Combinatorial interpretations for identities using chromatic partitions
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 2, pp. 545-553
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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.
DOI :
10.21136/CMJ.2021.0542-19
Classification :
05A17, 11P82, 11P84
Keywords: integer partition; chromatic partition; Ferrers graph; partition identity
Keywords: integer partition; chromatic partition; Ferrers graph; partition identity
@article{10_21136_CMJ_2021_0542_19,
author = {Alegri, Mateus and Ferreira Santos, Wagner and Brito Silva, Samuel},
title = {Combinatorial interpretations for identities using chromatic partitions},
journal = {Czechoslovak Mathematical Journal},
pages = {545--553},
publisher = {mathdoc},
volume = {71},
number = {2},
year = {2021},
doi = {10.21136/CMJ.2021.0542-19},
mrnumber = {4263185},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0542-19/}
}
TY - JOUR AU - Alegri, Mateus AU - Ferreira Santos, Wagner AU - Brito Silva, Samuel TI - Combinatorial interpretations for identities using chromatic partitions JO - Czechoslovak Mathematical Journal PY - 2021 SP - 545 EP - 553 VL - 71 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0542-19/ DO - 10.21136/CMJ.2021.0542-19 LA - en ID - 10_21136_CMJ_2021_0542_19 ER -
%0 Journal Article %A Alegri, Mateus %A Ferreira Santos, Wagner %A Brito Silva, Samuel %T Combinatorial interpretations for identities using chromatic partitions %J Czechoslovak Mathematical Journal %D 2021 %P 545-553 %V 71 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0542-19/ %R 10.21136/CMJ.2021.0542-19 %G en %F 10_21136_CMJ_2021_0542_19
Alegri, Mateus; Ferreira Santos, Wagner; Brito Silva, Samuel. Combinatorial interpretations for identities using chromatic partitions. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 2, pp. 545-553. doi: 10.21136/CMJ.2021.0542-19
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