Edit Profile (opens in new tab) Henk, Martin Co-Author Distance Author ID: henk.martin Published as: Henk, Martin; Henk, M. External Links: MGP Documents Indexed: 118 Publications since 1990, including 2 Books and 5 Additional arXiv Preprints 7 Contributions as Editor Reviewing Activity: 79 Reviews Co-Authors: 57 Co-Authors with 96 Joint Publications 1,334 Co-Co-Authors all top 5 Co-Authors 29 single-authored 14 Aliev, Iskander M. 12 Betke, Ulrich 11 Wills, Jörg M. 7 Hernández Cifre, María A. 7 Weismantel, Robert 6 Dais, Dimitrios I. 5 Böröczky, Karoly jun. 5 Linke, Eva 5 Ziegler, Günter Matthias 4 Celaya, Marcel 4 Ludwig, Monika 4 Schymura, Matthias 3 Freyer, Ansgar 3 Oertel, Timm 3 Pollehn, Hannes 2 Averkov, Gennadiy 2 Ball, Keith Martin 2 Barthe, Franck 2 Berg, Sören Lennart 2 Bey, Christian 2 Grötschel, Martin 2 Kuhlmann, Stefan 2 Matoušek, Jiří 2 Thiel, Carsten 2 Tsintsifas, George A. 2 Welzl, Emo 2 Xue, Fei 2 Zong, Chuanming 1 Alexander, Matthew 1 Alonso-Gutiérrez, David 1 Athanasiadis, Christos A. 1 Awyong, Poh Wah 1 Batyrev, Victor V. 1 Bockmayr, Alexander 1 Bosse, Hartwig 1 Bruns, Winfried 1 Eller, Katharina 1 Fukshansky, Lenny 1 Gärtner, Bernd 1 Gubeladze, Joseph 1 Haus, Utz-Uwe 1 Hinrichs, Aicke 1 Hogan, Mark J. 1 Kipp, Christian 1 Köppe, Matthias 1 Link, Eva 1 Martin, Alexander 1 Richter-Gebert, Jürgen 1 Santos, Francisco 1 Saorín, Eugenia 1 Schürmann, Achill 1 Scott, Paul R. 1 Tagami, Makoto 1 Tsintsifa, Lydia 1 Wieder, Frederik 1 Williams, Aled 1 Zvavitch, Artem all top 5 Serials 18 Electronic Geometry Model 9 Discrete & Computational Geometry 6 Advances in Mathematics 6 Oberwolfach Reports 5 Mathematika 5 Monatshefte für Mathematik 5 Mathematical Programming. Series A. Series B 3 Beiträge zur Algebra und Geometrie 3 SIAM Journal on Optimization 2 Canadian Mathematical Bulletin 2 Journal für die Reine und Angewandte Mathematik 2 Results in Mathematics 2 Combinatorica 2 SIAM Journal on Discrete Mathematics 2 Advances in Geometry 2 Moscow Journal of Combinatorics and Number Theory 1 Discrete Mathematics 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Arithmetica 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Geometriae Dedicata 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Geometry 1 Mathematics of Operations Research 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Acta Mathematica Hungarica 1 Advances in Mathematics (Beijing) 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Computational Geometry 1 Elemente der Mathematik 1 Linear Algebra and its Applications 1 ZOR. Zeitschrift für Operations Research 1 Experimental Mathematics 1 The Electronic Journal of Combinatorics 1 Documenta Mathematica 1 Journal of Combinatorial Optimization 1 Communications in Contemporary Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Contemporary Mathematics 1 Online Journal of Analytic Combinatorics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Fields 107 Convex and discrete geometry (52-XX) 52 Number theory (11-XX) 20 Operations research, mathematical programming (90-XX) 10 Computer science (68-XX) 7 General and overarching topics; collections (00-XX) 7 Algebraic geometry (14-XX) 5 Probability theory and stochastic processes (60-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 81 Publications have been cited 707 times in 471 Documents Cited by ▼ Year ▼ Subspace concentration of dual curvature measures of symmetric