Soltan, Valeriu Extreme points of convex sets. (English) Zbl 1514.52003 J. Convex Anal. 30, No. 1, 205-216 (2023). Reviewer: Alexey Alimov (Moskva) MSC: 52A20 90C25 PDFBibTeX XMLCite \textit{V. Soltan}, J. Convex Anal. 30, No. 1, 205--216 (2023; Zbl 1514.52003) Full Text: Link
Soltan, Valeriu Projections and generated cones of homothetic convex sets. (English) Zbl 1516.52004 Beitr. Algebra Geom. 64, No. 1, 127-143 (2023). Reviewer: Andrea Colesanti (Firenze) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Beitr. Algebra Geom. 64, No. 1, 127--143 (2023; Zbl 1516.52004) Full Text: DOI
Soltan, Valeriu Local conicity and polyhedrality of convex sets. (English) Zbl 1502.52006 Result. Math. 77, No. 5, Paper No. 188, 13 p. (2022). Reviewer: Alexey Alimov (Moskva) MSC: 52A20 52A35 90C25 PDFBibTeX XMLCite \textit{V. Soltan}, Result. Math. 77, No. 5, Paper No. 188, 13 p. (2022; Zbl 1502.52006) Full Text: DOI
Soltan, Valeriu Boundedly polyhedral sets and \(F\)-simplices. (English) Zbl 1494.51008 J. Convex Anal. 29, No. 3, 807-826 (2022). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51M20 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, J. Convex Anal. 29, No. 3, 807--826 (2022; Zbl 1494.51008) Full Text: Link
Soltan, Valeriu Support and separation properties of convex sets in finite dimension. (English) Zbl 1487.52008 Extr. Math. 36, No. 2, 241-278 (2021). Reviewer: Alexey Alimov (Moskva) MSC: 52A20 52-02 PDFBibTeX XMLCite \textit{V. Soltan}, Extr. Math. 36, No. 2, 241--278 (2021; Zbl 1487.52008) Full Text: DOI
Soltan, Valeriu Separating hyperplanes of convex sets. (English) Zbl 1490.52003 J. Convex Anal. 28, No. 4, 1015-1032 (2021). Reviewer: Gabriela Cristescu (Arad) MSC: 52A15 52A20 90C25 PDFBibTeX XMLCite \textit{V. Soltan}, J. Convex Anal. 28, No. 4, 1015--1032 (2021; Zbl 1490.52003) Full Text: Link
Soltan, V. Cone asymptotes of convex sets. (English) Zbl 1480.52004 Extr. Math. 36, No. 1, 81-98 (2021). Reviewer: Pedro Martín Jiménez (Badajoz) MSC: 52A20 90C25 PDFBibTeX XMLCite \textit{V. Soltan}, Extr. Math. 36, No. 1, 81--98 (2021; Zbl 1480.52004) Full Text: DOI
Soltan, Valeriu Penumbras and separation of convex sets. (English) Zbl 1472.52007 Result. Math. 76, No. 1, Paper No. 25, 21 p. (2021). Reviewer: Gennadiy Averkov (Magdeburg) MSC: 52A20 90C25 PDFBibTeX XMLCite \textit{V. Soltan}, Result. Math. 76, No. 1, Paper No. 25, 21 p. (2021; Zbl 1472.52007) Full Text: DOI
Soltan, Valeriu On M-predecomposable sets. (English) Zbl 1462.52005 Beitr. Algebra Geom. 62, No. 1, 205-218 (2021). Reviewer: Sorin-Mihai Grad (Wien) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Beitr. Algebra Geom. 62, No. 1, 205--218 (2021; Zbl 1462.52005) Full Text: DOI
Soltan, Valeriu Asymmetric separation of convex sets. (English) Zbl 1454.52005 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2020, No. 2(93), 88-101 (2020). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Bul. Acad. Științe Repub. Mold., Mat. 2020, No. 2(93), 88--101 (2020; Zbl 1454.52005) Full Text: Link
Soltan, Valeriu On M-decomposable sets. (English) Zbl 1445.52003 J. Math. Anal. Appl. 485, No. 2, Article ID 123816, 15 p. (2020). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, J. Math. Anal. Appl. 485, No. 2, Article ID 123816, 15 p. (2020; Zbl 1445.52003) Full Text: DOI
Soltan, Valeriu Helly-type results on support lines for disjoint families of unit disks. (English) Zbl 1479.52013 Beitr. Algebra Geom. 61, No. 1, 139-150 (2020). Reviewer: Martin Tancer (Praha) MSC: 52A35 PDFBibTeX XMLCite \textit{V. Soltan}, Beitr. Algebra Geom. 61, No. 1, 139--150 (2020; Zbl 1479.52013) Full Text: DOI
Soltan, Valeriu Lectures on convex sets. 2nd edition. (English) Zbl 1431.52001 Hackensack, NJ: World Scientific (ISBN 978-981-12-0211-7/hbk; 978-981-12-0351-0/pbk; 978-981-120-213-1/ebook). xviii, 592 p. (2020). MSC: 52-01 52-00 52A20 52B05 52B11 PDFBibTeX XMLCite \textit{V. Soltan}, Lectures on convex sets. 2nd edition. Hackensack, NJ: World Scientific (2020; Zbl 1431.52001) Full Text: DOI
Soltan, Valeriu Moreau-type characterizations of polar cones. (English) Zbl 1420.90046 Linear Algebra Appl. 567, 45-62 (2019). MSC: 90C25 52A20 15A39 PDFBibTeX XMLCite \textit{V. Soltan}, Linear Algebra Appl. 567, 45--62 (2019; Zbl 1420.90046) Full Text: DOI arXiv
