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The minimum required number of colors for the edges of a given graph is called the chromatic index of the graph. For example, the edges of the graph in the illustration can be colored by three colors but cannot be colored by two colors, so the graph shown has chromatic index three.
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1. Chromatic index. The chromatic index χ′(G) of a graph G is the least number of colours needed to colour the edges of G so that any two edges that share a ...
Mar 2, 2015 · Color the edge {i,j} with color i+j (mod n). You should be able to show that no vertex has two incident edges of the same color.
The edge chromatic number, sometimes also called the chromatic index, of a graph G is fewest number of colors necessary to color each edge of G.
Duration: 3:36
Posted: Aug 8, 2022
Posted: Aug 8, 2022
The chromatic index of a graph G, denoted x'(G), is the minimum number of colors used among all colorings of G.
Aug 28, 2015 · The chromatic index of a graph χ0(G) is the minimum number of colours needed for a proper colouring of G. Definition 1.3. The degree of a ...
[PDF] The Chromatic Index of Ring Graphs - Rose-Hulman Scholar
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The chromatic index, denoted χ0(G), is the least number of colors required for an edge coloring of G. When we talk of a ring graph G, we mean a finite ...
Sep 14, 2020 · The chromatic index of the complete graph Kn is χ(Kn)={n−1n is evennn is odd.
Vizing has shown that if G is a simple graph with maximum vertex-degree ϱ, then the chromatic index of G is either ϱ or ϱ + 1. In this note we prove that ...