Adjacency is being next to each other. A graph (in the graph theoretical sense) describes an adjacency relation. If the term is used with routers it's because graph theory has useful applications in that area.

Ad"ja"cence (#), Ad*ja"cen*cy (#),[Cf. LL. adjacentia.]


The state of being adjacent or contiguous; contiguity; as, the adjacency of lands or buildings.


That which is adjacent.


Sir T. Browne.


© Webster 1913.

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