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order(+Graph, ?Order)

Obtains a graph's order.
Graph
A graph.
Order
The order of the graph.

Description

Determines the number of vertices composing a graph variable.

Fail Conditions

Fails if Graph is not a graph variable or if Graph can not be constrained to have a vertex-set with a cardinality delimited by Order.

Examples

?- order(Graph,Order).
No.
 
?- V`::[]..[1,2,3], E`::[[1,2]]..[[1,2],[1,3],[2,1],[2,3],[3,1],[3,2]], dirgraph(G,V,E), order(G,0).
No.
 
?- V`::[]..[1,2,3], E`::[[1,2]]..[[1,2],[1,3],[2,1],[2,3],[3,1],[3,2]], dirgraph(G,V,E), order(G,4).
No.
 
?- V`::[]..[1,2,3], E`::[[1,2]]..[[1,2],[1,3],[2,1],[2,3],[3,1],[3,2]], dirgraph(G,V,E), order(G,Order).
V = V{cardinal([[1, 2] : 2, [3] : 3], Order{cardinal : _700, fd : [2, 3]}, _592, _593, _594, [], [], ['SUSP-_2645-susp'], ['SUSP-_2255-dead'])}
E = E{cardinal([[[1, 2]] : 1, [[1, 3], [2, 1], [2, 3], [3, 1], [3, 2]] : 6], Card{cardinal : _914, fd : [1 .. 6]}, _806, _807, _808, [], ['SUSP-_2655-susp'], [], ['SUSP-_1949-dead'])}
G = dirgraph(V{cardinal([[1, 2] : 2, [3] : 3], Order{cardinal : _700, fd : [2, 3]}, _592, _593, _594, [], [], ['SUSP-_2645-susp'], ['SUSP-_2255-dead'])}, E{cardinal([[[1, 2]] : 1, [[1, 3], [2, 1], [2, 3], [3, 1], [3, 2]] : 6], Card{cardinal : _914, fd : [1 .. 6]}, _806, _807, _808, [], ['SUSP-_2655-susp'], [], ['SUSP-_1949-dead'])})
Order = Order{cardinal : _700, fd : [2, 3]}
 
?- V`::[]..[1,2,3], E`::[[1,2]]..[[1,2],[1,3],[2,1],[2,3],[3,1],[3,2]], dirgraph(G,V,E), order(G,2).
V = [1, 2]
E = E{cardinal([[[1, 2]] : 1, [[2, 1]] : 2], Card{cardinal : _909, fd : [1, 2]}, _801, _802, _803, [], ['SUSP-_2957-dead', 'SUSP-_2650-susp'], [], ['SUSP-_3263-dead'])}
G = dirgraph([1, 2], E{cardinal([[[1, 2]] : 1, [[2, 1]] : 2], Card{cardinal : _909, fd : [1, 2]}, _801, _802, _803, [], ['SUSP-_2957-dead', 'SUSP-_2650-susp'], [], ['SUSP-_3263-dead'])})
 
?- V`::[]..[1,2,3], E`::[[1,2]]..[[1,2],[1,3],[2,1],[2,3],[3,1],[3,2]], dirgraph(G,V,E), order(G,3).
V = [1, 2, 3]
E = E{cardinal([[[1, 2]] : 1, [[1, 3], [2, 1], [2, 3], [3, 1], [3, 2]] : 6], Card{cardinal : _909, fd : [1 .. 6]}, _801, _802, _803, [], ['SUSP-_2650-susp'], [], ['SUSP-_1944-dead'])}
G = dirgraph([1, 2, 3], E{cardinal([[[1, 2]] : 1, [[1, 3], [2, 1], [2, 3], [3, 1], [3, 2]] : 6], Card{cardinal : _909, fd : [1 .. 6]}, _801, _802, _803, [], ['SUSP-_2650-susp'], [], ['SUSP-_1944-dead'])})