一个(p,q)-图G被称为是强(k,d)-算术图,如果存在一个由G的顶点集到模q的整数群Zq的单射,使得由相邻两顶点标号的和导出的边值为算术级数,k,k+d,......,k+(q-1)d,本文讨论了这类标号图的结构和一些性质.%A (p,q)-graph G is said to be strongly (k,d)-arithmetic if the vertex function f:V(G)→Zq is and injection from the vertices of G to the group of integers modulo q,such that the values of the edges obtained as the sums of the numbers assigned to their vertices,can be arranged in the arithmetic progression k,k+d,......,k+(q-1)d,in this paper we initiate a study on the structures of this labeled graph.
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机译：一个(p,q)-图G被称为是强(k,d)-算术图,如果存在一个由G的顶点集到模q的整数群Zq的单射,使得由相邻两顶点标号的和导出的边值为算术级数,k,k+d,......,k+(q-1)d,本文讨论了这类标号图的结构和一些性质.%A (p,q)-graph G is said to be strongly (k,d)-arithmetic if the vertex function f:V(G)→Zq is and injection from the vertices of G to the group of integers modulo q,such that the values of the edges obtained as the sums of the numbers assigned to their vertices,can be arranged in the arithmetic progression k,k+d,......,k+(q-1)d,in this paper we initiate a study on the structures of this labeled graph.
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