convex bodies. Zbl 1397.52005 Böröczky, Károly J.; Henk, Martin; Pollehn, Hannes 50 2018 Cone-volume measures of polytopes. Zbl 1308.52007 Henk, Martin; Linke, Eva 49 2014 Cone-volume measure of general centered convex bodies. Zbl 1334.52003 Böröczky, Károly J.; Henk, Martin 41 2016 Successive-minima-type inequalities. Zbl 0771.52007 Betke, U.; Henk, M.; Wills, J. M. 35 1993 Basic properties of convex polytopes. Zbl 0911.52007 Henk, Martin; Richter-Gebert, Jürgen; Ziegler, Günter M. 32 1997 Necessary subspace concentration conditions for the even dual Minkowski problem. Zbl 1383.52008 Henk, Martin; Pollehn, Hannes 30 2018 Notes on the roots of Ehrhart polynomials. Zbl 1126.52012 Bey, Christian; Henk, Martin; Wills, Jörg M. 22 2007 A counterexample to an integer analogue of Carathéodory’s theorem. Zbl 0938.52011 Bruns, Winfried; Gubeladze, Joseph; Henk, Martin; Martin, Alexander; Weismantel, Robert 20 1999 Ehrhart polynomials and successive minima. Zbl 1105.52011 Henk, Martin; Schürmann, Achill; Wills, Jörg M. 20 2005 Löwner-John ellipsoids. Zbl 1270.90106 Henk, Martin 18 2012 Densest lattice packings of 3-polytopes. Zbl 1133.52307 Betke, Ulrich; Henk, Martin 16 2000 Intrinsic volumes and lattice points of crosspolytopes. Zbl 0779.52013 Betke, Ulrich; Henk, Martin 16 1993 Random projections of regular polytopes. Zbl 0949.52001 Böröczky, Károly jun.; Henk, Martin 15 1999 Lower bounds on the coefficients of Ehrhart polynomials. Zbl 1158.52014 Henk, Martin; Tagami, Makoto 15 2009 On the existence of crepant resolutions of Gorenstein abelian quotient singularities in dimension \(\geq 4\). Zbl 1139.14015 Dais, Dimitrios I.; Henk, Martin; Ziegler, Günter M. 13 2006 Intrinsic volumes and successive radii. Zbl 1149.52008 Henk, Martin; Hernández Cifre, María A. 13 2008 Finite and infinite packings. Zbl 0797.52010 Betke, Ulrich; Henk, Martin; Wills, Jörg M. 13 1994 A generalization of Jung’s theorem. Zbl 0759.52008 Henk, M. 12 1992 Cone-volume measure and stability. Zbl 1366.52007 Böröczky, Károly J.; Henk, Martin 12 2017 Successive minima and lattice points. Zbl 1126.11034 Henk, Martin 11 2002 Estimating sizes of a convex body by successive diameters and widths. Zbl 0759.52006 Betke, U.; Henk, M. 11 1992 On the log-Minkowski inequality for simplices and parallelepipeds. Zbl 1413.52012 Henk, M.; Pollehn, H. 10 2018 Expected Frobenius numbers. Zbl 1237.11013 Aliev, Iskander; Henk, Martin; Hinrichs, Aicke 9 2011 Feasibility of integer knapsacks. Zbl 1211.90132 Aliev, Iskander; Henk, Martin 9 2010 Randomized simplex algorithms on Klee-Minty cubes. Zbl 0947.90066 Gärtner, Bernd; Henk, Martin; Ziegler, Günter M. 9 1998 A generalization of Steinhagen’s theorem. Zbl 0789.52005 Betke, U.; Henk, M. 9 1993 Steiner polynomials via ultra-logconcave sequences. Zbl 1262.52003 Henk, Martin; Cifre, María A. Hernández; Saorín, Eugenia 9 2012 Distances to lattice points in knapsack polyhedra. Zbl 1445.90059 Aliev, Iskander; Henk, Martin; Oertel, Timm 9 2020 On the location of roots of Steiner polynomials. Zbl 1230.52010 Henk, Martin; Hernández Cifre, María A. 8 2011 Integer knapsacks: average behavior of the Frobenius numbers. Zbl 1218.90116 Aliev, Iskander; Henk, Martin 8 2009 All abelian quotient C. I. -singularities admit projective crepant resolutions in all dimensions. Zbl 0930.14006 Dais, Dimitrios I.; Henk, Martin; Ziegler, Günter M. 8 1998 A discrete version of