Geodesic
Boundary-type sets of strong product of directed graphs
Ars Mathematica Contemporanea, Tome 20 (2021) no. 2, pp. 275-288.

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Let D = (V, E) be a strongly connected digraph and let u and v be two vertices in D. The maximum distance md(u, v) is defined as md(u, v) = max {d→(u, v), d→(v, u)}, where d→(u, v) denotes the length of a shortest directed u-v path in D. This is a metric. The boundary, contour, eccentricity and periphery sets of a strongly connected digraph D with respect to this metric have been defined. The boundary-type sets of the strong product of two digraphs is investigated in this article.
DOI : 10.26493/1855-3974.2229.5f1
Keywords: Maximum distance, boundary-type sets, strongly connected digraph, strong product 
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Bijo S. Anand; Manoj Changat; Prasanth G. Narasimha-Shenoi; Mary Shalet Thottungal Joseph. Boundary-type sets of strong product of directed graphs. Ars Mathematica Contemporanea, Tome 20 (2021) no. 2, pp. 275-288. doi : 10.26493/1855-3974.2229.5f1. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2229.5f1/

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