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Cayley graphs of given degree and diameters 3, 4 and 5

✍ Scribed by Tomáš Vetrík

Book ID
118259331
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
184 KB
Volume
313
Category
Article
ISSN
0012-365X

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## 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