Soltan, Valeriu Characteristic properties of ellipsoids and convex quadrics. (English) Zbl 1433.52001 Aequationes Math. 93, No. 2, 371-413 (2019). Reviewer: Andrea Colesanti (Firenze) MSC: 52-02 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Aequationes Math. 93, No. 2, 371--413 (2019; Zbl 1433.52001) Full Text: DOI
Soltan, Valeriu Asymptotic planes and closedness conditions for linear images and vector sums of sets. (English) Zbl 1405.52003 J. Convex Anal. 25, No. 4, 1183-1196 (2018). Reviewer: Sorin-Mihai Grad (Vienna) MSC: 52A20 90C25 PDFBibTeX XMLCite \textit{V. Soltan}, J. Convex Anal. 25, No. 4, 1183--1196 (2018; Zbl 1405.52003) Full Text: Link
Soltan, Valeriu Polarity and separation of cones. (English) Zbl 1374.90308 Linear Algebra Appl. 538, 212-224 (2018). MSC: 90C25 52A20 15A39 PDFBibTeX XMLCite \textit{V. Soltan}, Linear Algebra Appl. 538, 212--224 (2018; Zbl 1374.90308) Full Text: DOI
Soltan, Valeriu Convex surfaces with planar polar sets and point-source shadow-boundaries. (English) Zbl 1387.52003 J. Convex Anal. 24, No. 2, 645-660 (2017). Reviewer: Maria Angeles Alfonseca (Fargo) MSC: 52A15 PDFBibTeX XMLCite \textit{V. Soltan}, J. Convex Anal. 24, No. 2, 645--660 (2017; Zbl 1387.52003) Full Text: Link
Morris, Walter; Soltan, Valeriu The Erdős-Szekeres problem. (English) Zbl 1356.52008 Nash, John Forbes jun. (ed.) et al., Open problems in mathematics. Cham: Springer (ISBN 978-3-319-32160-8/hbk; 978-3-319-32162-2/ebook). 351-375 (2016). Reviewer: László A. Székely (Columbia) MSC: 52C10 52A10 52A20 PDFBibTeX XMLCite \textit{W. Morris} and \textit{V. Soltan}, in: Open problems in mathematics. Cham: Springer. 351--375 (2016; Zbl 1356.52008) Full Text: DOI
Lawrence, Jim; Soltan, Valeriu On unions and intersections of nested families of cones. (English) Zbl 1358.52008 Beitr. Algebra Geom. 57, No. 3, 655-665 (2016). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A20 51M05 PDFBibTeX XMLCite \textit{J. Lawrence} and \textit{V. Soltan}, Beitr. Algebra Geom. 57, No. 3, 655--665 (2016; Zbl 1358.52008) Full Text: DOI
Soltan, Valeriu Convex hypersurfaces with hyperplanar intersections of their homothetic copies. (English) Zbl 1319.52009 J. Convex Anal. 22, No. 1, 145-159 (2015). Reviewer: Lángi Zsolt (Budapest) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, J. Convex Anal. 22, No. 1, 145--159 (2015; Zbl 1319.52009) Full Text: Link
Soltan, Valeriu Lectures on convex sets. (English) Zbl 1327.52001 Hackensack, NJ: World Scientific (ISBN 978-981-4656-68-9/hbk; 978-981-4656-69-6/pbk; 978-981-4656-71-9/ebook). x, 405 p. (2015). Reviewer: Robert Dawson (Halifax) MSC: 52-01 52-00 52A20 52B05 52B11 PDFBibTeX XMLCite \textit{V. Soltan}, Lectures on convex sets. Hackensack, NJ: World Scientific (2015; Zbl 1327.52001) Full Text: DOI
Lawrence, Jim; Soltan, Valeriu Carathéodory-type results for the sums and unions of convex sets. (English) Zbl 1284.52008 Rocky Mt. J. Math. 43, No. 5, 1675-1688 (2013). Reviewer: Anatoliy Milka (Kharkov) MSC: 52A20 PDFBibTeX XMLCite \textit{J. Lawrence} and \textit{V. Soltan}, Rocky Mt. J. Math. 43, No. 5, 1675--1688 (2013; Zbl 1284.52008) Full Text: DOI Euclid
Soltan, Valeriu Convex quadrics and their characterizations by means of plane sections. (English) Zbl 1270.52005 Toni, Bourama (ed.) et al., Bridging mathematics, statistics, engineering and technology. Contributions from the fall 2011 seminar on mathematical sciences and applications, Virginia State University, Petersburg, VA, USA, 2011. Berlin: Springer (ISBN 978-1-4614-4558-6/hbk; 978-1-4614-4559-3/ebook). Springer Proceedings in Mathematics & Statistics 24, 131-145 (2012). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Springer Proc. Math. Stat. 24, 131--145 (2012; Zbl 1270.52005) Full Text: DOI
Soltan, Valeriu Convex solids whose point-source shadow-boundaries lie in hyperplanes. (English) Zbl 1271.52002 J. Geom. 103, No. 1, 149-160 (2012). Reviewer: Alexander Esterov (Moscow) MSC: 52A20 14N25 PDFBibTeX XMLCite \textit{V. Soltan}, J. Geom. 103, No. 1, 149--160 (2012; Zbl 1271.52002) Full Text: DOI
