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On strong geodeticity in the lexicographic product of graphs

AIMS Mathematics
The strong geodetic number of a graph and its edge counterpart are recent variations of the pioneering geodetic number problem. Covering every vertex and edge of $ G $, respectively, using a minimum number of vertices and the geodesics connecting them ...
S. Gajavalli, A. Berin Greeni
semanticscholar   +1 more source

Locally identifying coloring of strong product of graphs

Discrete Mathematics, Algorithms and Applications
A proper vertex coloring of a graph [Formula: see text] is said to be locally identifying (lid-coloring) if for any pair [Formula: see text] of adjacent vertices with distinct closed neighborhoods, the sets of colors in the closed neighborhoods of [Formula: see text] and [Formula: see text] are different.
R. Pavithra, T. Reji
openaire   +1 more source

On super 3-restricted edge connectivity of regular strong product graphs with girth at least four

2010 International Conference on Networking and Digital Society, 2010
Yingying Qin, Zhiping Xiong, Jingyu Wang
semanticscholar   +1 more source

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