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Connected sums of Z-knotted triangulations

2017/03/21 by Mark Pankov, Pankov, Mark, Adam Tyc +1
Computer Science · Engineering · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1703.07097

openalex publication_date 2017/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An embedded graph is called z-knotted if it contains the unique zigzag (up to reversing). We consider z-knotted triangulations, i.e. z-knotted embedded graphs whose faces are triangles, and describe all cases when the connected sum of two z-knotted triangulations is z-knotted.

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