On the folding of graphs-theory and application

Abstract In this article, we recall the definition of graph folding in the sense of El-kholy and El-Esawy [El-kholy E, El-Esawy A. Graph folding of some special graphs. J Math Stat 2005;1(1):66–70.] and study the limit of folding of some graphs. Also we define the folding number and give a formula to compute the number of folding maps f :  P n  →  P n , where P n is a path with n edges. We also discuss application of folding from Orgami to buckling and high energy physics.