image-factorizations of image-graphs Original Research Article

A image-graph is a graph whose vertices all have degrees in the set image. Such a graph is semiregular. An image-factorization of a graph G is a decomposition of G into image-factors. For d-regular simple graphs G we say for which x and r G must have an image-factorization with exactly x image-factors. We give similar results for image-simple graphs and for image-pseudographs. We also show that if image, then any image-multigraph (without loops) has an image-factorization, and we give some information as to the number of image-factors which can be found in an image-factorization.