… We consider a generalization of Fiedler's notion of algebraic connectivity to directed graphs.
… remain valid for directed graphs and present properties peculiar to directed graphs. We …

… graph G, is symmetric, singular (all the row sums are zero) and positive semidefinite {Ä{G) =
UU^ where U is the (0, 1,-1) vertex-edge adjacency matrix of arbitrarily directed graph … graph …

… estimation of the bounds on algebraic connectivity for a directed graph (ie, digraph). As is …
approach to estimate the bounds on algebraic connectivity with mild requirement on topology …

… of algebraic connectivity of directed network. In this paper, algebraic connectivity of directed
graph … and affine transformation, algebraic connectivity of directed network can be estimated …

… algebraic connectivity is related to the singular values of the incidence matrix of the graph. …
; let G = (V, E) be the corresponding directed graph. To 6, we assign the incidence matrix C = (…

… In this paper, we study the algebraic connectivity of directed complex networks with scale-free
property. Algebraic connectivity of a directed graph is the eigenvalue of its Laplacian …

… graph G, best-known as the algebraic connectivity of G, denoted a(G). Emphasis is given on
classifications of bounds to algebraic connectivity as a function of other graph … in graphs and …

… the results on directed graphs, the bounds on the algebraic connectivity and … algebraic
connectivity and spectral radius of graphs. To do so, it is helpful to first consider a directed graph …

… algebraic connectivity of a symmetric Laplacian matrix. However, these methods cannot give
any lower bound of the algebraic connectivity … algebraic connectivity for undirected graphs …

… To prove the bound, we define two families of directed graphs—one containing only
acyclic graphs and one containing mostly graphs that are far from acyclic. We show that …