Graphs with large maximum degree containing no odd cycles of a given length
✍ Scribed by Paul Balister; Béla Bollobás; Oliver Riordan; Richard H. Schelp
- Book ID
- 108395386
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 146 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
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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)Â2x W(d
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