Forests of chord diagrams with a given number of trees
Huseyin Acan
TL;DR
This paper derives a formula for counting forests of chord diagrams with specified numbers of trees and chords, contributing to combinatorial enumeration in graph theory.
Contribution
It provides a new enumeration formula for forests of chord diagrams with fixed numbers of trees and chords.
Findings
Derived explicit enumeration formula
Extended combinatorial understanding of chord diagram forests
Applicable to graph theory and combinatorics
Abstract
In this short note, we find the number of forests of chord diagrams with a given number of trees and a given number of chords.
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Taxonomy
TopicsGraph Theory and Algorithms · Advanced Database Systems and Queries · Data Visualization and Analytics