graph: modular decomposition of a single vertex should be a single tree node #38301
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The modular decomposition tree computed by Sage for a graph with a single vertex is wrong (tested in Sage from 9.8-10.4.rc0)
Sage returns a tree with a
PRIME
root with a single child representing the vertex0
, but according to the recursive definition of a modular decomposition tree, it should be a single node tree (see Wikipedia for example)This PR fixes this issue. It is an easy fix, as the case of single vertex graphs was treated separately in the
modular_decomposition
method ofGraph
.Two doctests were modified to reflect this changes.
📝 Checklist
⌛ Dependencies