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“…Graph theory plays an important and central role in many scientific and engineering fields in connection with the design and the analysis of algorithms such as for computer science, communication networks, coding theory and cryptography [1,2]. A distance in graph theory that is defined as the number of edges between two vertices in the shortest path, plays a central role in the fundamental understanding of the graph itself [3,4].…”

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“…Graph theory plays an important and central role in many scientific and engineering fields in connection with the design and the analysis of algorithms such as for computer science, communication networks, coding theory and cryptography [1,2]. A distance in graph theory that is defined as the number of edges between two vertices in the shortest path, plays a central role in the fundamental understanding of the graph itself [3,4].…”