The Link Component Number of Suspended Trees
Toshiki Endo
TL;DR
This paper explores the relationship between the geometric structure of suspended trees and the number of components in their associated link diagrams, providing insights into their topological properties.
Contribution
It establishes a new relationship linking the geometry of suspended trees to the link components in their diagrams, a novel connection in topological graph theory.
Findings
Derived a formula relating suspended tree structure to link components
Identified geometric properties influencing link diagram complexity
Enhanced understanding of tree-based link structures
Abstract
This paper provides a relationship between a geometric structure of a suspended tree and the number of link components of the associated link diagram.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Topological and Geometric Data Analysis