## Abstract We investigate the properties of graphs whose automorphism group is the symmetric group. In particular, we characterize graphs on less than 2__n__ points with group __S~n~__, and construct all graphs on __n__ + 3 points with group __S~n~__. Graphs with 2__n__ or more points and group __
EXTREMAL PROBLEMS FOR GRAPHS WITH DIHEDRAL AUTOMORPHISM GROUP
β Scribed by Donald J. McCarthy
- Book ID
- 118717676
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 526 KB
- Volume
- 319
- Category
- Article
- ISSN
- 0890-6564
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract If __n__ is divisible by at least three distinct primes, the dihedral group __D~n~__ can be generated by three nonredundant, involuntary elements. We study the Cayley graphs resulting from such a presentation of __D~n~__ for several families of __n__ and for all admissible __n__ < 120.
## Abstract For a positive integer __n__ and a finite group __G__, let the symbols __e__(__G, n__) and __E__(__G, n__) denote, respectively, the smallest and the greatest number of lines among all __n__βpoint graphs with automorphism group __G__. We say that the Intermediate Value Theorem (IVT) hol