Enoch ios programming and swift

We show how the tau constant changes under graph oper- ations such as the deletion of an edge, the contraction of an edge into its end points, identifying any two vertices,

Finally, we give an example to show how the generalized zeta function can be applied to graphs to distinguish non-isomorphic graphs with the same Ihara-Selberg zeta

As a direct corollary of our results, a Dunkl harmonic function bounded below or above is actually constant, which extends the corresponding result of Gallardo and Godefroy for

As with subword order, the M¨obius function for compositions is given by a signed sum over normal embeddings, although here the sign of a normal embedding depends on the

Making use, from the preceding paper, of the affirmative solution of the Spectral Conjecture, it is shown here that the general boundaries, of the minimal Gerschgorin sets for

We show that a discrete fixed point theorem of Eilenberg is equivalent to the restriction of the contraction principle to the class of non-Archimedean bounded metric spaces.. We

In particular, we show that the q-heat polynomials and the q-associated functions are closely related to the discrete q-Hermite I polynomials and the discrete q-Hermite II

In [9] a free energy encoding marked length spectra of closed geodesics was introduced, thus our objective is to analyze facts of the free energy of herein comparing with the