In this paper, we completely describe the spectrum of the generalized Petersen graph P(n, k), thus adding to the classes of graphs whose spectrum is completely known.Expand

Using Burnside's lemma, we prove that the number of n-variable rotation symmetric Boolean functions is 2gn, where gn and φ is the Euler phi-function.Expand

We use an idea of Kou and Li [Appl. Math. Comp. 187 (2007), 1027-1032] and modify the approach of Parida and Gupta, obtaining yet another third-order method to approximate a solution of a nonlinear equation in a Banach space.Expand

Under mild conditions on $n,p$, we give a lower bound on the number of $n$-variable balanced symmetric polynomials over finite fields $GF(p)$, where $p$ is a prime number. The existence of nonlinear… Expand

We give some results towards the conjecture that are the only nonlinear balanced elementary symmetric polynomials over GF(2), where t and are any positive integers and X(d, n) = Σ1≤i 1<i 2<⋯<id ≤n x i 1 x i 2 ⋯ x id .Expand