Network Statistics

Identifying critical financial networks of the DJIA: Toward a network‐based index

“…The task of measuring the structural similarity between graphs is a part of quantitative graph analysis [31]. Generally, there are two main categories in quantitative graph analysis for analyzing networks: Comparing and characterizing networks based on structural network statistics [32,33]. Here, we deal with graph comparisons where this task is often referred to as graph matching [34][35][36].…”

Multi-modal social networks for modeling scientific fields

“…relating |G| and |G 0 | to their maximal isomorphic sub-graph (see Corneil and Gotlieb 1970;Ullmann 1976), via a weighted minimal set of operations for transforming G into G 0 (Messmer and Bunke 1998) or via a portfolio of general statistical measures characterizing the network (centrality statistics, distance statistics etc.) (Brinkmeier and Schank 2005). However, we considered the systematic application of such techniques beyond the scope of our study and relied on a subjective assessment of a sufficient structural recall.…”

Computational analysis of structural properties of economic and financial networks

“…Here the denominator gives the total number of possible edges for a network with N nodes, which corresponds to a fully connected network. Further network statistics and advanced aspects can be found in, e.g., [31,132].…”