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Edge-Distinguishing Index of a Graph

✍ Scribed by Kalinowski, Rafał; Woźniak, Mariusz


Book ID
120788881
Publisher
Springer Japan
Year
2013
Tongue
English
Weight
236 KB
Volume
30
Category
Article
ISSN
0911-0119

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📜 SIMILAR VOLUMES


Vertex-distinguishing edge-colorings of
✍ P. Wittmann 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 755 KB

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).

Ramanujan Edge-Indexed Graphs
✍ Shahriar Mokhtari-Sharghi 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 362 KB

In this paper I study the spectrum of edge-indexed graphs. For any k, an explicit infinite family of k-regular finite Ramanujan edge-indexed graphs is given. Conditions for the grouping of this family are provided; fulfilling them would lead to an infinite family of k-regular Ramanujan graphs.