Geodesic
Ear decomposition and balanced neighborly simplicial manifolds
The electronic journal of combinatorics, Tome 27 (2020) no. 1
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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.
DOI : 10.37236/8341
Classification : 05E45, 52B05
Mots-clés : balanced simplicial sphere 
@article{10_37236_8341,
     author = {Hailun Zheng},
     title = {Ear decomposition and balanced neighborly simplicial manifolds},
     journal = {The electronic journal of combinatorics},
     year = {2020},
     volume = {27},
     number = {1},
     doi = {10.37236/8341},
     zbl = {1431.05156},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/8341/}
}
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Hailun Zheng. Ear decomposition and balanced neighborly simplicial manifolds. The electronic journal of combinatorics, Tome 27 (2020) no. 1. doi: 10.37236/8341

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