Koldobsky’s slicing inequality. Zbl 1388.52002 Alexander, Matthew; Henk, Martin; Zvavitch, Artem 8 2017 Sausages are good packings. Zbl 0829.52010 Betke, U.; Henk, M.; Wills, J. M. 7 1995 The height of minimal Hilbert bases. Zbl 0964.52015 Henk, Martin; Weismantel, Robert 7 1997 Inequalities between successive minima and intrinsic volumes of a convex body. Zbl 0717.52010 Henk, Martin 7 1990 A Blichfeldt-type inequality for the surface area. Zbl 1163.52002 Henk, Martin; Wills, Jörg M. 6 2008 Finite packings of spheres. Zbl 0897.52005 Betke, U.; Henk, M. 6 1998 Approximating the volume of convex bodies. Zbl 0772.68095 Betke, U.; Henk, M. 6 1993 Variations of Minkowski’s theorem on successive minima. Zbl 1335.52021 Henk, Martin; Henze, Matthias; Hernández Cifre, María A. 6 2016 Notes on the roots of Steiner polynomials. Zbl 1158.52003 Henk, Martin; Hernández Cifre, María A. 6 2008 Generalized Frobenius numbers: bounds and average behavior. Zbl 1297.11014 Aliev, Iskander; Fukshansky, Lenny; Henk, Martin 5 2012 On minimal solutions of Diophantine equations. Zbl 1011.11017 Henk, Martin; Weismantel, Robert 5 2000 On crepant resolutions of 2-parameter series of Gorenstein cyclic quotient singularities. Zbl 0924.14003 Dais, Dimitrios I.; Haus, Utz-Uwe; Henk, Martin 5 1998 A characterization of dual quermassintegrals and the roots of dual Steiner polynomials. Zbl 1393.52005 Alonso-Gutiérrez, David; Henk, Martin; Hernández Cifre, María A. 5 2018 Minkowski’s successive minima. Zbl 1234.11085 Henk, Martin; Wills, Jörg M. 4 2008 Successive minima and radii. Zbl 1179.52007 Henk, Martin; Hernández Cifre, María A. 4 2009 Polynomial inequalities representing polyhedra. Zbl 1140.90528 Bosse, Hartwig; Grötschel, Martin; Henk, Martin 4 2005 Some inequalities for planar convex figures. Zbl 0839.52006 Henk, Martin; Tsintsifas, George A. 4 1994 Restricted successive minima. Zbl 1314.11046 Henk, Martin; Thiel, Carsten 4 2014 Polynomial representations of polyhedra. (Polynomdarstellungen von Polyedern.) Zbl 1135.52004 Henk, Martin 3 2007 Representing simple \(d\)-dimensional polytopes by \(d\) polynomials. Zbl 1210.52007 Averkov, Gennadiy; Henk, Martin 3 2011 Three-dimensional polyhedra can be described by three polynomial inequalities. Zbl 1183.52009 Averkov, Gennadiy; Henk, Martin 3 2009 Integrality gaps of integer knapsack problems. Zbl 1418.90210 Aliev, Iskander; Henk, Martin; Oertel, Timm 3 2017 Diophantine approximations and integer points of cones. Zbl 1012.52022 Henk, Martin; Weismantel, Robert 3 2002 The representation of polyhedra by polynomial inequalities. Zbl 1128.14308 Grötschel, Martin; Henk, Martin 3 2003 LLL-reduction for integer knapsacks. Zbl 1282.90146 Aliev, Iskander; Henk, Martin 3 2012 Notes on lattice points of zonotopes and lattice-face polytopes. Zbl 1293.11098 Bey, Christian; Henk, Martin; Henze, Matthias; Linke, Eva 2 2011 Radii and the sausage conjecture. Zbl 0833.52004 Böröczky, Károly jun.; Henk, Martin 2 1995 A new approach to covering. Zbl 0835.52017 Betke, Ulrich; Henk, Martin; Wills, Jörg M. 2 1995 Finite and infinite packings. Zbl 0842.68083 Henk, Martin 2 1994 Ungleichungen für sukzessive Minima und verallgemeinerte In- und Umkugelradien. (Inequalities for successive minima and generalized in- and circumradii). Zbl 0734.52008 Henk, Martin 2 1991 Note on the coefficients of rational Ehrhart quasi-polynomials of Minkowski-sums. Zbl 1333.52016 