TL;DR
This paper explores the combinatorial relationship between ordered forests and grand-Dyck paths, highlighting their equinumerous nature due to the connection with ordered trees and Dyck paths.
Contribution
It establishes a new bijective correspondence between ordered forests and grand-Dyck paths starting with an upward step, expanding combinatorial understanding.
Findings
Ordered forests are equinumerous with grand-Dyck paths starting with an upward step.
The paper provides a combinatorial proof of this equinumerosity.
It links the enumeration of forests to well-known path structures.
Abstract
Since ordered trees and Dyck paths are equinumerous, so are ordered forests and grand-Dyck paths that start with an upwards step.
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Taxonomy
TopicsData Management and Algorithms