Some bounds of the generalized μ-scrambling indices of primitive digraphs with d loops

Abstract

Abstract In 2010, Huang and Liu introduced a useful parameter called the generalized μ-scrambling indices of a primitive digraph. In this paper, we give some bounds for μ-scrambling indices of some primitive digraphs with d loops and the digraphs attained the sharp upper bounds are provided.

Keywords

• Generalized μ-scrambling index
• Primitive digraph
• Bound
• Scrambling index