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A note on vulnerability in graphs of diameter five(II)

✍ Scribed by Cheng-de Xu


Book ID
107482257
Publisher
Chinese Electronic Periodical Services
Year
2005
Tongue
English
Weight
182 KB
Volume
9
Category
Article
ISSN
1007-6417

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Let vt(d, 2) be the largest order of a vertex-transitive graph of degree d and diameter 2. It is known that vt(d, 2)=d 2 +1 for d=1, 2, 3, and 7; for the remaining values of d we have vt(d, 2) d 2 &1. The only known general lower bound on vt(d, 2), valid for all d, seems to be vt(d, 2) w(d+2)Γ‚2x W(d