noun, plural adjacencies.
Also, adjacence. the state of being adjacent; nearness.
Usually, adjacencies. things, places, etc., that are adjacent.
Radio and Television. a broadcast or announcement immediately preceding or following another.

1640–50; < Late Latin adjacentia. See adjacent, -ency

nonadjacency, noun, plural nonadjacencies. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
adjacent (əˈdʒeɪsənt)
1.  being near or close, esp having a common boundary; adjoining; contiguous
2.  maths
 a.  (of a pair of vertices in a graph) joined by a common edge
 b.  (of a pair of edges in a graph) meeting at a common vertex
3.  geometry the side lying between a specified angle and a right angle in a right-angled triangle
[C15: from Latin adjacēre to lie next to, from ad- near + jacēre to lie]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Computing Dictionary

adjacency definition

A relationship between two network devices, e.g. routers, which are connected by one media segment so that a packet sent by one can reach the other without going through another network device. The concept of adjacency is important in the exchange of routing information.
Adjacent SNA nodes are nodes connected to a given node with no intervening nodes. In DECnet and OSI, adjacent nodes share a common segment (Ethernet, FDDI, Token Ring).

The Free On-line Dictionary of Computing, © Denis Howe 2010
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Example sentences
What you get to know about people you don't know simply by accidental adjacency
  is astonishing.
Return an adjacency list representation of the graph.
The primary spatial relationships that one can model using topology are
  adjacency, coincidence, and connectivity.
Formally, a graph is a set of vertices and a binary relation between vertices,
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