Stephen D. Lappano

activity

20122015

most citedProof of a conjecture on monomial graphs

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.CO2015★ 1 cited

Proof of a conjecture on monomial graphs

Xiang-dong Hou, Stephen D. Lappano, Felix Lazebnik

Let $e$ be a positive integer, $p$ be an odd prime, $q = p^{e}$ , and $F_{q}$ be the finite field of $q$ elements. Let $f, g \in F_{q} [X, Y]$ . The graph $G = G_{q} (f, g)$ is a biparti…

math.NT2014★ 1 cited

A note regarding permutation binomials over finite fields

Stephen Lappano

Let $f = a x + x^{r (q - 1) + 1} \in F_{q^{2}}^{*} [x], r \in {5, 7} .$ We give explicit conditions on the values $(q, a)$ for which $f$ is a permutation polynomials of $F_{q^{2}} .$

math.NT2013

Determination of a Type of Permutation Binomials over Finite Fields

Xiang-dong Hou, Stephen D. Lappano

Let $f=a\x+\x^{3q-2}\in\Bbb F_{q^2}[\x]$, where $a \in F_{q^{2}}^{*}$ . We prove that $f$ is a permutation polynomial of $F_{q^{2}}$ if and only if one of the following occurs: (i…

math.CO2012

A New Approach to Permutation Polynomials over Finite Fields, II

Neranga Fernando, Xiang-dong Hou, Stephen D. Lappano

Let $p$ be a prime and $q$ a power of $p$ . For $n \geq 0$ , let $g_{n, q} \in F_{p} [x]$ be the polynomial defined by the functional equation $\sum_{a\in\Bbb F_q}({\tt x}+a)^n=g_…