$k$-Convex Polyominoes by Semi-perimeter

Andrew R. Conway; Anthony J. Guttmann

$k$-Convex Polyominoes by Semi-perimeter

Combinatorics 2026-07-14 v1 Mathematical Physics

Authors: Andrew R. Conway , Anthony J. Guttmann

Abstract

We give the conjectured solution for the generating function of $k$ -convex polyominoes, enumerated by semi-perimeter. The solution was obtained from the analysis of enumeration data that we generated.

Cite

@article{arxiv.2607.12448,
  title  = {$k$-Convex Polyominoes by Semi-perimeter},
  author = {Andrew R. Conway and Anthony J. Guttmann},
  journal= {arXiv preprint arXiv:2607.12448},
  year   = {2026}
}

Comments

13 pages, 2 figures. Appeared in GASCom26