Soltan, Valeriu Convex solids with hyperplanar shadow-boundaries. (English) Zbl 1269.52007 J. Convex Anal. 19, No. 3, 591-607 (2012). Reviewer: Yurii G. Nikonorov (Volgodonsk) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, J. Convex Anal. 19, No. 3, 591--607 (2012; Zbl 1269.52007) Full Text: Link
Soltan, Valeriu Convex solids with hyperplanar midsurfaces for restricted families of chords. (English) Zbl 1244.52008 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2011, No. 2(66), 23-40 (2011). Reviewer: Alexey Alimov (Moskva) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Bul. Acad. Științe Repub. Mold., Mat. 2011, No. 2(66), 23--40 (2011; Zbl 1244.52008) Full Text: Link
Soltan, Valeriu A characteristic intersection property of generalized simplices. (English) Zbl 1225.52003 J. Convex Anal. 18, No. 2, 529-543 (2011). Reviewer: Alexey Alimov (Moskva) MSC: 52A20 51M20 PDFBibTeX XMLCite \textit{V. Soltan}, J. Convex Anal. 18, No. 2, 529--543 (2011; Zbl 1225.52003) Full Text: Link
Soltan, Valeriu Convex quadrics. (English) Zbl 1219.52005 Bul. Acad. Ştiinţe Repub. Mold., Mat. 2010, No. 3(64), 94-106 (2010). Reviewer: Gabriela Cristescu (Arad) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Bul. Acad. Științe Repub. Mold., Mat. 2010, No. 3(64), 94--106 (2010; Zbl 1219.52005) Full Text: Link
Soltan, Valeriu Convex sets with homothetic projections. (English) Zbl 1200.52005 Beitr. Algebra Geom. 51, No. 1, 237-249 (2010). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Beitr. Algebra Geom. 51, No. 1, 237--249 (2010; Zbl 1200.52005) Full Text: arXiv EuDML EMIS
Soltan, V. Convex quadric surfaces. arXiv:1005.5090 Preprint, arXiv:1005.5090 [math.MG] (2010). MSC: 52A20 BibTeX Cite \textit{V. Soltan}, ``Convex quadric surfaces'', Preprint, arXiv:1005.5090 [math.MG] (2010) Full Text: arXiv OA License
Soltan, V. Convex solids with planar homothetic sections through given points. (English) Zbl 1180.52010 J. Convex Anal. 16, No. 2, 473-486 (2009). Reviewer: Alexey Alimov (Moskva) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, J. Convex Anal. 16, No. 2, 473--486 (2009; Zbl 1180.52010) Full Text: Link
Lawrence, Jim; Soltan, Valeriu The intersection of convex transversals is a convex polytope. (English) Zbl 1162.52001 Beitr. Algebra Geom. 50, No. 1, 283-294 (2009). Reviewer: Mikhail Ostrovskii (Queens) MSC: 52A20 PDFBibTeX XMLCite \textit{J. Lawrence} and \textit{V. Soltan}, Beitr. Algebra Geom. 50, No. 1, 283--294 (2009; Zbl 1162.52001) Full Text: EuDML EMIS
Soltan, Valeriu Convex solids with planar midsurfaces. (English) Zbl 1136.52003 Proc. Am. Math. Soc. 136, No. 3, 1071-1081 (2008). Reviewer: Anatoliy Milka (Kharkov) MSC: 52A20 52A30 PDFBibTeX XMLCite \textit{V. Soltan}, Proc. Am. Math. Soc. 136, No. 3, 1071--1081 (2008; Zbl 1136.52003) Full Text: DOI
Soltan, Valeriu Line-free convex bodies with centrally symmetric intersections of translates. (English) Zbl 1113.52016 Rev. Roum. Math. Pures Appl. 51, No. 1, 111-123 (2006). Reviewer: Micea Balaj (Oradea) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Rev. Roum. Math. Pures Appl. 51, No. 1, 111--123 (2006; Zbl 1113.52016)
Soltan, Valeriu Addition and subtraction of homothety classes of convex sets. (English) Zbl 1118.52008 Beitr. Algebra Geom. 47, No. 2, 351-361 (2006). Reviewer: Serguey M. Pokas (Odessa) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Beitr. Algebra Geom. 47, No. 2, 351--361 (2006; Zbl 1118.52008) Full Text: EuDML EMIS
Soltan, Valeriu Isothetic parallelotopes and the binary intersections property. (English) Zbl 1121.52017 Acta Sci. Math. 72, No. 1-2, 373-385 (2006). Reviewer: Mircea Balaj (Oradea) MSC: 52A35 52A15 PDFBibTeX XMLCite \textit{V. Soltan}, Acta Sci. Math. 72, No. 1--2, 373--385 (2006; Zbl 1121.52017)
Soltan, Valeriu Sections and projections of homothetic convex bodies. (English) Zbl 1092.52003 J. Geom. 84, No. 1-2, 152-163 (2005). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, J. Geom. 84, No. 1--2, 152--163 (2005; Zbl 1092.52003) Full Text: DOI
Soltan, Valeriu Pairs of convex bodies with centrally symmetric intersections of translates. (English) Zbl 1081.52003 Discrete Comput. Geom. 33, No. 4, 605-616 (2005). Reviewer: Martin Henk (Magdeburg) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Discrete Comput. Geom. 33, No. 4, 605--616 (2005; Zbl 1081.52003) Full Text: DOI
