Article
Keywords:
integer partition; chromatic partition; Ferrers graph; partition identity
Summary:
We provide combinatorial interpretations for three new classes of partitions, the so-called chromatic partitions. Using only combinatorial arguments, we show that these partition identities resemble well-know ordinary partition identities.
References:
[1] Alegri, M.:
On new identities involving chromatic overpartitions. J. Ramanujan Soc. Math. Math. Sci. 7 (2020), 109-118.
Zbl 1448.05009
[6] Euler, L.:
De partitione numerorum, Caput XVI. Introductio in Analysin Infinitorum Leonardi Euleri Opera Omnia, Series Prima, Volumen Octavum. B. G. Teubner, Leipzig (1922), A. Krazer, F. Rudio Latin \99999JFM99999 48.0007.02.
MR 0016336