Definition: In mathematics, a "zygomorphism" is a type of graph-theoretical concept that describes how two graphs can be transformed into each other. It's named after the German mathematician Otto Zeigler, who introduced this concept in 1985. A zygomyth is a transformation that changes one graph to another by replacing edges with new vertices and vice versa. The key property of zygomyths is that they preserve the number of edges between two graphs while changing their