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Graph

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  Graph [ edit ] A graph with three vertices and three edges. In one restricted but very common sense of the term, [1] [2]  a  graph  is an  ordered pair   � = ( � , � )  comprising: � , a  set  of  vertices  (also called  nodes  or  points ); � ⊆ { { � , � } ∣ � , � ∈ � and � ≠ � } , a  set  of  edges  (also called  links  or  lines ), which are  unordered pairs  of vertices (that is, an edge is associated with two distinct vertices). To avoid ambiguity, this type of object may be called precisely an  undirected simple graph . In the edge  { � , � } , the vertices  �  and  �  are called the  endpoints  of the edge. The edge is said to  join   �  and  �  and to be  incident  on  �  and on  � . A vertex may exist in a graph and not belong to an edge.  Multiple edges , not allowed u...