Lucas sequences in t-uniform simplicial complexes

2019/04/13 by Ioana‐Claudia Lazăr, Lazăr, Ioana-Claudia · 1 citation
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Advanced Combinatorial Mathematics #Graph theory and applications

paper · pdf · doi:10.48550/arxiv.1904.06555

Abstract

We introduce t-uniform simplicial complexes and we show that the lengths of spheres in such complexes are the terms of certain Lucas sequences. We find optimal constants for the linear isoperimetric inequality in the hyperbolic case.

Citations

• A combinatorial negative curvature condition implying Gromov\n hyperbolicity

Cited by

• Recurrence relations in (s,t)-uniform simplicial complexes

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