Henk, Martin; Link, Eva 2 2015 Lattice point inequalities for centered convex bodies. Zbl 1343.11063 Berg, Sören Lennart; Henk, Martin 2 2016 Integral decomposition of polyhedra and some applications in mixed integer programming. Zbl 1030.90070 Henk, Martin; Köppe, Matthias; Weismantel, Robert 2 2003 On lattice width of lattice-free polyhedra and height of Hilbert bases. Zbl 1496.52015 Henk, Martin; Kuhlmann, Stefan; Weismantel, Robert 2 2022 Bounds on the lattice point enumerator via slices and projections. Zbl 1495.52016 Freyer, Ansgar; Henk, Martin 2 2022 Note on lattice-point-free convex bodies. Zbl 0910.52010 Awyong, Poh Wah; Henk, Martin; Scott, Paul R. 1 1998 Blichfeldt-type inequalities and central symmetry. Zbl 1230.52009 Henk, Martin; Henze, Matthias; Wills, Jörg M. 1 2011 A note on lattice packings via lattice refinements. Zbl 1388.52011 Henk, Martin 1 2018 Minimal zonotopes containing the crosspolytope. Zbl 1186.68501 Henk, Martin; Linke, Eva; Wills, Jörg M. 1 2010 Free planes in lattice sphere packings. Zbl 1072.52014 Henk, Martin 1 2005 Linear programming by minimizing distances. Zbl 0746.90033 Betke, U.; Henk, M. 1 1991 Inradii of simplices. Zbl 0879.52003 Betke, U.; Henk, M.; Tsintsifa, L. 1 1997 Note on shortest and nearest lattice vectors. Zbl 1336.68263 Henk, Martin 1 1997 On the equations defining toric l.c.i.-singularities. Zbl 1049.14037 Dais, Dimitrios I.; Henk, Martin 1 2003 On free planes in lattice ball packings. Zbl 1038.11041 Henk, Martin; Ziegler, Günter M.; Zong, Chuanming 1 2002 Segments in ball packings. Zbl 1012.52030 Henk, M.; Zong, C. 1 2000 Proximity bounds for random integer programs. Zbl 1483.90080 Celaya, Marcel; Henk, Martin 1 2021 Distance-sparsity transference for vertices of corner polyhedra. Zbl 1458.90475 Aliev, Iskander; Celaya, Marcel; Henk, Martin; Williams, Aled 1 2021 Lattice point coverings. Zbl 1482.52020 Henk, Martin; Tsintsifas, George A. 1 2007 On successive minima-type inequalities for the polar of a convex body. Zbl 1429.52009 Henk, Martin; Xue, Fei 1 2019 On lattice width of lattice-free polyhedra and height of Hilbert bases. Zbl 1496.52015 Henk, Martin; Kuhlmann, Stefan; Weismantel, Robert 2 2022 Bounds on the lattice point enumerator via slices and projections. Zbl 1495.52016 Freyer, Ansgar; Henk, Martin 2 2022 Proximity bounds for random integer programs. Zbl 1483.90080 Celaya, Marcel; Henk, Martin 1 2021 Distance-sparsity transference for vertices of corner polyhedra. Zbl 1458.90475 Aliev, Iskander; Celaya, Marcel; Henk, Martin; Williams, Aled 1 2021 Distances to lattice points in knapsack polyhedra. Zbl 1445.90059 Aliev, Iskander; Henk, Martin; Oertel, Timm 9 2020 On successive minima-type inequalities for the polar of a convex body. Zbl 1429.52009 Henk, Martin; Xue, Fei 1 2019 Subspace concentration of dual curvature measures of symmetric convex bodies. Zbl 1397.52005 Böröczky, Károly J.; Henk, Martin; Pollehn, Hannes 50 2018 Necessary subspace concentration conditions for the even dual Minkowski problem. Zbl 1383.52008 Henk, Martin; Pollehn, Hannes 30 2018 On the log-Minkowski inequality for simplices and parallelepipeds. Zbl 1413.52012 Henk, M.; Pollehn, H. 10 2018 A characterization of dual quermassintegrals and the roots of dual Steiner polynomials. Zbl 1393.52005 Alonso-Gutiérrez, David; Henk, Martin; Hernández Cifre, María A. 5 2018 A note on lattice packings via lattice