Soltan, V. Affine diameters of convex bodies – a survey. (English) Zbl 1076.52001 Expo. Math. 23, No. 1, 47-63 (2005). Reviewer: Carla Peri (Milano-Largo) MSC: 52A20 52A37 52B11 PDFBibTeX XMLCite \textit{V. Soltan}, Expo. Math. 23, No. 1, 47--63 (2005; Zbl 1076.52001) Full Text: DOI
Martini, H.; Soltan, V. Antipodality properties of finite sets in Euclidean space. (English) Zbl 1066.52010 Discrete Math. 290, No. 2-3, 221-228 (2005). MSC: 52A37 PDFBibTeX XMLCite \textit{H. Martini} and \textit{V. Soltan}, Discrete Math. 290, No. 2--3, 221--228 (2005; Zbl 1066.52010) Full Text: DOI
Soltan, V. Choquet simplexes in finite dimension – a survey. (English) Zbl 1080.52004 Expo. Math. 22, No. 4, 301-315 (2004). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A20 52B11 PDFBibTeX XMLCite \textit{V. Soltan}, Expo. Math. 22, No. 4, 301--315 (2004; Zbl 1080.52004) Full Text: DOI
Martini, H.; Soltan, V. A theorem on affine diameters of convex polytopes. (English) Zbl 1049.52003 Acta Sci. Math. 69, No. 1-2, 431-440 (2003). Reviewer: József Szilasi (Debrecen) MSC: 52A20 52B11 PDFBibTeX XMLCite \textit{H. Martini} and \textit{V. Soltan}, Acta Sci. Math. 69, No. 1--2, 431--440 (2003; Zbl 1049.52003)
Soltan, Valeriu The characteristic intersection property of line-free Choquet simplices in \(E^d\). (English) Zbl 1035.52002 Discrete Comput. Geom. 29, No. 4, 561-573 (2003). Reviewer: Carla Peri (Milano-Largo) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Discrete Comput. Geom. 29, No. 4, 561--573 (2003; Zbl 1035.52002) Full Text: DOI
Morris, W.; Soltan, V. The Erdős-Szekeres problem on points in convex position – a survey. (English) Zbl 0958.52018 Bull. Am. Math. Soc., New Ser. 37, No. 4, 437-458 (2000). MSC: 52C10 52-02 PDFBibTeX XMLCite \textit{W. Morris} and \textit{V. Soltan}, Bull. Am. Math. Soc., New Ser. 37, No. 4, 437--458 (2000; Zbl 0958.52018) Full Text: DOI
Martini, H.; Soltan, V. Primitive inner illuminating systems for convex bodies. (English) Zbl 0970.52007 Geom. Dedicata 80, No. 1-3, 81-97 (2000). Reviewer: Boris Dekster (Sackville) MSC: 52A37 52A30 52A40 PDFBibTeX XMLCite \textit{H. Martini} and \textit{V. Soltan}, Geom. Dedicata 80, No. 1--3, 81--97 (2000; Zbl 0970.52007) Full Text: DOI
Martini, H.; Soltan, V. Minimum number of pieces in a convex partition of a polygonal domain. (English) Zbl 1074.52503 Int. J. Comput. Geom. Appl. 9, No. 6, 599-614 (1999). MSC: 52B45 52B55 65D18 68U05 PDFBibTeX XMLCite \textit{H. Martini} and \textit{V. Soltan}, Int. J. Comput. Geom. Appl. 9, No. 6, 599--614 (1999; Zbl 1074.52503) Full Text: DOI
Revenko, Sorin; Soltan, Valeriu Helly-type theorems on common supporting lines for nonoverlapping families of convex bodies in the plane. (English) Zbl 0958.52010 Geom. Dedicata 77, No. 3, 225-237 (1999). Reviewer: Robert Dawson (Halifax) MSC: 52A35 52A10 PDFBibTeX XMLCite \textit{S. Revenko} and \textit{V. Soltan}, Geom. Dedicata 77, No. 3, 225--237 (1999; Zbl 0958.52010) Full Text: DOI
Boltyanski, V.; Martini, H.; Soltan, V. On Grünbaum’s conjecture about inner illumination of convex bodies. (English) Zbl 0940.52004 Discrete Comput. Geom. 22, No. 3, 403-410 (1999). Reviewer: Mihai Cipu (Bucureşti) MSC: 52A30 52C07 52B11 PDFBibTeX XMLCite \textit{V. Boltyanski} et al., Discrete Comput. Geom. 22, No. 3, 403--410 (1999; Zbl 0940.52004) Full Text: DOI
Soltan, V. A characterization of homothetic simplices. (English) Zbl 0952.52003 Discrete Comput. Geom. 22, No. 2, 193-200 (1999). Reviewer: Serguey M.Pokas (Odessa) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Discrete Comput. Geom. 22, No. 2, 193--200 (1999; Zbl 0952.52003) Full Text: DOI
Martini, H.; Soltan, V. A characterization of simplices in terms of visibility. (English) Zbl 0941.52004 Arch. Math. 72, No. 6, 461-465 (1999). Reviewer: Daniel Hug (Freiburg) MSC: 52A20 52A37 52A30 PDFBibTeX XMLCite \textit{H. Martini} and \textit{V. Soltan}, Arch. Math. 72, No. 6, 461--465 (1999; Zbl 0941.52004) Full Text: DOI
Martini, Horst; Soltan, Valeriu Combinatorial problems on the illumination of convex bodies. (English) Zbl 0937.52006 Aequationes Math. 57, No. 2-3, 121-152 (1999). Reviewer: Marek Lassak (Berlin) MSC: 52A37 52A40 52-02 PDFBibTeX XMLCite \textit{H. Martini} and \textit{V. Soltan}, Aequationes Math. 57, No. 2--3, 121--152 (1999; Zbl 0937.52006) Full Text: DOI
