Document Type
Article
Publication Date
2016
Abstract
In this article, we introduce a formal definition for integral arithmagons. Informally, an 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.
Copyright Statement
This document was originally published in Acta Mathematica Universitatis Comenianae by Comenius University Press. Copyright restrictions may apply.
Publication Information
Franco, J. A.; Champion, J.; and Lyons, J. W.. (2016). "Arithmagons and Geometrically Invariant Multiplicative Integer Partitions". Acta Mathematica Universitatis Comenianae, 85(1), 87-95.