refinements. Zbl 1388.52011 Henk, Martin 1 2018 Cone-volume measure and stability. Zbl 1366.52007 Böröczky, Károly J.; Henk, Martin 12 2017 A discrete version of Koldobsky’s slicing inequality. Zbl 1388.52002 Alexander, Matthew; Henk, Martin; Zvavitch, Artem 8 2017 Integrality gaps of integer knapsack problems. Zbl 1418.90210 Aliev, Iskander; Henk, Martin; Oertel, Timm 3 2017 Cone-volume measure of general centered convex bodies. Zbl 1334.52003 Böröczky, Károly J.; Henk, Martin 41 2016 Variations of Minkowski’s theorem on successive minima. Zbl 1335.52021 Henk, Martin; Henze, Matthias; Hernández Cifre, María A. 6 2016 Lattice point inequalities for centered convex bodies. Zbl 1343.11063 Berg, Sören Lennart; Henk, Martin 2 2016 Note on the coefficients of rational Ehrhart quasi-polynomials of Minkowski-sums. Zbl 1333.52016 Henk, Martin; Link, Eva 2 2015 Cone-volume measures of polytopes. Zbl 1308.52007 Henk, Martin; Linke, Eva 49 2014 Restricted successive minima. Zbl 1314.11046 Henk, Martin; Thiel, Carsten 4 2014 Löwner-John ellipsoids. Zbl 1270.90106 Henk, Martin 18 2012 Steiner polynomials via ultra-logconcave sequences. Zbl 1262.52003 Henk, Martin; Cifre, María A. Hernández; Saorín, Eugenia 9 2012 Generalized Frobenius numbers: bounds and average behavior. Zbl 1297.11014 Aliev, Iskander; Fukshansky, Lenny; Henk, Martin 5 2012 LLL-reduction for integer knapsacks. Zbl 1282.90146 Aliev, Iskander; Henk, Martin 3 2012 Expected Frobenius numbers. Zbl 1237.11013 Aliev, Iskander; Henk, Martin; Hinrichs, Aicke 9 2011 On the location of roots of Steiner polynomials. Zbl 1230.52010 Henk, Martin; Hernández Cifre, María A. 8 2011 Representing simple \(d\)-dimensional polytopes by \(d\) polynomials. Zbl 1210.52007 Averkov, Gennadiy; Henk, Martin 3 2011 Notes on lattice points of zonotopes and lattice-face polytopes. Zbl 1293.11098 Bey, Christian; Henk, Martin; Henze, Matthias; Linke, Eva 2 2011 Blichfeldt-type inequalities and central symmetry. Zbl 1230.52009 Henk, Martin; Henze, Matthias; Wills, Jörg M. 1 2011 Feasibility of integer knapsacks. Zbl 1211.90132 Aliev, Iskander; Henk, Martin 9 2010 Minimal zonotopes containing the crosspolytope. Zbl 1186.68501 Henk, Martin; Linke, Eva; Wills, Jörg M. 1 2010 Lower bounds on the coefficients of Ehrhart polynomials. Zbl 1158.52014 Henk, Martin; Tagami, Makoto 15 2009 Integer knapsacks: average behavior of the Frobenius numbers. Zbl 1218.90116 Aliev, Iskander; Henk, Martin 8 2009 Successive minima and radii. Zbl 1179.52007 Henk, Martin; Hernández Cifre, María A. 4 2009 Three-dimensional polyhedra can be described by three polynomial inequalities. Zbl 1183.52009 Averkov, Gennadiy; Henk, Martin 3 2009 Intrinsic volumes and successive radii. Zbl 1149.52008 Henk, Martin; Hernández Cifre, María A. 13 2008 A Blichfeldt-type inequality for the surface area. Zbl 1163.52002 Henk, Martin; Wills, Jörg M. 6 2008 Notes on the roots of Steiner polynomials. Zbl 1158.52003 Henk, Martin; Hernández Cifre, María A. 6 2008 Minkowski’s successive minima. Zbl 1234.11085 Henk, Martin; Wills, Jörg M. 4 2008 Notes on the roots of Ehrhart polynomials. Zbl 1126.52012 Bey, Christian; Henk, Martin; Wills, Jörg M. 22 2007 Polynomial representations of polyhedra. (Polynomdarstellungen von Polyedern.) Zbl 1135.52004 Henk, Martin 3 2007 Lattice point coverings. Zbl 1482.52020 Henk, Martin; Tsintsifas, George A. 1 2007 On the existence of crepant resolutions