Combinatorial Proofs for Overpartitions and Two-Colored Partitions II

Andrews and El Bachraoui recently studied various two-colored integer partitions, including those related to two-colored partitions into distinct parts with constraints and overpartitions. Their work raised questions about the existence of combinatorial proofs for these results, which were partially addressed by the first author and Zou. This paper provides combinatorial proofs for the remaining results concerning two-colored partitions and overpartitions with constraints.

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Publication Details

Journal
The Electronic Journal of Combinatorics
Published
2026-04-23
DOI
https://doi.org/10.37236/14832
Primary Topic
graph theory and CDMA systems
Type
article
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article

Combinatorial Proofs for Overpartitions and Two-Colored Partitions II

Dandan Chen, J. B. Liu
The Electronic Journal of Combinatorics
graph theory and CDMA systems
article

Combinatorial Proofs for Overpartitions and Two-Colored Partitions II

Dandan Chen, J. B. Liu
article en

Abstract

Andrews and El Bachraoui recently studied various two-colored integer partitions, including those related to two-colored partitions into distinct parts with constraints and overpartitions. Their work raised questions about the existence of combinatorial proofs for these results, which were partially addressed by the first author and Zou. This paper provides combinatorial proofs for the remaining results concerning two-colored partitions and overpartitions with constraints.

The Electronic Journal of CombinatoricsVol. 33(2)
Shanghai University (CN)
Openalex Percentile: Top 100%
graph theory and CDMA systems
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