Boltyanski, V.; Martini, H.; Soltan, V. Geometric methods and optimization problems. (English) Zbl 0933.90002 Combinatorial Optimization. 4. Dordrecht: Kluwer Academic Publishers. viii, 429 p. (1999). Reviewer: H.Benker (Merseburg) MSC: 90-02 49-02 90B80 90C25 51N05 PDFBibTeX XMLCite \textit{V. Boltyanski} et al., Geometric methods and optimization problems. Dordrecht: Kluwer Academic Publishers (1999; Zbl 0933.90002)
Lingas, A.; Soltan, V. Minimum convex partition of a polygon with holes by cuts in given directions. (English) Zbl 0910.68221 Theory Comput. Syst. 31, No. 5, 507-538 (1998). MSC: 68U05 52B55 PDFBibTeX XMLCite \textit{A. Lingas} and \textit{V. Soltan}, Theory Comput. Syst. 31, No. 5, 507--538 (1998; Zbl 0910.68221) Full Text: DOI
Revenko, Sorin M.; Soltan, V. Common supporting lines for families of convex bodies in the plane. (English) Zbl 0935.52002 Gen. Math. 5, 371-375 (1997). MSC: 52A10 PDFBibTeX XMLCite \textit{S. M. Revenko} and \textit{V. Soltan}, Gen. Math. 5, 371--375 (1997; Zbl 0935.52002) Full Text: EuDML
Soltan, Valeriu; Szabó, László; Vásárhelyi, Éva Primitive illumination systems for families of convex bodies in the plane. (English) Zbl 0888.52004 Geom. Dedicata 66, No. 2, 125-145 (1997). Reviewer: S.Vassallo (Milano) MSC: 52A10 52A30 PDFBibTeX XMLCite \textit{V. Soltan} et al., Geom. Dedicata 66, No. 2, 125--145 (1997; Zbl 0888.52004) Full Text: DOI
Böröczky, K.; Soltan, V. Translational and homothetic clouds for a convex body. (English) Zbl 0861.52006 Stud. Sci. Math. Hung. 32, No. 1-2, 93-102 (1996). Reviewer: M.Lassak (Bydgoszcz) MSC: 52A37 PDFBibTeX XMLCite \textit{K. Böröczky} and \textit{V. Soltan}, Stud. Sci. Math. Hung. 32, No. 1--2, 93--102 (1996; Zbl 0861.52006)
Soltan, V. On Grünbaum’s problem about inner illumination of convex bodies. (English) Zbl 0861.52001 Acta Math. Hung. 69, No. 1-2, 15-25 (1995). Reviewer: G.Ewald (Bochum) MSC: 52A15 52A30 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Acta Math. Hung. 69, No. 1--2, 15--25 (1995; Zbl 0861.52001) Full Text: DOI
Soltan, Valeriu Convex bodies with polyhedral midhypersurfaces. (English) Zbl 0832.52001 Arch. Math. 65, No. 4, 336-341 (1995). Reviewer: V.P.Soltan (Kishinev) MSC: 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Arch. Math. 65, No. 4, 336--341 (1995; Zbl 0832.52001) Full Text: DOI
Soltan, V. On antipodal and adjoint pairs of points for two convex bodies. (English) Zbl 0841.52002 Discrete Comput. Geom. 13, No. 3-4, 629-636 (1995). Reviewer: B.Kind (Bochum) MSC: 52A20 52B11 PDFBibTeX XMLCite \textit{V. Soltan}, Discrete Comput. Geom. 13, No. 3--4, 629--636 (1995; Zbl 0841.52002) Full Text: DOI EuDML
Jacob, Maria-Eugenia; Soltan, Valeriu On geodetic characteristic of networks. (English) Zbl 0822.05027 Stud. Cercet. Mat. 46, No. 5, 521-527 (1994). Reviewer: J.Rosický (Brno) MSC: 05C12 54E99 PDFBibTeX XMLCite \textit{M.-E. Jacob} and \textit{V. Soltan}, Stud. Cercet. Mat. 46, No. 5, 521--527 (1994; Zbl 0822.05027)
Makai, E. jun.; Soltan, V. Lower bounds on the numbers of shadow-boundaries and illuminated regions of a convex body. (English) Zbl 0822.52006 Böröczky, K. (ed.) et al., Intuitive geometry. Proceedings of the 3rd international conference held in Szeged, Hungary, from 2 to 7 September, 1991. Amsterdam: North-Holland. Colloq. Math. Soc. János Bolyai. 63, 249-268 (1994). Reviewer: R.Dawson (Halifax) MSC: 52A37 52A40 PDFBibTeX XMLCite \textit{E. Makai jun.} and \textit{V. Soltan}, in: Intuitive geometry. Proceedings of the 3rd international conference held in Szeged, Hungary, from 2 to 7 September, 1991. Amsterdam: North-Holland; Budapest: János Bolyai Mathemtical Society. 249--268 (1994; Zbl 0822.52006)
Soltan, V. An illumination problem. (English) Zbl 0815.52007 Stud. Sci. Math. Hung. 29, No. 1-2, 25-32 (1994). Reviewer: M.Lassak (Bydgoszcz) MSC: 52A37 52A20 PDFBibTeX XMLCite \textit{V. Soltan}, Stud. Sci. Math. Hung. 29, No. 1--2, 25--32 (1994; Zbl 0815.52007)
