OFFSET
0,4
COMMENTS
A kernel of a clutter is the restriction of the edge set to all edges contained within some connected vertex set. A clutter partition is a set partition of the edge set using kernels.
LINKS
Gus Wiseman, Every Clutter Is a Tree of Blobs, The Mathematica Journal, Vol. 19, 2017.
EXAMPLE
The a(3) = 9 clutter partitions:
{{{1,2,3}}}
{{{1,3},{2,3}}}
{{{1,2},{2,3}}}
{{{1,2},{1,3}}}
{{{1,3}},{{2,3}}}
{{{1,2}},{{2,3}}}
{{{1,2}},{{1,3}}}
{{{1,2},{1,3},{2,3}}}
{{{1,2}},{{1,3}},{{2,3}}}
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Aug 02 2018
STATUS
approved