---- > [!definition] Definition. ([[assortative mixing by ordered characteristics]]) > Let $G$ be a [[network]], $S$ an [[poset|ordered set]] (e.g., $\mathbb{R}$), and consider some ordered characteristic $x:G \to S, i \mapsto x_{i}$ of the nodes of $G$ — (e.g., age or income). We say that $G$ **exhibits assortative mixing according to $x$** if the [[assortativity coefficient]] $r_{x} \in [-1,1]$ is positive and **disassortative mixing** if it is negative. ---- #### ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```