Horst Martini

Publication Activity (10 Years)

Years Active: 1990-2023
Publications (10 Years): 13

Top Topics

Piecewise Planar

Strictly Convex

Top Venues

J. Optim. Theory Appl.

J. Graph Theory

Ars Math. Contemp.

Publications

Chan He, Yafang Lv, Horst Martini, Senlin Wu
A Branch-and-Bound Approach for Estimating Covering Functionals of Convex Bodies. J. Optim. Theory Appl. 196 (3) (2023)
Hiroshi Maehara, Horst Martini
Kissing Numbers for Balls with Varying Radii. Graphs Comb. 38 (6) (2022)
Yaakov S. Kupitz, Hagit Last, Horst Martini, Micha A. Perles, Rom Pinchasi
Crossing matchings and circuits have maximal length. J. Graph Theory 94 (1) (2020)
Hiroshi Maehara, Horst Martini
Tangent Spheres of Tetrahedra and a Theorem of Grace. Am. Math. Mon. 127 (10) (2020)
Micha A. Perles, Horst Martini, Yaakov S. Kupitz
Touching perfect matchings and halving lines. Ars Math. Contemp. 15 (2) (2018)
Pedro Martín, Horst Martini, Margarita Spirova
Ball hulls, ball intersections, and 2-center problems for gauges. Contributions Discret. Math. 12 (2) (2017)
Yaakov S. Kupitz, Horst Martini, Micha A. Perles
k-Bisectors of Finite Planar Sets. Graphs Comb. 33 (4) (2017)
Hiroshi Maehara, Horst Martini
Separating n-point sets from quasi-finite ones via polyhedral surfaces. Eur. J. Comb. 61 (2017)
Micha A. Perles, Horst Martini, Yaakov S. Kupitz
Locally 3-Transitive Graphs of Girth 4. J. Graph Theory 84 (4) (2017)
Hiroshi Maehara, Horst Martini
On Lexell's Theorem. Am. Math. Mon. 124 (4) (2017)
Marcos Craizer, Horst Martini
Involutes of polygons of constant width in Minkowski planes. Ars Math. Contemp. 11 (1) (2016)
Pedro Martín, Horst Martini
Algorithms for ball hulls and ball intersections in normed planes. J. Comput. Geom. 6 (1) (2015)
Thomas Jahn, Yaakov S. Kupitz, Horst Martini, Christian Richter
Minsum Location Extended to Gauges and to Convex Sets. J. Optim. Theory Appl. 166 (3) (2015)
Horst Martini, Christian Richter, Margarita Spirova
Illuminating and covering convex bodies. Discret. Math. 337 (2014)
Horst Martini, Senlin Wu
Classical curve theory in normed planes. Comput. Aided Geom. Des. 31 (7-8) (2014)
Pedro Martín, Horst Martini
Algorithms for ball hulls and ball intersections in strictly convex normed planes. CoRR (2014)
Micha A. Perles, Horst Martini, Yaakov S. Kupitz
On the polygonal diameter (= link diameter) of the interior, resp. exterior, of a simple closed polygon in the plane. Discret. Appl. Math. 161 (10-11) (2013)
Yaakov S. Kupitz, Horst Martini, Margarita Spirova
The Fermat-Torricelli Problem, Part I: A Discrete Gradient-Method Approach. J. Optim. Theory Appl. 158 (2) (2013)
Micha A. Perles, Horst Martini, Yaakov S. Kupitz
Locally Symmetric Graphs of Girth 4. J. Graph Theory 73 (1) (2013)
Javier Alonso, Horst Martini, Margarita Spirova
Minimal enclosing discs, circumcircles, and circumcenters in normed planes (Part II). Comput. Geom. 45 (7) (2012)
Javier Alonso, Horst Martini, Margarita Spirova
Minimal enclosing discs, circumcircles, and circumcenters in normed planes (Part I). Comput. Geom. 45 (5-6) (2012)
Mark-Christoph Körner, Horst Martini, Anita Schöbel
Minsum hyperspheres in normed spaces. Discret. Appl. Math. 160 (15) (2012)
Chan He, Horst Martini, Senlin Wu
On Bisectors for Convex Distance Functions. ISVD (2011)
Javier Alonso, Horst Martini, Margarita Spirova
Visibility in crowds of translates of a centrally symmetric convex body. Eur. J. Comb. 31 (3) (2010)
Horst Martini, Walter Wenzel
A Lipschitz condition for the width function of convex bodies in arbitrary Minkowski spaces. Appl. Math. Lett. 22 (1) (2009)
