Horst Martini

According to our database, Horst Martini authored at least 54 papers between 1990 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2023

A Branch-and-Bound Approach for Estimating Covering Functionals of Convex Bodies.

Chan He, Yafang Lv, Horst Martini, Senlin Wu

J. Optim. Theory Appl., March, 2023

2022

Kissing Numbers for Balls with Varying Radii.

Hiroshi Maehara, Horst Martini

Graphs Comb., 2022

2020

Tangent Spheres of Tetrahedra and a Theorem of Grace.

Hiroshi Maehara, Horst Martini

Am. Math. Mon., 2020

Crossing matchings and circuits have maximal length.

Yaakov S. Kupitz, Hagit Last, Horst Martini, Micha A. Perles, Rom Pinchasi

J. Graph Theory, 2020

2018

Touching perfect matchings and halving lines.

Micha A. Perles, Horst Martini, Yaakov S. Kupitz

Ars Math. Contemp., 2018

2017

On Lexell's Theorem.

Hiroshi Maehara, Horst Martini

Am. Math. Mon., 2017

Locally 3-Transitive Graphs of Girth 4.

Micha A. Perles, Horst Martini, Yaakov S. Kupitz

J. Graph Theory, 2017

k-Bisectors of Finite Planar Sets.

Yaakov S. Kupitz, Horst Martini, Micha A. Perles

Graphs Comb., 2017

Separating n-point sets from quasi-finite ones via polyhedral surfaces.

Hiroshi Maehara, Horst Martini

Eur. J. Comb., 2017

Ball hulls, ball intersections, and 2-center problems for gauges.

Pedro Martín, Horst Martini, Margarita Spirova

Contributions Discret. Math., 2017

2016

Involutes of polygons of constant width in Minkowski planes.

Marcos Craizer, Horst Martini

Ars Math. Contemp., 2016

2015

Minsum Location Extended to Gauges and to Convex Sets.

Thomas Jahn, Yaakov S. Kupitz, Horst Martini, Christian Richter

J. Optim. Theory Appl., 2015

Algorithms for ball hulls and ball intersections in normed planes.

Pedro Martín, Horst Martini

J. Comput. Geom., 2015

2014

Illuminating and covering convex bodies.

Horst Martini, Christian Richter, Margarita Spirova

Discret. Math., 2014

Algorithms for ball hulls and ball intersections in strictly convex normed planes.

Pedro Martín, Horst Martini

CoRR, 2014

Classical curve theory in normed planes.

Horst Martini, Senlin Wu

Comput. Aided Geom. Des., 2014

2013

The Fermat-Torricelli Problem, Part I: A Discrete Gradient-Method Approach.

Yaakov S. Kupitz, Horst Martini, Margarita Spirova

J. Optim. Theory Appl., 2013

Locally Symmetric Graphs of Girth 4.

Micha A. Perles, Horst Martini, Yaakov S. Kupitz

J. Graph Theory, 2013

On the polygonal diameter (= link diameter) of the interior, resp. exterior, of a simple closed polygon in the plane.

Micha A. Perles, Horst Martini, Yaakov S. Kupitz

Discret. Appl. Math., 2013

2012

Minsum hyperspheres in normed spaces.

Mark-Christoph Körner, Horst Martini, Anita Schöbel

Discret. Appl. Math., 2012

Minimal enclosing discs, circumcircles, and circumcenters in normed planes (Part II).

Javier Alonso, Horst Martini, Margarita Spirova

Comput. Geom., 2012

Minimal enclosing discs, circumcircles, and circumcenters in normed planes (Part I).

Javier Alonso, Horst Martini, Margarita Spirova

Comput. Geom., 2012

2011

On Bisectors for Convex Distance Functions.

Chan He, Horst Martini, Senlin Wu

Proceedings of the Eighth International Symposium on Voronoi Diagrams in Science and Engineering, 2011

2010

Visibility in crowds of translates of a centrally symmetric convex body.

Javier Alonso, Horst Martini, Margarita Spirova

Eur. J. Comb., 2010

2009

On regular 4-coverings and their application for lattice coverings in normed planes.

Horst Martini, Margarita Spirova

Discret. Math., 2009

A Jordan-Brouwer Separation Theorem for Polyhedral Pseudomanifolds.

