#7853: block_and_cut_vertices is inconsistent when graph has one vertex
----------------------------+-----------------------------------------------
Reporter: jason | Owner: rlm
Type: defect | Status: new
Priority: major | Milestone: sage-4.3.1
Component: graph theory | Keywords:
Work_issues: | Author:
Upstream: N/A | Reviewer:
Merged: |
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Currently, block_and_cut_vertices says that the vertex in a single-vertex
graph is a cut vertex:
{{{
sage: Graph(1).blocks_and_cut_vertices()
([0], [0])
}}}
According to the definition of cut vertices given in the documentation of
the function, a cut vertex, when removed, increases the connected
components of the graph. Either that documentation should be changed to
mention a corner case, or (preferably), the above computation should look
like:
{{{
sage: Graph(1).blocks_and_cut_vertices()
([0], [])
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7853>
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