WebDec 2, 2024 · A strong edge-coloring $\varphi$ of a graph $G$ assigns colors to edges of $G$ such that $\varphi (e_1)\ne \varphi (e_2)$ whenever $e_1$ and $e_2$ are at distance no more than 1. It is equivalent... WebNov 20, 2024 · Abstract A strong edge coloring of a graph is a proper edge coloring where the edges at distance at most 2 receive distinct colors. The strong chromatic index χ′ s ( G) of a graph G is the minimum number of colors used in a strong edge coloring of G.

Strong edge-coloring of cubic bipartite graphs: A counterexample

http://www.openproblemgarden.org/op/strong_edge_colouring_conjecture WebApr 1, 2013 · A {\em strong edge coloring} of a graph $G$ is a proper edge coloring in which every color class is an induced matching. The {\em strong chromatic index} $\chiup_{s ... matlab print variable in string

Strong Edge-Coloring of Sierpinski-like Graphs

WebNov 15, 2024 · A strong edge-coloring of a graph assigns colors to the edges of such that whenever and are at distance no more than 1. (This is equivalent to a proper vertex coloring of the square of the line graph.) The strong chromatic index of , denoted is the smallest number of colors that admits a strong edge-coloring. WebJun 6, 2014 · Strong edge-coloring of planar graphs 1. Introduction. A strong edge-coloring of a graph is a proper edge-coloring where every color class induces a matching,... 2. … WebIn graph theory, an edge coloring of a graph is an assignment of "colors" to the edges of the graph so that no two incident edges have the same color. For example, the figure to the right shows an edge coloring of a graph by the colors red, blue, and green. Edge colorings are one of several different types of graph coloring. matlab print table format