通往图的双圈覆盖猜想的新途径

摘要

本文提出了一些新的方法以接近图的用圈二重覆盖边的猜想,通称图的双圈覆盖猜想.因20余年尚未解决而在图论中著名.从中,也提出了一些新的猜想.并论述了它们之间,以及它们与图的双圈覆盖猜想之间的关系.%This article provides a number of new ways to access the famous conjecture on the double covering of graphs by circuits which is still open for more than 20 years in posing a number of conjectures which look to have more approaches than what has been used for the double cover conjecture by circuits. The relationships among them are established.