Bisztriczky, T.; Soltan, V. Some Erdős-Szekeres type results about points in space. (English) Zbl 0811.52005 Monatsh. Math. 118, No. 1-2, 33-40 (1994). Reviewer: H.Brönnimann (Palaiseau) MSC: 52B11 52C10 05C55 PDFBibTeX XMLCite \textit{T. Bisztriczky} and \textit{V. Soltan}, Monatsh. Math. 118, No. 1--2, 33--40 (1994; Zbl 0811.52005) Full Text: DOI EuDML
Nguyên, Mahn Hung; Soltan, Valeriu Lower bounds for the numbers of antipodal pairs and strictly antipodal pairs of vertices in a convex polytope. (English) Zbl 0799.52003 Discrete Comput. Geom. 11, No. 2, 149-162 (1994). Reviewer: J.Böhm (Jena) MSC: 52A20 PDFBibTeX XMLCite \textit{M. H. Nguyên} and \textit{V. Soltan}, Discrete Comput. Geom. 11, No. 2, 149--162 (1994; Zbl 0799.52003) Full Text: DOI EuDML
Soltan, V. External illumination according to L. Fejes Tóth. (English) Zbl 0817.52013 Stud. Sci. Math. Hung. 28, No. 3-4, 473-483 (1993). Reviewer: F.J.Schnitzer (Leoben) MSC: 52A40 52A30 PDFBibTeX XMLCite \textit{V. Soltan}, Stud. Sci. Math. Hung. 28, No. 3--4, 473--483 (1993; Zbl 0817.52013)
Soltan, V. P.; Nguen, M. H. Lower bounds for the number of extremal and exposed diameters of a convex body. (English) Zbl 0790.52001 Stud. Sci. Math. Hung. 28, No. 1-2, 99-104 (1993). MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{V. P. Soltan} and \textit{M. H. Nguen}, Stud. Sci. Math. Hung. 28, No. 1--2, 99--104 (1993; Zbl 0790.52001)
Sierksma, Gerard; Soltan, Valeriu; Zamfirescu, Tudor Invariance of convex sets under linear transformations. (English) Zbl 0777.52003 Linear Multilinear Algebra 35, No. 1, 37-47 (1993). Reviewer: L.A.Santaló (Buenos Aires) MSC: 52A07 52A20 PDFBibTeX XMLCite \textit{G. Sierksma} et al., Linear Multilinear Algebra 35, No. 1, 37--47 (1993; Zbl 0777.52003) Full Text: DOI
Soltan, Valeriu; Vásárhelyi, Éva Covering a convex body by smaller homothetic copies. (English) Zbl 0769.52003 Geom. Dedicata 45, No. 1, 101-113 (1993). Reviewer: W.W.Breckner (Cluj-Napoca) MSC: 52A20 52A10 PDFBibTeX XMLCite \textit{V. Soltan} and \textit{É. Vásárhelyi}, Geom. Dedicata 45, No. 1, 101--113 (1993; Zbl 0769.52003) Full Text: DOI
Sokirka, A. I.; Soltan, V. P. Joins and half-shadows of d-convex sets in triangulated graphs. (English) Zbl 0774.90086 Topological, projective and combinatorial properties of spaces, 69-88 (1992). Reviewer: E.Jucovic (Košice) MSC: 90C35 05C40 PDFBibTeX XMLCite \textit{A. I. Sokirka} and \textit{V. P. Soltan}, in: Topological, projective and combinatorial properties of spaces. Transl. from the Russian by Prem Kumar Dang. New York: Nova Science Publishers, Inc.. 69--88 (1992; Zbl 0774.90086)
Soltan, Valeriu Metric convexity in graphs. (English) Zbl 0882.52001 Stud. Univ. Babeș-Bolyai, Math. 36, No. 4, 3-43 (1991). MSC: 52A01 05C99 PDFBibTeX XMLCite \textit{V. Soltan}, Stud. Univ. Babeș-Bolyai, Math. 36, No. 4, 3--43 (1991; Zbl 0882.52001)
Soltan, V. P.; Nguyen Manh Hung Some notes about affine diameters of convex figures. (English) Zbl 0723.52001 Combinatorica 10, No. 3, 313-317 (1990). Reviewer: F. J. Schnitzer (Leoben) MSC: 52A10 52A30 52A40 PDFBibTeX XMLCite \textit{V. P. Soltan} and \textit{Nguyen Manh Hung}, Combinatorica 10, No. 3, 313--317 (1990; Zbl 0723.52001) Full Text: DOI
Martini, Horst; Nguen Man Hung; Soltan, Valeriu P. On Eggleston’s theorem about affine diameters. (English) Zbl 0686.52003 Mathematika 37, No. 1, 81-84 (1990). Reviewer: H.Martini MSC: 52A20 52Bxx PDFBibTeX XMLCite \textit{H. Martini} et al., Mathematika 37, No. 1, 81--84 (1990; Zbl 0686.52003) Full Text: DOI
Sokirka, A. I.; Soltan, V. P. \(d\)-convex functions on graphs. (Russian) Zbl 0799.05066 Pecherskij, Yu. N. (ed.), Mathematical modelling and optimization. Collection of scientific works. Kishinev: Shtiintsa. Mat. Issled. 110, 93-106 (1989). MSC: 05C99 52A41 26B25 54E35 PDFBibTeX XMLCite \textit{A. I. Sokirka} and \textit{V. P. Soltan}, in: Matematicheskoe modelirovanie i optimizatsiya. Sbornik nauchnykh trudov. Kishinev: Shtiintsa. 93--106 (1989; Zbl 0799.05066)
Soltan, V. P. Simplicial vertices and an analog of the Krejn-Mil’man theorem for graphs. (Russian) Zbl 0745.05063 Metody Diskretn. Anal. 48, 73-84 (1989). MSC: 05C99 52A40 PDFBibTeX XMLCite \textit{V. P. Soltan}, Metody Diskretn. Anal. 48, 73--84 (1989; Zbl 0745.05063)
