Multi-edge trees and 3-coloured Motzkin paths: bijective issues
Helmut Prodinger
TL;DR
This paper presents a bijective correspondence between multi-edge trees and 3-coloured Motzkin paths, providing a combinatorial link between these two structures.
Contribution
It introduces a new bijection connecting multi-edge trees with 3-coloured Motzkin paths, enriching the combinatorial understanding of these objects.
Findings
Establishes a bijection between multi-edge trees and 3-coloured Motzkin paths
Provides combinatorial insights into the structure of these objects
Potential applications in enumerative combinatorics
Abstract
A bijection is given between multi-edge trees and 3-coloured Motzkin paths.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Topological and Geometric Data Analysis · Geometric and Algebraic Topology