Arithmagons and Geometrically Invariant Multiplicative Integer Partitions
Acta Mathematica Universitatis Comenianae
Arithmagons, Graphs, Automorphism group, Partitions, Factorizations
In this article, we introduce a formal denition for integral arithmagons. Informally, an integral arithmagon is a polygonal figure with integer labeled vertices and edges in which, under a binary operation, adjacent vertices equal the included edge. By considering the group of automorphisms for the associated graph, we count the number of integral arithmagons whose exterior sum or product equals a fixed number.
Franco, J. A.; Champion, J.; and Lyons, J. W., "Arithmagons and Geometrically Invariant Multiplicative Integer Partitions" (2018). Mathematics Faculty Articles. 210.