Horst Martini

According to our database1, Horst Martini authored at least 54 papers between 1990 and 2023.

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Bibliography

2023
A Branch-and-Bound Approach for Estimating Covering Functionals of Convex Bodies.
J. Optim. Theory Appl., March, 2023

2022
Kissing Numbers for Balls with Varying Radii.
Graphs Comb., 2022

2020
Tangent Spheres of Tetrahedra and a Theorem of Grace.
Am. Math. Mon., 2020

Crossing matchings and circuits have maximal length.
J. Graph Theory, 2020

2018
Touching perfect matchings and halving lines.
Ars Math. Contemp., 2018

2017
On Lexell's Theorem.
Am. Math. Mon., 2017

Locally 3-Transitive Graphs of Girth 4.
J. Graph Theory, 2017

k-Bisectors of Finite Planar Sets.
Graphs Comb., 2017

Separating n-point sets from quasi-finite ones via polyhedral surfaces.
Eur. J. Comb., 2017

Ball hulls, ball intersections, and 2-center problems for gauges.
Contributions Discret. Math., 2017

2016
Involutes of polygons of constant width in Minkowski planes.
Ars Math. Contemp., 2016

2015
Minsum Location Extended to Gauges and to Convex Sets.
J. Optim. Theory Appl., 2015

Algorithms for ball hulls and ball intersections in normed planes.
J. Comput. Geom., 2015

2014
Illuminating and covering convex bodies.
Discret. Math., 2014

Algorithms for ball hulls and ball intersections in strictly convex normed planes.
CoRR, 2014

Classical curve theory in normed planes.
Comput. Aided Geom. Des., 2014

2013
The Fermat-Torricelli Problem, Part I: A Discrete Gradient-Method Approach.
J. Optim. Theory Appl., 2013

Locally Symmetric Graphs of Girth 4.
J. Graph Theory, 2013

On the polygonal diameter (= link diameter) of the interior, resp. exterior, of a simple closed polygon in the plane.
Discret. Appl. Math., 2013

2012
Minsum hyperspheres in normed spaces.
Discret. Appl. Math., 2012

Minimal enclosing discs, circumcircles, and circumcenters in normed planes (Part II).
Comput. Geom., 2012

Minimal enclosing discs, circumcircles, and circumcenters in normed planes (Part I).
Comput. Geom., 2012

2011
On Bisectors for Convex Distance Functions.
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.
Eur. J. Comb., 2010

2009
On regular 4-coverings and their application for lattice coverings in normed planes.
Discret. Math., 2009

A Jordan-Brouwer Separation Theorem for Polyhedral Pseudomanifolds.
Discret. Comput. Geom., 2009

Geometric dilation of closed curves in normed planes.
Comput. Geom., 2009

A Lipschitz condition for the width function of convex bodies in arbitrary Minkowski spaces.
Appl. Math. Lett., 2009

2008
Halving circular arcs in normed planes.
Period. Math. Hung., 2008

Circle geometry in affine Cayley-Klein planes.
Period. Math. Hung., 2008

On pyramids and reducedness.
Period. Math. Hung., 2008

Geometric graphs which are 1-skeletons of unstacked triangulated polygons.
Discret. Math., 2008

A new construction of curves of constant width.
Comput. Aided Geom. Des., 2008

2006
On Napoleon's theorem in the isotropic plane.
Period. Math. Hung., 2006

Some applications of cross-section measures in Minkowski spaces.
Period. Math. Hung., 2006

Projections of normed linear spaces with closed subspaces of finite codimension as kernels.
Period. Math. Hung., 2006

Low-degree minimal spanning trees in normed spaces.
Appl. Math. Lett., 2006

2005
Antipodality properties of finite sets in Euclidean space.
Discret. Math., 2005

2003
Minkowski addition of H-convex sets and related Helly-type theorems.
J. Comb. Theory A, 2003

2002
Covering and Packing Problems in Lattices Associated with then-Cube.
Eur. J. Comb., 2002

Tetrahedra are not reduced.
Appl. Math. Lett., 2002

2001
Carathéodory's Theorem and H-Convexity.
J. Comb. Theory A, 2001

From Intersectors to Successors.
Graphs Comb., 2001

Median and center hyperplanes in Minkowski spaces--a unified approach.
Discret. Math., 2001

1999
Minimum Number of Pieces in a Convex Partition of a Polygonal Domain.
Int. J. Comput. Geom. Appl., 1999

On convex partitions of polygonal regions.
Discret. Math., 1999

On Grünbaum's Conjecture about Inner Illumination of Convex Bodies.
Discret. Comput. Geom., 1999

1998
Minimum Convex Partition of Polygonal Domains by Guillotine Cuts.
Discret. Comput. Geom., 1998

Median Hyperplanes in Normed Spaces - A Survey.
Discret. Appl. Math., 1998

1996
Shadow-boundaries of convex bodies.
Discret. Math., 1996

Star-Shaped Sets in Normed Spaces.
Discret. Comput. Geom., 1996

1991
Convex Polytopes Whose Projection Bodies and Difference Set Are Polars.
Discret. Comput. Geom., 1991

1990
Approximating Finite Weighted Point Sets by Hyperplanes.
Proceedings of the SWAT 90, 1990

On the Number of Antipodal or Strictly Antipodal Pairs of Points in Finite Subsets Of Rd.
Proceedings of the Applied Geometry And Discrete Mathematics, 1990


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