Three Types Of The Original Generalized Scrambling To Figure And General Competition Index

In recent years,the generalized scrambling indices and the the generalized competitionindices of primitive digraphs is a hot content in the study of combinatorial mathematics. Itis an extension of the primitive digraphs with primitive exponent. It will have a wide rangeof practical applications in the communications and information background. In this paperwe research the scrambling index of a symmetric primitive digraph with loop,generalizedscrambling indices of primitive digraphs with three cycles and generalized competition indicesof primitive digraphs with three cycles.In chapter1, we especially introduce the research progress of the generalized scram-bling indices and the the generalized competition indices of primitive digraphs, some basicknowledge, relevant conclusions and the main conclusions.In chapter2, we research the scrambling index of a symmetric primitive digraph withloop.In chapter3, we study generalized scrambling indices of primitive digraphs with threecycles.In chapter4, we study generalized competition indices of primitive digraphs with threecycles.