Heights in finite projective space, and a problem on directed graphs.

Nathanson, Melvyn B.; Sullivan, Blair D.

Displaying similar documents to “Heights in finite projective space, and a problem on directed graphs.”

Self-complementary vertex-transitive undirected graphs

Bohdan Zelinka (1979)

Mathematica Slovaca

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Symmetry of iteration graphs

Walter Carlip, Martina Mincheva (2008)

Czechoslovak Mathematical Journal

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We examine iteration graphs of the squaring function on the rings $ℤ / n ℤ$ when $n = 2^{k} p$ , for $p$ a Fermat prime. We describe several invariants associated to these graphs and use them to prove that the graphs are not symmetric when $k = 3$ and when $k \geq 5$ and are symmetric when $k = 4$ .

Cycles of polynomial mappings in two variables over rings of integers in quadratic fields

T. Pezda (2004)

Open Mathematics

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We find all possible cycle-lengths for polynomial mappings in two variables over rings of integers in quadratic extensions of rationals.

On the Domination of Cartesian Product of Directed Cycles: Results for Certain Equivalence Classes of Lengths

Michel Mollard (2013)

Discussiones Mathematicae Graph Theory

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Let (−→ Cm2−→ Cn) be the domination number of the Cartesian product of directed cycles −→ Cm and −→ Cn for m, n ≥ 2. Shaheen [13] and Liu et al. ([11], [12]) determined the value of (−→ Cm2−→ Cn) when m ≤ 6 and [12] when both m and n ≡ 0(mod 3). In this article we give, in general, the value of (−→ Cm2−→ Cn) when m ≡ 2(mod 3) and improve the known lower bounds for most of the remaining cases. We also disprove the conjectured formula for the case m ≡ 0(mod 3) appearing in [12]. ...

Extensions of the Gauss-Wilson theorem.

Cosgrave, John B., Dilcher, Karl (2008)

Integers

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Applications of Jacobi's symbol to Lehmer's numbers

A. Rotkiewicz (1983)

Acta Arithmetica

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The cube of the Fermat quotient.

Dilcher, Karl, Skula, Ladislav (2006)

Integers

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On Obláth's problem.

Gica, Alexandru, Panaitopol, Laurenţiu (2003)

Journal of Integer Sequences [electronic only]

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