65033 Math. Program. 15, 1-11 (1978). MSC: 65K05 90C20 PDF BibTeX XML Cite \textit{B. von Hohenbalken}, Math. Program. 15, 1--11 (1978; Zbl 0406.65033) Full Text: DOI