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Horst Martini
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2020 – today
- 2023
- [j50]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): 1036-1055 (2023) - 2022
- [j49]Hiroshi Maehara, Horst Martini:
Kissing Numbers for Balls with Varying Radii. Graphs Comb. 38(6): 183 (2022) - 2020
- [j48]Yaakov S. Kupitz, Hagit Last, Horst Martini, Micha A. Perles, Rom Pinchasi:
Crossing matchings and circuits have maximal length. J. Graph Theory 94(1): 159-169 (2020) - [j47]Hiroshi Maehara, Horst Martini:
Tangent Spheres of Tetrahedra and a Theorem of Grace. Am. Math. Mon. 127(10): 897-910 (2020)
2010 – 2019
- 2018
- [j46]Micha A. Perles, Horst Martini, Yaakov S. Kupitz:
Touching perfect matchings and halving lines. Ars Math. Contemp. 15(2): 375-382 (2018) - 2017
- [j45]Pedro Martín, Horst Martini, Margarita Spirova:
Ball hulls, ball intersections, and 2-center problems for gauges. Contributions Discret. Math. 12(2) (2017) - [j44]Hiroshi Maehara, Horst Martini:
Separating n-point sets from quasi-finite ones via polyhedral surfaces. Eur. J. Comb. 61: 85-90 (2017) - [j43]Yaakov S. Kupitz, Horst Martini, Micha A. Perles:
k-Bisectors of Finite Planar Sets. Graphs Comb. 33(4): 981-990 (2017) - [j42]Micha A. Perles, Horst Martini, Yaakov S. Kupitz:
Locally 3-Transitive Graphs of Girth 4. J. Graph Theory 84(4): 512-520 (2017) - [j41]Hiroshi Maehara, Horst Martini:
On Lexell's Theorem. Am. Math. Mon. 124(4): 337-344 (2017) - 2016
- [j40]Marcos Craizer, Horst Martini:
Involutes of polygons of constant width in Minkowski planes. Ars Math. Contemp. 11(1): 107-125 (2016) - 2015
- [j39]Pedro Martín, Horst Martini:
Algorithms for ball hulls and ball intersections in normed planes. J. Comput. Geom. 6(1): 99-107 (2015) - [j38]Thomas Jahn, Yaakov S. Kupitz, Horst Martini, Christian Richter:
Minsum Location Extended to Gauges and to Convex Sets. J. Optim. Theory Appl. 166(3): 711-746 (2015) - 2014
- [j37]Horst Martini, Senlin Wu:
Classical curve theory in normed planes. Comput. Aided Geom. Des. 31(7-8): 373-397 (2014) - [j36]Horst Martini, Christian Richter, Margarita Spirova:
Illuminating and covering convex bodies. Discret. Math. 337: 106-118 (2014) - [i1]Pedro Martín, Horst Martini:
Algorithms for ball hulls and ball intersections in strictly convex normed planes. CoRR abs/1411.7159 (2014) - 2013
- [j35]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): 1576-1585 (2013) - [j34]Micha A. Perles, Horst Martini, Yaakov S. Kupitz:
Locally Symmetric Graphs of Girth 4. J. Graph Theory 73(1): 44-65 (2013) - [j33]Yaakov S. Kupitz, Horst Martini, Margarita Spirova:
The Fermat-Torricelli Problem, Part I: A Discrete Gradient-Method Approach. J. Optim. Theory Appl. 158(2): 305-327 (2013) - 2012
- [j32]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) - [j31]Javier Alonso, Horst Martini, Margarita Spirova:
Minimal enclosing discs, circumcircles, and circumcenters in normed planes (Part II). Comput. Geom. 45(7): 350-369 (2012) - [j30]Mark-Christoph Körner, Horst Martini, Anita Schöbel:
Minsum hyperspheres in normed spaces. Discret. Appl. Math. 160(15): 2221-2233 (2012) - 2011
- [c3]Chan He, Horst Martini, Senlin Wu:
On Bisectors for Convex Distance Functions. ISVD 2011: 23-30 - 2010
- [j29]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)
2000 – 2009
- 2009
- [j28]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) - [j27]Horst Martini, Senlin Wu:
Geometric dilation of closed curves in normed planes. Comput. Geom. 42(4): 315-321 (2009) - [j26]Micha A. Perles, Horst Martini, Yaakov S. Kupitz:
A Jordan-Brouwer Separation Theorem for Polyhedral Pseudomanifolds. Discret. Comput. Geom. 42(2): 277-304 (2009) - [j25]Horst Martini, Margarita Spirova:
