Geodesic
Arithmagons and Geometrically Invariant Multiplicative Integer Partitions
Jose A. Franco1 ; Joe Champion ; Jeffry W. Lyons ; Jose A. Franco ; Joe Champion ; Jeffry W. Lyons
1Department of Mathematics and Statistics University of North Florida
Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 1, pp. 87-95 
Jose A. Franco; Joe Champion; Jeffry W. Lyons; Jose A. Franco; Joe Champion; Jeffry W. Lyons. Arithmagons and Geometrically Invariant Multiplicative Integer Partitions. Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 1, pp. 87-95. http://geodesic.mathdoc.fr/item/AMUC_2016_85_1_a7/
@article{AMUC_2016_85_1_a7,
     author = {Jose A. Franco and Joe Champion and Jeffry W. Lyons and Jose A. Franco and Joe Champion and Jeffry W. Lyons},
     title = { Arithmagons and {Geometrically} {Invariant} {Multiplicative} {Integer} {Partitions}},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {87--95},
     year = {2016},
     volume = {85},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2016_85_1_a7/}
}
TY  - JOUR
AU  - Jose A. Franco
AU  - Joe Champion
AU  - Jeffry W. Lyons
AU  - Jose A. Franco
AU  - Joe Champion
AU  - Jeffry W. Lyons
TI  - Arithmagons and Geometrically Invariant Multiplicative Integer Partitions
JO  - Acta mathematica Universitatis Comenianae
PY  - 2016
SP  - 87
EP  - 95
VL  - 85
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AMUC_2016_85_1_a7/
ID  - AMUC_2016_85_1_a7
ER  - 
%0 Journal Article
%A Jose A. Franco
%A Joe Champion
%A Jeffry W. Lyons
%A Jose A. Franco
%A Joe Champion
%A Jeffry W. Lyons
%T Arithmagons and Geometrically Invariant Multiplicative Integer Partitions
%J Acta mathematica Universitatis Comenianae
%D 2016
%P 87-95
%V 85
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2016_85_1_a7/
%F AMUC_2016_85_1_a7

Voir la notice de l'article provenant de la source Comenius University

In this article, we introduce a formal denition for integral arithmagons. Informally, an integral arithmagon is a polygonal gure 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 xed number.