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updated the doctests
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src/sage/graphs/matching_covered_graph.py

Lines changed: 8 additions & 4 deletions
Original file line numberDiff line numberDiff line change
@@ -2057,8 +2057,7 @@ def maximal_barrier(self, vertex):
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sage: J = G.copy()
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sage: J.delete_vertices(B)
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sage: all(len(K)%2 != 0 for K in J.connected_components())
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...
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sage: all(len(K)%2 != 0 for K in J.connected_components(sort=True))
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True
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Let `B` be a maximal barrier in a matching covered graph `G` and let
@@ -2585,7 +2584,7 @@ def is_brace(self, coNP_certificate=False):
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sage: C = graphs.CycleGraph(6)
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sage: D = MatchingCoveredGraph(C)
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sage: D.is_brace(coNP_certificate=True)
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(False, [(0, 5, None), (2, 3, None)], {0, 1, 2})
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(False, [(1, 2, None), (5, 4, None)], {0, 1, 5})
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If the input matching covered graph is nonbipartite, a
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:exc:`ValueError` is thrown::
@@ -2825,7 +2824,12 @@ def is_brick(self, coNP_certificate=False):
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sage: K4 = graphs.CompleteGraph(4)
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sage: G = MatchingCoveredGraph(K4)
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sage: G.is_brick(coNP_certificate=True)
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sage: # K(4)
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(True, None, None)
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sage: # K(4) ⊙ K(3, 3) is nonbipartite but not a brick
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sage: H = graphs.MurtyGraph(); H.delete_edge(0, 1)
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sage: G = MatchingCoveredGraph(H)
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sage: G.is_brick(coNP_certificate=True)
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(False, [(5, 2, None), (6, 3, None), (7, 4, None)], {5, 6, 7})
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If the input matching covered graph is bipartite, a
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:exc:`ValueError` is thrown::

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