Let G be a (p,q) graph in which the edges are labeled 1,2,3,...q so that the vertex sums are distinct, mod p, then G is called edge-graceful. J. Mitchem and A. Simoson introduced the concept of super edge-graceful graphs which is a stronger concept than edge-graceful for some classes of graphs. We show here some eulerian graphs are super edge-graceful, but not edge-graceful; and some are edge-graceful but not super edge-graceful. We show that Rosa's type condition for eulerian super edge-graceful graphs does not exist. Moreover, some conjectures are proposed.
展开▼
机译：设g是一个（p，q）图，其中边缘被标记为1,2,3，... q，使得顶点总和是不同的，mod p，然后g称为边缘优雅。 J. Mitchem和A. Simoson介绍了超优选的图表的概念，这是一个更强大的概念，而不是边缘优雅为某些阶段的图表。我们在这里展示一些欧拉图是超级优雅的，但不是优雅的;有些是优雅，但不是超级优雅。我们显示ROSA的欧拉超级优化图形的类型条件不存在。而且，提出了一些猜想。
展开▼
