Horst Martini

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. Discrete Applied Mathematics 161(10-11): 1576-1585 (2013)

Micha A. Perles, Horst Martini, Yaakov S. Kupitz: Locally Symmetric Graphs of Girth 4. Journal of Graph Theory 73(1): 44-65 (2013)

Javier Alonso, Horst Martini, Margarita Spirova: Minimal enclosing discs, circumcircles, and circumcenters in normed planes (Part I). Comput. Geom. 45(5-6): 258-274 (2012)

Javier Alonso, Horst Martini, Margarita Spirova: Minimal enclosing discs, circumcircles, and circumcenters in normed planes (Part II). Comput. Geom. 45(7): 350-369 (2012)

Mark-Christoph Körner, Horst Martini, Anita Schöbel: Minsum hyperspheres in normed spaces. Discrete Applied Mathematics 160(15): 2221-2233 (2012)

Chan He, Horst Martini, Senlin Wu: On Bisectors for Convex Distance Functions. ISVD 2011: 23-30

Javier Alonso, Horst Martini, Margarita Spirova: Visibility in crowds of translates of a centrally symmetric convex body. Eur. J. Comb. 31(3): 710-719 (2010)

Horst Martini, Walter Wenzel: A Lipschitz condition for the width function of convex bodies in arbitrary Minkowski spaces. Appl. Math. Lett. 22(1): 142-145 (2009)

Horst Martini, Senlin Wu: Geometric dilation of closed curves in normed planes. Comput. Geom. 42(4): 315-321 (2009)

Micha A. Perles, Horst Martini, Yaakov S. Kupitz: A Jordan-Brouwer Separation Theorem for Polyhedral Pseudomanifolds. Discrete & Computational Geometry 42(2): 277-304 (2009)

Horst Martini, Margarita Spirova: On regular 4-coverings and their application for lattice coverings in normed planes. Discrete Mathematics 309(16): 5158-5168 (2009)

Horst Martini, Zokhrab Mustafaev: A new construction of curves of constant width. Computer Aided Geometric Design 25(9): 751-755 (2008)

Yaakov S. Kupitz, Horst Martini: Geometric graphs which are 1-skeletons of unstacked triangulated polygons. Discrete Mathematics 308(23): 5485-5498 (2008)

Gennadiy Averkov, Horst Martini: On pyramids and reducedness. Periodica Mathematica Hungarica 57(2): 117-120 (2008)

Horst Martini, Margarita Spirova: Circle geometry in affine Cayley-Klein planes. Periodica Mathematica Hungarica 57(2): 197-206 (2008)

Horst Martini, Senlin Wu: Halving circular arcs in normed planes. Periodica Mathematica Hungarica 57(2): 207-215 (2008)

Horst Martini, Konrad J. Swanepoel: Low-degree minimal spanning trees in normed spaces. Appl. Math. Lett. 19(2): 122-125 (2006)

Endre Makai Jr., Horst Martini: Projections of normed linear spaces with closed subspaces of finite codimension as kernels. Periodica Mathematica Hungarica 52(1): 41-46 (2006)

Horst Martini, Zokhrab Mustafaev: Some applications of cross-section measures in Minkowski spaces. Periodica Mathematica Hungarica 53(1-2): 185-197 (2006)

Horst Martini, Margarita Spirova: On Napoleon's theorem in the isotropic plane]{On Napoleon's theorem in the isotropic plane. Periodica Mathematica Hungarica 53(1-2): 199-208 (2006)

Horst Martini, Valeriu Soltan: Antipodality properties of finite sets in Euclidean space. Discrete Mathematics 290(2/3): 221-228 (2005)

Vladimir G. Boltyanski, Horst Martini: Minkowski addition of H-convex sets and related Helly-type theorems. J. Comb. Theory, Ser. A 103(2): 323-336 (2003)

Horst Martini, Walter Wenzel: Tetrahedra are not reduced. Appl. Math. Lett. 15(7): 881-884 (2002)

Horst Martini, Walter Wenzel: Covering and Packing Problems in Lattices Associated with then-Cube. Eur. J. Comb. 23(1): 63-75 (2002)

Horst Martini, Anita Schöbel: Median and center hyperplanes in Minkowski spaces--a unified approach. Discrete Mathematics 241(1-3): 407-426 (2001)

Yaakov S. Kupitz, Horst Martini: From Intersectors to Successors. Graphs and Combinatorics 17(1): 99-111 (2001)

Vladimir G. Boltyanski, Horst Martini: Carathéodory's Theorem and H-Convexity. J. Comb. Theory, Ser. A 93(2): 292-309 (2001)

Vladimir G. Boltyanski, Horst Martini, Valeriu Soltan: On Grünbaum's Conjecture about Inner Illumination of Convex Bodies. Discrete & Computational Geometry 22(3): 403-410 (1999)

Horst Martini, Petru Soltan: On convex partitions of polygonal regions. Discrete Mathematics 195(1-3): 167-180 (1999)

Horst Martini, Valeriu Soltan: Minimum Number of Pieces in a Convex Partition of a Polygonal Domain. Int. J. Comput. Geometry Appl. 9(6): 599-614 (1999)

Horst Martini, Anita Schöbel: Median Hyperplanes in Normed Spaces - A Survey. Discrete Applied Mathematics 89(1-3): 181-195 (1998)

Horst Martini, Valeriu Soltan: Minimum Convex Partition of Polygonal Domains by Guillotine Cuts. Discrete & Computational Geometry 19(2): 291-305 (1998)

Vladimir G. Boltyanski, Horst Martini, P. S. Soltan: Star-Shaped Sets in Normed Spaces. Discrete & Computational Geometry 15(1): 63-71 (1996)

Horst Martini: Shadow-boundaries of convex bodies. Discrete Mathematics 155(1-3): 161-172 (1996)

Horst Martini: Convex Polytopes Whose Projection Bodies and Difference Set Are Polars. Discrete & Computational Geometry 6: 83-91 (1991)

Nickolay M. Korneenko, Horst Martini: Approximating Finite Weighted Point Sets by Hyperplanes. SWAT 1990: 276-286