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> [!definition] Definition. ([[degree centrality]])
> The **degree centrality** of a node in a [[network]] is its [[degree]].
> [!justification] Motivation.
> Although degree centrality is a simple centrality measure, it can be very illuminating. In a social network, for instance, it seems reasonable to suppose that individuals who have many friends or acquaintances might have more influence, more access to information, or more prestige than those who have fewer. A non-social network example is the use of citation counts in the evalu- ation of scientific papers. The number of citations a paper receives from other papers, which is its in-degree in the directed citation network, gives a quan- titative measure of how influential the paper has been and is widely used for judging the impact of scientific research. (Newman p.159)
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####
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#### 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
> ```