We present several basic results on ecg and use this parameter to prove that any connected graph G can be embedded as an induced subgraph of a graceful graph and as an induced subgraph of an eulerian graceful graph.

In this paper we define two new classes of polynomials associated with generalized Fibonacci polynomials. We call them h(x)-B-q-bonacci polynomials and incomplete h(x)-B-q-bonacci polynomials. We present some identities ...

A new extension of Fibonacci sequence which yields a nonlinear second order recurrence relation is defined. Some identities and congruence properties for the new sequence are obtained.

We present a comparison result to discuss the periodic boundary value problem for neutral differential equation with piecewise constant delay.