Unique path partitions: Characterization and Congruences
Christine Bessenrodt, J{\o}rn B. Olsson, James A. Sellers

TL;DR
This paper classifies unique path partitions and investigates their congruence properties, providing a comprehensive understanding of their structure and arithmetic behavior.
Contribution
It offers a complete classification of unique path partitions and analyzes the congruence properties of their enumeration function.
Findings
Complete classification of unique path partitions
Identification of congruence properties of the enumeration function
Insights into the arithmetic structure of these partitions
Abstract
We give a complete classification of the unique path partitions and study congruence properties of the function which enumerates such partitions.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · graph theory and CDMA systems
