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On the diameter of reconfiguration graphs for vertex colourings

✍ Scribed by Marthe Bonamy; Matthew Johnson; Ioannis Lignos; Viresh Patel; Daniël Paulusma


Book ID
119236551
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
177 KB
Volume
38
Category
Article
ISSN
1571-0653

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On the diameters of commuting graphs
✍ S. Akbari; A. Mohammadian; H. Radjavi; P. Raja 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 200 KB

The commuting graph of a ring R, denoted by (R), is a graph whose vertices are all non-central elements of R and two distinct vertices x and y are adjacent if and only if xy = yx. Let D be a division ring and n 3. In this paper we investigate the diameters of (M n (D)) and determine the diameters of