On the product (C-m)over-right-arrow circle times(h){(C-n)over-right-arrow, (C-n)over-left-arrow} and other related topics

摘要

Consider a labeled and strongly oriented cycle (C-m) over right arrow and a set Gamma = {(C-n) over right arrow, (C-n) over left arrow}, where (C-n) over right arrow, (C-n) over left arrow are two labeled and strongly oriented cycles with the same underlying graph and opposite orientations. Let h : E ((C-m) over right arrow) -> Gamma be any function that sends to every edge of (C-m) over right arrow either (C-n) over right arrow or (C-n) over left arrow. The main goal of this paper is to study the underlying graph of the product (C-m) over right arrow circle times(h)Gamma, where the product is defined as follows: