OFFSET
0,9
COMMENTS
The non-spanning edge-connectivity of a graph is the minimum number of edges that must be removed to obtain a disconnected or empty graph, ignoring isolated vertices.
LINKS
EXAMPLE
Triangle begins:
1
1
1 1
1 1 1 1
2 2 3 3 1
4 5 10 8 5 1 1
MATHEMATICA
csm[s_]:=With[{c=Select[Subsets[Range[Length[s]], {2}], Length[Intersection@@s[[#]]]>0&]}, If[c=={}, s, csm[Sort[Append[Delete[s, List/@c[[1]]], Union@@s[[c[[1]]]]]]]]];
edgeConnSys[sys_]:=If[Length[csm[sys]]!=1, 0, Length[sys]-Max@@Length/@Select[Union[Subsets[sys]], Length[csm[#]]!=1&]];
Table[Length[Union[normclut/@Select[Subsets[Subsets[Range[n], {2}]], edgeConnSys[#]==k&]]], {n, 0, 5}, {k, 0, Binomial[n, 2]}]//.{foe___, 0}:>{foe}
CROSSREFS
KEYWORD
nonn,tabf,more
AUTHOR
Gus Wiseman, Sep 03 2019
STATUS
approved