Combinatorial Mathematics X: Proceedings of the Conference by C. C. Chen, N. Quimpo (auth.), Louis Reynolds Antoine Casse

By C. C. Chen, N. Quimpo (auth.), Louis Reynolds Antoine Casse (eds.)

Show description

Read or Download Combinatorial Mathematics X: Proceedings of the Conference held in Adelaide, Australia, August 23–27, 1982 PDF

Similar mathematics books

Extra info for Combinatorial Mathematics X: Proceedings of the Conference held in Adelaide, Australia, August 23–27, 1982

Sample text

A finite dihedral group is R-sequenceable if and only if its order is a multiple of 4, see [17]. The question as to which dihedral groups are sequenceable seems to be more difficult. The groups D 3 and D 4 of orders 6 and 8 respectively are not sequenceable. The groups Dn, 3 < n < 37, [10]. n odd, are sequenceable The groups Dp,p prime and p ~ I mod 4 are sequenceable [5]. Also, the groups Dp, p prime, p ~ 7 mod 8 and for which 2 belongs to the exponent ½(p-l) are sequenceable [10]. D 6 and D 8 are sequenceable.

3. increasing Now g ( 3 ) = 5 and It is possible, though that g(7) ) g(9). c(m, n) ~ C(p, q). If we consider C(m, I) + C(m + i, 0), then the smallest value of m for 45 which this implication is known to fail is m = 9. (a) Does C(m, I) ÷ C(m + I, 0) for 2 ~ m ( 8? The Petersen graph shows that C(9, I) ÷ C(lO, O) and this is because P is hypohamiltonlan. In other words, P is not hamiltonian but every vertex deleted subgraph of P is. (b) Does C(m - i) ÷ C(m + I, O) hypohamiltoniangraph if and only if there exists a of order m?

Koblitz, p-adic Numbers, p-adic Analysis, and Zeta Functions. (Springer, 1977). [i0] B. Mazur, Eigenvalues fields, ~ o c . S~pos. of Frobenius acting on algebraic varieties over finite Pure Math. 29 (1975), 231-261. M. Schmidt, Equations over Finite Fields, an Elementary Approach. Notes in Mathematics 536, Springer, (Lecture 1976). J. Schoof, Unpublished manuscript. T. Tate, The arithmetic of elliptic curves, Invent. Math. 23 (1974), 179-206. [14] E. Ughi, On the number of points of elliptic curves over a finite field and a problem of B.

Download PDF sample

Rated 4.37 of 5 – based on 19 votes