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Vertex-distinguishing proper edge colourings of some regular graphs

✍ Scribed by Janka Rudašová; Roman Soták

Book ID
108113854
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
185 KB
Volume
308
Category
Article
ISSN
0012-365X

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Aigner et al., proved that for the irregular coloring number c(G) of a simple 2-regular graph of order n the inequality c(G) < v'& + 0( 1) holds. Here it is shown that c(G) < & + 0( 1).

On the Vertex-Distinguishing Proper Edge
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✍ Cristina Bazgan; Amel Harkat-Benhamdine; Hao Li; Mariusz Woźniak 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 189 KB

We prove the conjecture of Burris and Schelp: a coloring of the edges of a graph of order n such that a vertex is not incident with two edges of the same color and any two vertices are incident with different sets of colors is possible using at most n+1 colors. 1999 Academic Press ## 1. Introducti