Some Discussion On Crossing Number Problems On Surfaces And System Of Boolean Delay Equations

In thesis,we study problems of crossing numbers,which is an important subject of topo-logical graph theory. By planar presentation of orientable surfaces, we obtain the crossing number of Two-Maps on orientable surfaces.On the other hand,we discuss the system of Boolean delay equations, define a new seminorm of the solutions, do some discussion on the structural stabilities of solutions and finish the implementation of the algorithm on solving the system of equations.