An orientation of an undirected graph G is assignment exactly one direction to each edge . Converting two-way traffic networks one-way and bidirectional communication unidirectional are practical instances orientations. In these contexts minimising the diameter resulting oriented prime interest. The n -star network topology was proposed as alternative hypercube for multiprocessor systems by Ake...

We investigate a semilinear time-fractional damped wave equation in one dimension, posed bounded interval. The considered involves convection term and singular potentials on extremity of the A Dirichlet boundary condition depending time-variable is imposed. Using nonlinear capacity estimates, we establish sufficient conditions for nonexistence weak solutions to problem. In particular, when inde...

This paper deals with the Cauchy problem and Neumann initial boundary value for a quasilinear diffusion equation nonlocal Fisher-KPP type reaction terms. We establish uniform boundedness global existence of solutions to problems by using multipliers technique modified Moser's iteration argument some ranges parameters. Moreover, parameters have similar structure that classical critical Fujita ex...