On regular 4-coverings and their application for lattice coverings in normed planes. Discret. Math. 309(16): 5158-5168 (2009) - 2008
- [j24]Horst Martini, Zokhrab Mustafaev:
A new construction of curves of constant width. Comput. Aided Geom. Des. 25(9): 751-755 (2008) - [j23]Yaakov S. Kupitz, Horst Martini:
Geometric graphs which are 1-skeletons of unstacked triangulated polygons. Discret. Math. 308(23): 5485-5498 (2008) - [j22]Gennadiy Averkov, Horst Martini:
On pyramids and reducedness. Period. Math. Hung. 57(2): 117-120 (2008) - [j21]Horst Martini, Margarita Spirova:
Circle geometry in affine Cayley-Klein planes. Period. Math. Hung. 57(2): 197-206 (2008) - [j20]Horst Martini, Senlin Wu:
Halving circular arcs in normed planes. Period. Math. Hung. 57(2): 207-215 (2008) - 2006
- [j19]Horst Martini, Konrad J. Swanepoel:
Low-degree minimal spanning trees in normed spaces. Appl. Math. Lett. 19(2): 122-125 (2006) - [j18]Endre Makai Jr., Horst Martini:
Projections of normed linear spaces with closed subspaces of finite codimension as kernels. Period. Math. Hung. 52(1): 41-46 (2006) - [j17]Horst Martini, Zokhrab Mustafaev:
Some applications of cross-section measures in Minkowski spaces. Period. Math. Hung. 53(1-2): 185-197 (2006) - [j16]Horst Martini, Margarita Spirova:
On Napoleon's theorem in the isotropic plane. Period. Math. Hung. 53(1-2): 199-208 (2006) - 2005
- [j15]Horst Martini, Valeriu Soltan:
Antipodality properties of finite sets in Euclidean space. Discret. Math. 290(2/3): 221-228 (2005) - 2003
- [j14]Vladimir G. Boltyanski, Horst Martini:
Minkowski addition of H-convex sets and related Helly-type theorems. J. Comb. Theory A 103(2): 323-336 (2003) - 2002
- [j13]Horst Martini, Walter Wenzel:
Tetrahedra are not reduced. Appl. Math. Lett. 15(7): 881-884 (2002) - [j12]Horst Martini, Walter Wenzel:
Covering and Packing Problems in Lattices Associated with then-Cube. Eur. J. Comb. 23(1): 63-75 (2002) - 2001
- [j11]Horst Martini, Anita Schöbel:
Median and center hyperplanes in Minkowski spaces--a unified approach. Discret. Math. 241(1-3): 407-426 (2001) - [j10]Yaakov S. Kupitz, Horst Martini:
From Intersectors to Successors. Graphs Comb. 17(1): 99-111 (2001) - [j9]Vladimir G. Boltyanski, Horst Martini:
Carathéodory's Theorem and H-Convexity. J. Comb. Theory A 93(2): 292-309 (2001)
1990 – 1999
- 1999
- [j8]Vladimir G. Boltyanski, Horst Martini, Valeriu Soltan:
On Grünbaum's Conjecture about Inner Illumination of Convex Bodies. Discret. Comput. Geom. 22(3): 403-410 (1999) - [j7]Horst Martini, Petru Soltan:
On convex partitions of polygonal regions. Discret. Math. 195(1-3): 167-180 (1999) - [j6]Horst Martini, Valeriu Soltan:
Minimum Number of Pieces in a Convex Partition of a Polygonal Domain. Int. J. Comput. Geom. Appl. 9(6): 599-614 (1999) - 1998
- [j5]Horst Martini, Anita Schöbel:
Median Hyperplanes in Normed Spaces - A Survey. Discret. Appl. Math. 89(1-3): 181-195 (1998) - [j4]Horst Martini, Valeriu Soltan:
Minimum Convex Partition of Polygonal Domains by Guillotine Cuts. Discret. Comput. Geom. 19(2): 291-305 (1998) - 1996
- [j3]Vladimir G. Boltyanski, Horst Martini, P. S. Soltan:
Star-Shaped Sets in Normed Spaces. Discret. Comput. Geom. 15(1): 63-71 (1996) - [j2]Horst Martini:
Shadow-boundaries of convex bodies. Discret. Math. 155(1-3): 161-172 (1996) - 1991
- [j1]Horst Martini:
Convex Polytopes Whose Projection Bodies and Difference Set Are Polars. Discret. Comput. Geom. 6: 83-91 (1991) - 1990
- [c2]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: 457-470 - [c1]Nickolay M. Korneenko, Horst Martini:
Approximating Finite Weighted Point Sets by Hyperplanes. SWAT 1990: 276-286
Coauthor Index
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