Displaying similar documents to “Classification of six-point metrics.”

The Demyanov metric and some other metrics in the family of convex sets

Tadeusz Rzeżuchowski (2012)

Open Mathematics

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We describe some known metrics in the family of convex sets which are stronger than the Hausdorff metric and propose a new one. These stronger metrics preserve in some sense the facial structure of convex sets under small changes of sets.

Contractions of Nadler type on partial tvs-cone metric spaces

Xun Ge, Shou Lin (2015)

Colloquium Mathematicae

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This paper introduces partial tvs-cone metric spaces as a common generalization of both tvs-cone metric spaces and partial metric spaces, and gives a new fixed point theorem for contractions of Nadler type on partial tvs-cone metric spaces. As corollaries, we obtain the main results of S. B. Nadler (1969), D. Wardowski (2011), S. Radenović et al. (2011) and H. Aydi et al. (2012) are deduced.

On the refinements of a polyhedral subdivision.

Francisco Santos (2001)

Collectanea Mathematica

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Let pi: P --> Q be an affine projection map between two polytopes P and Q. Billera and Sturmfels introduced in 1992 the concept of polyhedral subdivisions of Q induced by pi (or pi-induced) and the fiber polytope of the projection: a polytope Sygma(P,pi) of dimension dim(P)-dim(Q) whose faces are in correspondence with the coherent pi-induced subdivisions (or pi-coherent subdivisions). In this paper we investigate the structure of the poset of pi-induced refinements of a pi-induced...

How to draw tropical planes.

Herrmann, Sven, Jensen, Anders, Joswig, Michael, Sturmfels, Bernd (2009)

The Electronic Journal of Combinatorics [electronic only]

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Two signed associahedra.

Burgiel, H., Reiner, V. (1998)

The New York Journal of Mathematics [electronic only]

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