Physical Sciences and Mathematics Commons^™

Arithmagons, Jose Franco

Mathematics Colloquium Series

Arithmagons are polygonal graphs whose vertices and edges are numbered by natural numbers in such a way that the product of the labels of two adjacent vertices equals the label on the edge that connects them. During the talk, Franco will briefly explore the conditions for solvability. The remainder of the talk will focus on counting the number of arithmagons that can be constructed so that the multiplication of all the values on the edges equals a fixed natural number.