Soltan, V. P.; Nguyen, Manh Chung On Grünbaum’s problem on affine diameters. (Russian. English summary) Zbl 0674.52002 Soobshch. Akad. Nauk Gruz. SSR 132, No. 1, 33-35 (1988). Reviewer: J.E.Pečarić MSC: 52A20 51D20 PDFBibTeX XMLCite \textit{V. P. Soltan} and \textit{M. C. Nguyen}, Soobshch. Akad. Nauk Gruz. SSR 132, No. 1, 33--35 (1988; Zbl 0674.52002)
Soltan, V. P. The covering of a three-dimensional unbounded convex body by larger homothetic ones. (Russian) Zbl 0667.52012 Mat. Issled. 103, 164-173 (1988). Reviewer: E.Jucovič MSC: 52C17 52A40 52A10 52A15 PDFBibTeX XMLCite \textit{V. P. Soltan}, Mat. Issled. 103, 164--173 (1988; Zbl 0667.52012) Full Text: EuDML
Soltan, V. P. Some properties of d-convex functions. II. (English) Zbl 0608.52002 Transl., Ser. 2, Am. Math. Soc. 134, 45-51 (1987). MSC: 52A05 52A01 26B25 46B20 PDFBibTeX XMLCite \textit{V. P. Soltan}, Transl., Ser. 2, Am. Math. Soc. 134, 45--51 (1987; Zbl 0608.52002) Full Text: DOI
Soltan, V. P. Some properties of d-convex functions. I. (English) Zbl 0608.52001 Transl., Ser. 2, Am. Math. Soc. 134, 39-44 (1987). MSC: 52A01 52A05 26B25 46B20 PDFBibTeX XMLCite \textit{V. P. Soltan}, Transl., Ser. 2, Am. Math. Soc. 134, 39--44 (1987; Zbl 0608.52001) Full Text: DOI
Soltan, P. S.; Soltan, V. P. On the X-raying of convex bodies. (English. Russian original) Zbl 0632.52004 Sov. Math., Dokl. 33, 42-44 (1986); translation from Dokl. Akad. Nauk SSSR 286, 50-53 (1986). Reviewer: J.Durdil MSC: 52A20 52Bxx 52A15 PDFBibTeX XMLCite \textit{P. S. Soltan} and \textit{V. P. Soltan}, Sov. Math., Dokl. 33, 42--44 (1986; Zbl 0632.52004); translation from Dokl. Akad. Nauk SSSR 286, 50--53 (1986)
Lebedeva, T. T.; Sergienko, I. V.; Soltan, V. P. On conditions for the coincidence of a local minimum and the global minimum in discrete optimization problems. (English. Russian original) Zbl 0591.52002 Sov. Math., Dokl. 32, 78-81 (1985); translation from Dokl. Akad. Nauk SSSR 283, 287-290 (1985). Reviewer: W.Breckner MSC: 52A01 26B25 90C48 PDFBibTeX XMLCite \textit{T. T. Lebedeva} et al., Sov. Math., Dokl. 32, 78--81 (1985; Zbl 0591.52002); translation from Dokl. Akad. Nauk SSSR 283, 287--290 (1985)
Soltan, V. P.; Chepoj, V. D. d-convexity and Steiner functions on graphs. (Russian) Zbl 0567.05050 Dokl. Akad. Nauk BSSR 29, 407-408 (1985). Reviewer: I.Maruşciac MSC: 05C99 52A01 52A99 PDFBibTeX XMLCite \textit{V. P. Soltan} and \textit{V. D. Chepoj}, Dokl. Akad. Nauk BSSR 29, 407--408 (1985; Zbl 0567.05050)
Soltan, V. P. Partition of a plane set into a finite number of d-convex parts. (English. Russian original) Zbl 0576.52008 Cybernetics 20, 855-860 (1984); translation from Kibernetika 1984, No. 6, 70-74 (1984). Reviewer: Dorin Andrica MSC: 52C17 52A10 52A01 PDFBibTeX XMLCite \textit{V. P. Soltan}, Cybernetics 20, 855--860 (1984; Zbl 0576.52008); translation from Kibernetika 1984, No. 6, 70--74 (1984) Full Text: DOI
Lebedeva, T. T.; Sergienko, I. V.; Soltan, V. P. Conditions for the coincidence of local and global extrema in problems of discrete optimization. (English. Russian original) Zbl 0563.90088 Cybernetics 20, 687-697 (1984); translation from Kibernetika 1984, No. 5, 58-65 (1984). MSC: 90C30 49M37 26B25 90C25 90C55 PDFBibTeX XMLCite \textit{T. T. Lebedeva} et al., Cybernetics 20, 687--697 (1984; Zbl 0563.90088); translation from Kibernetika 1984, No. 5, 58--65 (1984)
Soltan, V. P. Introduction to axiomatic convexity theory. (Vvedenie v aksiomaticheskuyu teoriyu vypuklosti). (Russian. English, French summaries) Zbl 0559.52001 Kishinev: ”Shtiintsa”. 224 p. R. 2.30 (1984). Reviewer: I.Vermes MSC: 52A01 32F10 46A03 46A55 PDFBibTeX XML
Soltan, V. P.; Chepoj, V. D. d-convex sets in triangular graphs. (Russian) Zbl 0556.05024 Mat. Issled. 78, 105-124 (1984). Reviewer: M.Demlova MSC: 05C10 05C38 PDFBibTeX XMLCite \textit{V. P. Soltan} and \textit{V. D. Chepoj}, Mat. Issled. 78, 105--124 (1984; Zbl 0556.05024)
Soltan, V. P.; Chepoj, V. D. The number of d-convex sets in a graph. (Russian) Zbl 0544.05060 Izv. Akad. Nauk Mold. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1984, No. 2, 19-23 (1984). Reviewer: J.Širáň MSC: 05C99 05C35 05C38 PDFBibTeX XMLCite \textit{V. P. Soltan} and \textit{V. D. Chepoj}, Izv. Akad. Nauk Mold. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1984, No. 2, 19--23 (1984; Zbl 0544.05060)
