Strong radius and strong diameter of strong product of complete graphs

doi:10.3969/j.issn.1000-1565.2023.02.002

Abstract

Abstract: It is proved that the strong product of two non-trivial complete graphs is a complete graph and has strong orientation. And then the exact values of the minimum strong radius and the minimum strong diameter of the strong product of the complete graph are determined, and the ranges of the maximum strong diameter and the maximum strong radius are also given. Besides, the above conclusion is extended to strong products of multiple complete graphs.

Key words: complete graph, strong product, strong orientation, strong radius, strong diameter

CLC Number:

O157.5

LIU Shuyang,LI Feng,YIN Haoran. Strong radius and strong diameter of strong product of complete graphs[J]. Journal of Hebei University(Natural Science Edition), 2023, 43(2): 121-126.

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