Micha A. Perles, Horst Martini, Yaakov S. Kupitz
A Jordan-Brouwer Separation Theorem for Polyhedral Pseudomanifolds. Discret. Comput. Geom. 42 (2) (2009)
Horst Martini, Margarita Spirova
On regular 4-coverings and their application for lattice coverings in normed planes. Discret. Math. 309 (16) (2009)
Horst Martini, Senlin Wu
Geometric dilation of closed curves in normed planes. Comput. Geom. 42 (4) (2009)
Horst Martini, Senlin Wu
Halving circular arcs in normed planes. Period. Math. Hung. 57 (2) (2008)
Gennadiy Averkov, Horst Martini
On pyramids and reducedness. Period. Math. Hung. 57 (2) (2008)
Yaakov S. Kupitz, Horst Martini
Geometric graphs which are 1-skeletons of unstacked triangulated polygons. Discret. Math. 308 (23) (2008)
Horst Martini, Zokhrab Mustafaev
A new construction of curves of constant width. Comput. Aided Geom. Des. 25 (9) (2008)
Horst Martini, Margarita Spirova
Circle geometry in affine Cayley-Klein planes. Period. Math. Hung. 57 (2) (2008)
Horst Martini, Margarita Spirova
On Napoleon's theorem in the isotropic plane. Period. Math. Hung. 53 (1-2) (2006)
Horst Martini, Konrad J. Swanepoel
Low-degree minimal spanning trees in normed spaces. Appl. Math. Lett. 19 (2) (2006)
Horst Martini, Zokhrab Mustafaev
Some applications of cross-section measures in Minkowski spaces. Period. Math. Hung. 53 (1-2) (2006)
Endre Makai Jr., Horst Martini
Projections of normed linear spaces with closed subspaces of finite codimension as kernels. Period. Math. Hung. 52 (1) (2006)
Horst Martini, Valeriu Soltan
Antipodality properties of finite sets in Euclidean space. Discret. Math. 290 (2/3) (2005)
Vladimir G. Boltyanski, Horst Martini
Minkowski addition of H-convex sets and related Helly-type theorems. J. Comb. Theory, Ser. A 103 (2) (2003)
Horst Martini, Walter Wenzel
Tetrahedra are not reduced. Appl. Math. Lett. 15 (7) (2002)
Horst Martini, Walter Wenzel
Covering and Packing Problems in Lattices Associated with then-Cube. Eur. J. Comb. 23 (1) (2002)
Vladimir G. Boltyanski, Horst Martini
Carathéodory's Theorem and H-Convexity. J. Comb. Theory, Ser. A 93 (2) (2001)
Horst Martini, Anita Schöbel
Median and center hyperplanes in Minkowski spaces--a unified approach. Discret. Math. 241 (1-3) (2001)
Yaakov S. Kupitz, Horst Martini
From Intersectors to Successors. Graphs Comb. 17 (1) (2001)
Vladimir G. Boltyanski, Horst Martini, Valeriu Soltan
On Grünbaum's Conjecture about Inner Illumination of Convex Bodies. Discret. Comput. Geom. 22 (3) (1999)
Horst Martini, Petru Soltan
On convex partitions of polygonal regions. Discret. Math. 195 (1-3) (1999)
Horst Martini, Valeriu Soltan
Minimum Number of Pieces in a Convex Partition of a Polygonal Domain. Int. J. Comput. Geom. Appl. 9 (6) (1999)
Horst Martini, Valeriu Soltan
Minimum Convex Partition of Polygonal Domains by Guillotine Cuts. Discret. Comput. Geom. 19 (2) (1998)
Horst Martini, Anita Schöbel
Median Hyperplanes in Normed Spaces - A Survey. Discret. Appl. Math. 89 (1-3) (1998)
Horst Martini
Shadow-boundaries of convex bodies. Discret. Math. 155 (1-3) (1996)
Vladimir G. Boltyanski, Horst Martini, P. S. Soltan
Star-Shaped Sets in Normed Spaces. Discret. Comput. Geom. 15 (1) (1996)
Horst Martini
Convex Polytopes Whose Projection Bodies and Difference Set Are Polars. Discret. Comput. Geom. 6 (1991)
Endre Makai Jr., Horst Martini
On the Number of Antipodal or Strictly Antipodal Pairs of Points in Finite Subsets Of Rd. Applied Geometry And Discrete Mathematics (1990)
Nickolay M. Korneenko, Horst Martini
Approximating Finite Weighted Point Sets by Hyperplanes. SWAT (1990)