Micha A. Perles, Horst Martini, Yaakov S. Kupitz

Discret. Comput. Geom., 2009

Geometric dilation of closed curves in normed planes.

Horst Martini, Senlin Wu

Comput. Geom., 2009

A Lipschitz condition for the width function of convex bodies in arbitrary Minkowski spaces.

Horst Martini, Walter Wenzel

Appl. Math. Lett., 2009

2008

Halving circular arcs in normed planes.

Horst Martini, Senlin Wu

Period. Math. Hung., 2008

Circle geometry in affine Cayley-Klein planes.

Horst Martini, Margarita Spirova

Period. Math. Hung., 2008

On pyramids and reducedness.

Gennadiy Averkov, Horst Martini

Period. Math. Hung., 2008

Geometric graphs which are 1-skeletons of unstacked triangulated polygons.

Yaakov S. Kupitz, Horst Martini

Discret. Math., 2008

A new construction of curves of constant width.

Horst Martini, Zokhrab Mustafaev

Comput. Aided Geom. Des., 2008

2006

On Napoleon's theorem in the isotropic plane.

Horst Martini, Margarita Spirova

Period. Math. Hung., 2006

Some applications of cross-section measures in Minkowski spaces.

Horst Martini, Zokhrab Mustafaev

Period. Math. Hung., 2006

Projections of normed linear spaces with closed subspaces of finite codimension as kernels.

Endre Makai Jr., Horst Martini

Period. Math. Hung., 2006

Low-degree minimal spanning trees in normed spaces.

Horst Martini, Konrad J. Swanepoel

Appl. Math. Lett., 2006

2005

Antipodality properties of finite sets in Euclidean space.

Horst Martini, Valeriu Soltan

Discret. Math., 2005

2003

Minkowski addition of H-convex sets and related Helly-type theorems.

Vladimir G. Boltyanski, Horst Martini

J. Comb. Theory A, 2003

2002

Covering and Packing Problems in Lattices Associated with then-Cube.

Horst Martini, Walter Wenzel

Eur. J. Comb., 2002

Tetrahedra are not reduced.

Horst Martini, Walter Wenzel

Appl. Math. Lett., 2002

2001

Carathéodory's Theorem and H-Convexity.

Vladimir G. Boltyanski, Horst Martini

J. Comb. Theory A, 2001

From Intersectors to Successors.

Yaakov S. Kupitz, Horst Martini

Graphs Comb., 2001

Median and center hyperplanes in Minkowski spaces--a unified approach.

Horst Martini, Anita Schöbel

Discret. Math., 2001

1999

Minimum Number of Pieces in a Convex Partition of a Polygonal Domain.

Horst Martini, Valeriu Soltan

Int. J. Comput. Geom. Appl., 1999

On convex partitions of polygonal regions.

Horst Martini, Petru Soltan

Discret. Math., 1999

On Grünbaum's Conjecture about Inner Illumination of Convex Bodies.

Vladimir G. Boltyanski, Horst Martini, Valeriu Soltan

Discret. Comput. Geom., 1999

1998

Minimum Convex Partition of Polygonal Domains by Guillotine Cuts.

Horst Martini, Valeriu Soltan

Discret. Comput. Geom., 1998

Median Hyperplanes in Normed Spaces - A Survey.

Horst Martini, Anita Schöbel

Discret. Appl. Math., 1998

1996

Shadow-boundaries of convex bodies.

Horst Martini

Discret. Math., 1996

Star-Shaped Sets in Normed Spaces.

Vladimir G. Boltyanski, Horst Martini, P. S. Soltan

Discret. Comput. Geom., 1996

1991

Convex Polytopes Whose Projection Bodies and Difference Set Are Polars.

Horst Martini

Discret. Comput. Geom., 1991

1990

Approximating Finite Weighted Point Sets by Hyperplanes.

Nickolay M. Korneenko, Horst Martini

Proceedings of the SWAT 90, 1990

On the Number of Antipodal or Strictly Antipodal Pairs of Points in Finite Subsets Of Rd.

Endre Makai Jr., Horst Martini

Proceedings of the Applied Geometry And Discrete Mathematics, 1990