… weighted) network, … network and analytically relate local network measures such as node
degree or clustering coefficient to flow structures. In particular, we use these local measures to …

… mixing in networks, the tendency for vertices in networks to be connected to other vertices that
are like or unlike them in some way. We consider mixing … of measures of assortative mixing …

… Networks where most links are part of tightly-connected communities (ie… networks with
higher C have slower mixing times, but, as we will show, our evidence shows that these measures …

… We propose a local measure of assortativity r ( ℓ ) that captures the mixing pattern within
the local neighborhood of a given node of interest ℓ . Trivially, one could calculate the local …

… measure the mixing time of social graphs in a variety of real-world small to large-scale social
networks … We find that in many actual large-scale social networks, the mixing time is much …

… if the nodes in the network that have many connections tend to be … Here we measure mixing
patterns in a variety of networks and find that social networks are mostly assortatively mixed, …

… We study mixing patterns in networks, meaning the propensity … The phenomenon of assortative
mixing, whereby nodes prefer … , all of the networks are highly assortative by our measure, …

… network measures applied to this network. The node degree d and the average node degree
〈d〉nn highlight again the strongly mixing … made using other stretching measures (see, eg, …

… been used to measure contact networks in different settings … context to record high resolution
mixing patterns. To date, a … contact surveys and wireless sensor networks, both of which …

… measure for mixing of this type which we apply to a variety of networks, and also discuss the
implications for network … the formation of a giant component in assortatively mixed networks. …