of Gorenstein abelian quotient singularities in dimension \(\geq 4\). Zbl 1139.14015 Dais, Dimitrios I.; Henk, Martin; Ziegler, Günter M. 13 2006 Ehrhart polynomials and successive minima. Zbl 1105.52011 Henk, Martin; Schürmann, Achill; Wills, Jörg M. 20 2005 Polynomial inequalities representing polyhedra. Zbl 1140.90528 Bosse, Hartwig; Grötschel, Martin; Henk, Martin 4 2005 Free planes in lattice sphere packings. Zbl 1072.52014 Henk, Martin 1 2005 The representation of polyhedra by polynomial inequalities. Zbl 1128.14308 Grötschel, Martin; Henk, Martin 3 2003 Integral decomposition of polyhedra and some applications in mixed integer programming. Zbl 1030.90070 Henk, Martin; Köppe, Matthias; Weismantel, Robert 2 2003 On the equations defining toric l.c.i.-singularities. Zbl 1049.14037 Dais, Dimitrios I.; Henk, Martin 1 2003 Successive minima and lattice points. Zbl 1126.11034 Henk, Martin 11 2002 Diophantine approximations and integer points of cones. Zbl 1012.52022 Henk, Martin; Weismantel, Robert 3 2002 On free planes in lattice ball packings. Zbl 1038.11041 Henk, Martin; Ziegler, Günter M.; Zong, Chuanming 1 2002 Densest lattice packings of 3-polytopes. Zbl 1133.52307 Betke, Ulrich; Henk, Martin 16 2000 On minimal solutions of Diophantine equations. Zbl 1011.11017 Henk, Martin; Weismantel, Robert 5 2000 Segments in ball packings. Zbl 1012.52030 Henk, M.; Zong, C. 1 2000 A counterexample to an integer analogue of Carathéodory’s theorem. Zbl 0938.52011 Bruns, Winfried; Gubeladze, Joseph; Henk, Martin; Martin, Alexander; Weismantel, Robert 20 1999 Random projections of regular polytopes. Zbl 0949.52001 Böröczky, Károly jun.; Henk, Martin 15 1999 Randomized simplex algorithms on Klee-Minty cubes. Zbl 0947.90066 Gärtner, Bernd; Henk, Martin; Ziegler, Günter M. 9 1998 All abelian quotient C. I. -singularities admit projective crepant resolutions in all dimensions. Zbl 0930.14006 Dais, Dimitrios I.; Henk, Martin; Ziegler, Günter M. 8 1998 Finite packings of spheres. Zbl 0897.52005 Betke, U.; Henk, M. 6 1998 On crepant resolutions of 2-parameter series of Gorenstein cyclic quotient singularities. Zbl 0924.14003 Dais, Dimitrios I.; Haus, Utz-Uwe; Henk, Martin 5 1998 Note on lattice-point-free convex bodies. Zbl 0910.52010 Awyong, Poh Wah; Henk, Martin; Scott, Paul R. 1 1998 Basic properties of convex polytopes. Zbl 0911.52007 Henk, Martin; Richter-Gebert, Jürgen; Ziegler, Günter M. 32 1997 The height of minimal Hilbert bases. Zbl 0964.52015 Henk, Martin; Weismantel, Robert 7 1997 Inradii of simplices. Zbl 0879.52003 Betke, U.; Henk, M.; Tsintsifa, L. 1 1997 Note on shortest and nearest lattice vectors. Zbl 1336.68263 Henk, Martin 1 1997 Sausages are good packings. Zbl 0829.52010 Betke, U.; Henk, M.; Wills, J. M. 7 1995 Radii and the sausage conjecture. Zbl 0833.52004 Böröczky, Károly jun.; Henk, Martin 2 1995 A new approach to covering. Zbl 0835.52017 Betke, Ulrich; Henk, Martin; Wills, Jörg M. 2 1995 Finite and infinite packings. Zbl 0797.52010 Betke, Ulrich; Henk, Martin; Wills, Jörg M. 13 1994 Some inequalities for planar convex figures. Zbl 0839.52006 Henk, Martin; Tsintsifas, George A. 4 1994 Finite and infinite packings. Zbl 0842.68083 Henk, Martin 2 1994 Successive-minima-type inequalities. Zbl 0771.52007 Betke, U.; Henk, M.; Wills, J. M. 35 1993 Intrinsic volumes and lattice points of crosspolytopes. Zbl 0779.52013 Betke, Ulrich; Henk, Martin 