Minimum strong radius of the strong product of paths

Shuyang Liu; Feng Li

doi:10.1117/12.2672193

28 March 2023 Minimum strong radius of the strong product of paths

Shuyang Liu, Feng Li

Proceedings Volume 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022); 1259711 (2023) https://doi.org/10.1117/12.2672193
Event: Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 2022, Nanjing, China

Abstract

D is a strong oriented graph, the strong distance sd(u, v) is the number of arcs of D containing u and v. For a vertex v of D, the strong eccentricity se (v) is the strong distance between v and a vertex farthest from v. The strong radius srad(D) is the minimum strong eccentricity among the vertices of D. The minimum strong radius srad(G) of a graph D is the minimum strong radius over all strong orientations of G. And G₁ G₂ denote the strong product of graphs G1 and G2 . In this paper, according to the order of paths we give the result of the minimum strong radius of the strong product of paths, and propose a new directed network design method.

Citation Download Citation

Shuyang Liu and Feng Li "Minimum strong radius of the strong product of paths", Proc. SPIE 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 1259711 (28 March 2023); https://doi.org/10.1117/12.2672193

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