Pell graphs are defined on certain ternary strings as special subgraphs of Fibonacci cubes odd index. In this work the domination number, total 2-packing connected paired and signed number studied. Using integer linear programming, exact values some estimates for these numbers small obtained. Furthermore, theoretical bounds obtained graphs.

We present a study on the use of Pell hyperbolas in cryptosystems with security based discrete logarithm problem. Specifically, after introducing group structure over generalized (and also giving explicit isomorphisms classical hyperbolas), we provide parameterization both an algebraic and geometrical approach. The particular that propose appears to be useful from cryptographic point view becau...

In this paper, we show that there are solutions of degree r the equation Pell–Abel on some real hyperelliptic curve genus g if and only r>g. This result, which is known to experts, has consequences, seem be unknown experts. First, deduce existence a primitive k-differential an with unique zero order k(2g-2) for every (k,g)≠(2,2). Moreover, exists non Weierstrass point n modulo n>2g.