16 1993 A generalization of Steinhagen’s theorem. Zbl 0789.52005 Betke, U.; Henk, M. 9 1993 Approximating the volume of convex bodies. Zbl 0772.68095 Betke, U.; Henk, M. 6 1993 A generalization of Jung’s theorem. Zbl 0759.52008 Henk, M. 12 1992 Estimating sizes of a convex body by successive diameters and widths. Zbl 0759.52006 Betke, U.; Henk, M. 11 1992 Ungleichungen für sukzessive Minima und verallgemeinerte In- und Umkugelradien. (Inequalities for successive minima and generalized in- and circumradii). Zbl 0734.52008 Henk, Martin 2 1991 Linear programming by minimizing distances. Zbl 0746.90033 Betke, U.; Henk, M. 1 1991 Inequalities between successive minima and intrinsic volumes of a convex body. Zbl 0717.52010 Henk, Martin 7 1990 all cited Publications top 5 cited Publications all top 5 Cited by 560 Authors 50 Henk, Martin 17 Böröczky, Karoly jun. 17 Hernández Cifre, María A. 13 Schymura, Matthias 12 Xiong, Ge 11 Higashitani, Akihiro 10 Aliev, Iskander M. 9 Wills, Jörg M. 8 González Merino, Bernardo 8 Weismantel, Robert 7 Averkov, Gennadiy 7 Li, Qirui 7 Yepes Nicolás, Jesús 7 Zhao, Changjian 6 Betke, Ulrich 6 Bezdek, Károly 6 Chen, Shibing 6 Kabluchko, Zakhar A. 6 Oertel, Timm 6 Wang, Hejun 6 Ye, Deping 6 Zhu, Guangxian 5 Dais, Dimitrios I. 5 De Loera, Jesús A. 5 Garaev, Moubariz Z. 5 Gubeladze, Joseph 5 Lángi, Zsolt 5 Shparlinski, Igor E. 5 Thäle, Christoph 5 Wu, Di 5 Xi, Dongmeng 5 Yang, Yunlong 5 Zhao, Yiming 5 Zhou, Jiazu 5 Zong, Chuanming 4 Alonso-Gutiérrez, David 4 Celaya, Marcel 4 Fukshansky, Lenny 4 Huang, Yong 4 Hug, Daniel 4 Linke, Eva 4 Lu, Jian 4 Nill, Benjamin 4 O’Neill, Christopher 4 Paat, Joseph S. 4 Santos, Francisco 4 Saorín, Eugenia 4 Sun, Qiang 4 Xiang, Ni 4 Xing, Sudan 4 Xue, Fei 4 Zhu, Baocheng 3 Berg, Sören Lennart 3 Bianchi, Gabriele 3 Brandenberg, René 3 Bruns, Winfried 3 Chen, Li 3 Colesanti, Andrea 3 Donoho, David Leigh 3 Eisenbrand, Friedrich 3 Fang, Niufa 3 Fodor, Ferenc 3 Freyer, Ansgar 3 Gómez, Eugenia Saorín 3 Jiang, Yongsheng 3 Kerr, Bryce 3 Konyagin, Sergeĭ Vladimirovich 3 Kuhlmann, Stefan 3 Leng, Gangsong 3 Lu, Xinbao 3 Lucas, Eduardo 3 Malikiosis, Romanos Diogenes 3 McAllister, Tyrrell B. 3 Michałek, Mateusz 3 Paouris, Grigoris 3 Pivovarov, Peter 3 Schnell, Uwe 3 Stoyan, Yuriĭ Grygorovych 3 Tanner, Jared W. 3 Torquato, Salvatore 3 Tu, Qiang 3 Werner, Elisabeth M. 3 Yang, Deane 3 Zaporozhets, Dmitry 3 Zhang, Deyan 3 Zou, Du 2 Aardal, Karen I. 2 Balletti, Gabriele 2 Basu, Amitabh 2 Beck, Matthias 2 Besau, Florian 2 Bey, Christian 2 Bogart, Tristram 2 Bourgain, Jean 2 Braun, Benjamin 2 Brualdi, Richard Anthony 2 Chen, Elizabeth R. 2 Chen, Haodi 2 Cilleruelo, Javier 2 Codenotti, Giulia ...and 460 more Authors all top 5 Cited in 170 Serials 35 Advances in Mathematics 31 Discrete & Computational Geometry 14 Proceedings of the American Mathematical Society 14 Transactions of the American Mathematical Society 11 Monatshefte für Mathematik 11 Mathematical Programming. Series A. Series B 10 The Electronic Journal of Combinatorics 9 Journal of Functional Analysis 9 Mathematika 9 Advances in Applied Mathematics 9 The Journal of Geometric Analysis 8 Beiträge zur Algebra und Geometrie 8 Mathematische Annalen 8 Advances in Geometry 7 Israel Journal of Mathematics 6 Geometriae Dedicata 6 Journal of Combinatorial Theory. Series A 6 European Journal of Combinatorics 6 SIAM Journal on Discrete Mathematics 5 Journal of