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Strong Chromatic Index of Generalized Polygon Snake Graphs

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A strong edge-coloring of a graph G is a proper edge-coloring such that every color class induces a matching. In this paper, we discuss the strong chromatic index of a… Click to show full abstract

A strong edge-coloring of a graph G is a proper edge-coloring such that every color class induces a matching. In this paper, we discuss the strong chromatic index of a cycle on k vertices and use the result to calculate the strong chromatic index of ( m,n ) k -gon snake graphs which generalize the families of graphs referred to as the ( m,n ) triangle snake graphs and ( m,n ) quadrilateral snake graphs.

Keywords: snake graphs; chromatic index; strong chromatic; index generalized; generalized polygon

Journal Title: National Academy Science Letters
Year Published: 2020

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