Ear Decomposition and Balanced Neighborly Simplicial Manifolds

2016/12/12 by Hailun Zheng, Zheng, Hailun · 1 citation
Mathematics · Computer Science · #Advanced Combinatorial Mathematics #Computational Geometry and Mesh Generation #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1612.03512

Abstract

We find the first non-octahedral balanced 2-neighborly 3-sphere and the balanced 2-neighborly triangulation of the lens space L(3,1). Each construction has 16 vertices. We show that there exists a balanced 3-neighborly non-spherical 5-manifold with 18 vertices. We also show that the rank-selected subcomplexes of a balanced simplicial sphere do not necessarily have an ear decomposition.

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