Mathematical Analysis and Applications 5 Acta Mathematica Hungarica 5 Calculus of Variations and Partial Differential Equations 4 Discrete Mathematics 4 Aequationes Mathematicae 4 SIAM Journal on Optimization 4 Proceedings of the Steklov Institute of Mathematics 4 Moscow Journal of Combinatorics and Number Theory 3 Bulletin of the Australian Mathematical Society 3 Mathematical Notes 3 Journal of Differential Equations 3 Operations Research 3 Operations Research Letters 3 Revista Matemática Iberoamericana 3 Proceedings of the National Academy of Sciences of the United States of America 3 Bulletin of the American Mathematical Society. New Series 3 Communications in Contemporary Mathematics 3 Science China. Mathematics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 SIAM Journal on Applied Algebra and Geometry 2 Discrete Applied Mathematics 2 Journal of Mathematical Biology 2 Journal of Geometry and Physics 2 Acta Arithmetica 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 Duke Mathematical Journal 2 Indiana University Mathematics Journal 2 Inventiones Mathematicae 2 Journal of Combinatorial Theory. Series B 2 Journal of Geometry 2 Journal of Optimization Theory and Applications 2 Journal of Pure and Applied Algebra 2 Manuscripta Mathematica 2 Mathematics of Operations Research 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Pacific Journal of Mathematics 2 Results in Mathematics 2 Journal of Symbolic Computation 2 Forum Mathematicum 2 International Journal of Mathematics 2 Random Structures & Algorithms 2 Computational Geometry 2 Linear Algebra and its Applications 2 Computational Optimization and Applications 2 Journal of Mathematical Sciences (New York) 2 Foundations of Computational Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Discrete Optimization 2 Research in the Mathematical Sciences 1 Advances in Applied Probability 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Information Processing Letters 1 Journal d’Analyse Mathématique 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physica A 1 Bulletin of Mathematical Biology 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Automatica 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Mathematical Psychology 1 Journal of Statistical Planning and Inference 1 Kybernetika 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal ...and 70 more Serials all top 5 Cited in 42 Fields 326 Convex and discrete geometry (52-XX) 100 Number theory (11-XX) 63 Operations research, mathematical programming (90-XX) 37 Combinatorics (05-XX) 33 Partial differential equations (35-XX) 32 Algebraic geometry (14-XX) 30 Computer science (68-XX) 24 Probability theory and stochastic processes (60-XX) 19 Differential geometry (53-XX) 15 Commutative algebra (13-XX) 13 Numerical analysis (65-XX) 12 Real functions (26-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Group theory and generalizations (20-XX) 9 Measure and integration (28-XX) 8 Functions of a complex variable (30-XX) 8 Functional analysis (46-XX) 7 Geometry (51-XX) 7 Information and communication theory, circuits (94-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Statistics (62-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Biology and other natural sciences (92-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 2 Field theory and polynomials (12-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Citations by Year