The skew spectral radius and skew Randić spectral radius of general random oriented graphs.

Let G be a simple connected graph on n vertices, and let G σ be an orientation of G with skew adjacency matrix S (G σ). Let d i be the degree of the vertex v i in G. The skew Randić matrix of G σ is the n × n real skew symmetric matrix R S (G σ) = [ (R S) i j ] , where (R S) i j = − (R S) j i = (d i d j) − 1 2 if (v i , v j) is an arc of G σ , and (R S) i j = (R S) j i = 0 otherwise. The skew spectral radius ρ S (G σ) and the skew Randić spectral radius ρ R S (G σ) of G σ are defined as the spectral radius of S (G σ) and R S (G σ) respectively. In this paper we give upper bounds for the skew spectral radius and skew Randić spectral radius of general random oriented graphs. [ABSTRACT FROM AUTHOR]