On Parameters of Some Graphs from Finite Fields
β Scribed by I.E. Shparlinski
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 79 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
β¦ Synopsis
We generalize the construction of F. R. Chung of graphs from finite fields and estimate their parameters with the help of a new bound of exponential sums due to G. I. Perel'muter and the author.
π SIMILAR VOLUMES
We study vertex partitions of graphs according to some minormonotone graph parameters. Ding et al. [J Combin Theory Ser B 79(2) (2000), 221-246] proved that some minor-monotone parameters are such that, any graph G with (G) β₯ 2 admits a vertex partition into two graphs with parameter at most (G)-1.
By using results of coding theory, we give results on the number of solutions of some systems of diagonal equations over finite fields.
A Cayley graph Cay(G, S) of a group G is called a CI-graph if whenever T is another subset of G for which Cay(G, S) βΌ = Cay(G, T ), there exists an automorphism Ο of G such that S Ο = T . For a positive integer m, the group G is said to have the m-CI property if all Cayley graphs of G of valency m a
## Abstract We construct an incidence structure using certain points and lines in finite projective spaces. The structural properties of the associated bipartite incidence graphs are analyzed. These __n__ Γ __n__ bipartite graphs provide constructions of __C__~6~βfree graphs with Ξ©(__n__^4/3^ edges
## Abstract In this paper we study the Newton polygon of the __L__ βpolynomial __L__ (__t__) associate to the Picard curves __y__^3^ = __x__^4^ β 1,β__y__^3^ = __x__^4^ β __x__ defined over a finite field π½~__p__~ . In the former case we get a complete classification. In the latter case we obtai