TY  - JOUR
A1  - Kuba, Markus
A1  - Panholzer, Alois
T1  - Tree evolution processes for bucket increasing trees
JF  - Discrete Mathematics
N2  - Bucket increasing trees are multilabelled generalizations of increasing trees, where each non-leaf node carries b labels, with a fixed integer. We provide a fundamental result, giving a complete characterization of all families of bucket increasing trees that can be generated by a tree evolution process. We also provide several equivalent properties, complementing and extending earlier results for ordinary increasing trees to bucket trees. Additionally, we state second order results for the number of descendants of label j, again extending earlier results in the literature.
KW  - Increasing trees
KW  - multilabelled trees
KW  - tree evolution processes
Y1  - 
U6  - http://dx.doi.org/https://doi.org/10.1016/j.disc.2023.113443
VL  - Vol. 346
IS  - Issue 7
SP  - 113443
ER  -