Soltan, V. P. d-convexity in graphs. (English. Russian original) Zbl 0553.05060 Sov. Math., Dokl. 28, 419-421 (1983); translation from Dokl. Akad. Nauk SSSR 272, No. 3, 535-537 (1983). Reviewer: J.Rosicky MSC: 05C99 52A01 PDFBibTeX XMLCite \textit{V. P. Soltan}, Sov. Math., Dokl. 28, 419--421 (1983; Zbl 0553.05060); translation from Dokl. Akad. Nauk SSSR 272, No. 3, 535--537 (1983)
Soltan, V. P.; Chepoj, V. D. Some classes of d-convex functions in a graph. (English. Russian original) Zbl 0549.05057 Sov. Math., Dokl. 28, 793-796 (1983); translation from Dokl. Akad. Nauk SSSR 273, 1314-1317 (1983). Reviewer: B.Zelinka MSC: 05C99 26A51 52A99 PDFBibTeX XMLCite \textit{V. P. Soltan} and \textit{V. D. Chepoj}, Sov. Math., Dokl. 28, 793--796 (1983; Zbl 0549.05057); translation from Dokl. Akad. Nauk SSSR 273, 1314--1317 (1983)
Soltan, V. P. Elements of convex programming in axiomatic convexity theory. (English. Russian original) Zbl 0521.90083 Sov. Math., Dokl. 26, 431-433 (1982); translation from Dokl. Akad. Nauk SSSR 266, 800-802 (1982). MSC: 90C25 90C55 52A07 PDFBibTeX XMLCite \textit{V. P. Soltan}, Sov. Math., Dokl. 26, 431--433 (1982; Zbl 0521.90083); translation from Dokl. Akad. Nauk SSSR 266, 800--802 (1982)
Soltan, V. P. General properties of H-convex sets. (Russian) Zbl 0502.52007 Mat. Issled. 67, 149-164 (1982). MSC: 52A20 52A01 PDFBibTeX XMLCite \textit{V. P. Soltan}, Mat. Issled. 67, 149--164 (1982; Zbl 0502.52007) Full Text: EuDML
Prisakaru, K. F.; Soltan, V. P.; Soltan, P. S. On the d-convexity of Lame function on a graph. (Russian) Zbl 0499.05036 Mat. Issled. 66, 136 (1982). MSC: 05C38 05C35 05C99 PDFBibTeX XMLCite \textit{K. F. Prisakaru} et al., Mat. Issled. 66, 136 (1982; Zbl 0499.05036) Full Text: EuDML
Soltan, V. P. Some questions in the axiomatic theory of convex sets. (English. Russian original) Zbl 0495.52003 Sov. Math., Dokl. 25, 244-248 (1982); translation from Dokl. Akad. Nauk SSSR 262, 1321-1325 (1982). MSC: 52A01 52A07 06A99 46A55 PDFBibTeX XMLCite \textit{V. P. Soltan}, Sov. Math., Dokl. 25, 244--248 (1982; Zbl 0495.52003); translation from Dokl. Akad. Nauk SSSR 262, 1321--1325 (1982)
Soltan, V. P. On an extension of the concept of H-convexity. (English. Russian original) Zbl 0506.52002 Sov. Math., Dokl. 23, 641-644 (1981); translation from Dokl. Akad. Nauk SSSR 258, 1059-1062 (1981). MSC: 52A20 52A30 PDFBibTeX XMLCite \textit{V. P. Soltan}, Sov. Math., Dokl. 23, 641--644 (1981; Zbl 0506.52002); translation from Dokl. Akad. Nauk SSSR 258, 1059--1062 (1981)
Soltan, V. P. Quasiconvex functions. (Russian) Zbl 0505.26003 Izv. Akad. Nauk Mold. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1981, No. 3, 5-10 (1981). MSC: 26A51 52A01 PDFBibTeX XMLCite \textit{V. P. Soltan}, Izv. Akad. Nauk Mold. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1981, No. 3, 5--10 (1981; Zbl 0505.26003)
Soltan, V. P. Some properties of d-convex functions. II. (Russian) Zbl 0484.52001 Izv. Akad. Nauk Mold. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1981, No. 1, 21-26 (1981). MSC: 52A05 52A01 26B25 46B20 PDFBibTeX XMLCite \textit{V. P. Soltan}, Izv. Akad. Nauk Mold. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1981, No. 1, 21--26 (1981; Zbl 0484.52001)
German, L. F.; Soltan, V. P. The quasi-convexity in linear and metric space. (Russian) Zbl 0477.52001 Investigations in functional analysis and differential equations, Math. Sci., Interuniv. Work Collect., Kishinev 1981, 19-24 (1981). MSC: 52A01 PDFBibTeX XML
Soltan, V. P. Substitution numbers and Caratheodory numbers of Cartesian product of convexity structures. (Russian) Zbl 0473.52002 Ukr. Geom. Sb. 24, 104-108 (1981). MSC: 52A01 52A20 PDFBibTeX XMLCite \textit{V. P. Soltan}, Ukr. Geom. Sb. 24, 104--108 (1981; Zbl 0473.52002)
Soltan, V. P. Convexity in a partially ordered set. (Russian) Zbl 0462.06003 Mat. Issled. 62, 141-147 (1981). MSC: 06A06 05A15 PDFBibTeX XMLCite \textit{V. P. Soltan}, Mat. Issled. 62, 141--147 (1981; Zbl 0462.06003) Full Text: EuDML
Soltan, V. P. On metrically extremal and boundary points. (Russian) Zbl 0486.52001 Modern geometry, Interuniv. Collect. sci. Works, Leningrad 1980, 64-73 (1980). MSC: 52A05 52A07 46A55 PDFBibTeX XML