On weakly neighborly polyhedral maps of arbitrary genus

Author:

Brehm Ulrich,Altshuler Amos

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference14 articles.

1. A. Altshuler,Polyhedral realization in R 3 of triangulations of the torus and 2-manifolds in cyclic 4-polytopes, Discrete Math.1 (1971), 211–238.

2. A. Altshuler and U. Brehm,A non-Schlegelian polyhedral map on the torus, Mathematika31 (1984), 83–88.

3. A. Altshuler and U. Brehm,Non-existence of weakly neighborly polyhedral maps on the orientable 2-manifold of genus 2, J. Combinatorial Theory, Ser. A, to appear.

4. A. Altshuler and U. Brehm,The weakly neighborly polyhedral maps on the 2-manifold with Euler characteristic −1, Discrete & Computational Geometry, to appear.

5. A. Altshuler and U. Brehm,The weakly neighborly polyhedral maps on the non-orientable 2-manifold with Euler characteristic −2, to appear.

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1. Normal surfaces as combinatorial slicings;Discrete Mathematics;2011-07

2. Construction and Representation of Neighborly Manifolds;Journal of Combinatorial Theory, Series A;1997-02

3. Polyhedral Manifolds;Handbook of Convex Geometry;1993

4. Neighborly maps with few vertices;Discrete & Computational Geometry;1992-07

5. The weakly neighborly polyhedral maps on the non-orientable 2-manifold with Euler characteristic −2;Journal of Combinatorial Theory, Series A;1987-05

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