combinatorics

-Convex Polyominoes by Semi-perimeter

arXiv:2607.12448

summary

The paper proposes a conjectured generating function for counting k‑convex polyominoes based on their semi‑perimeter.

Abstract

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

13 pages, 2 figures. Appeared in GASCom26 (3 minor typos corrected)

Topics & keywords

#polyomino enumeration#generating functions#k-convexity#semi-perimeter#asymptotic analysisk-convex polyominogenerating functionsemi-perimeterenumeration data