The FED algorithm's energy estimates on Henning-Yeo regular graphs never exceed the APS conjecture's predicted bound, so the tests find no violation.
Delete the following edges to get a quasi-complete graph H wk+2 k+1 : H wk+2 k+2 = Kk+2 − (k−3)/2[ i=0 {w2i+1w2i+2} ∪ {wkwk+2, wk+1wk+2}
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Testing APS conjecture on regular graphs
The FED algorithm's energy estimates on Henning-Yeo regular graphs never exceed the APS conjecture's predicted bound, so the tests find no violation.