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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.]
1.
The state of being adjacent or contiguous; contiguity; as, the adjacency of lands or buildings.
2.
That which is adjacent.
Sir T. Browne.
© Webster 1913.
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