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Neighborly maps with few vertices |
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| Authors: | Amos Altshuler Ulrich Brehm |
| Affiliation: | 1. Ben-Gurion University of the Negev, Beer-Sheva, Israel 2. Temple University, Philadelphia, Pennsylvania, USA 3. Technische Universit?t Berlin, FB Mathematik, Berlin 12, Germany |
| Abstract: | A neighborly map is a simplicial 2-complex which decomposes a closed 2-manifold without boundary, such that any two vertices are joined by an edge (1-cell) in the complex. We find and describe all the neighborly maps with Euler characteristicX>−10 (i.e., genusg<6, if orientable) or, equivalently, all the neighborly maps withV<12 vertices. |
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