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Abelian Cayley Graphs of Given Degree and Diameter 2 and 3

✍ Scribed by Vetrík, Tomáš

Book ID
121624188
Publisher
Springer Japan
Year
2013
Tongue
English
Weight
128 KB
Volume
30
Category
Article
ISSN
0911-0119

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✍ Heather Macbeth; Jana Šiagiová; Jozef Širáň; Tomáš Vetrík 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB

## Abstract For any __d__⩾5 and __k__⩾3 we construct a family of Cayley graphs of degree __d__, diameter __k__, and order at least __k__((__d__−3)/3)^__k__^. By comparison with other available results in this area we show that our family gives the largest currently known Cayley graphs for a wide ra