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A343464
The number of n-vertex graphs that are minimally non-Hamming-embeddable.
7
0, 0, 0, 1, 2, 0, 1, 1, 6
OFFSET
1,5
COMMENTS
For Hamming embeddability see A343463. Graph G is minimally non-Hamming-embeddable if G cannot be embedded, yet G\v is embeddable for all vertices v.
I conjecture (on admittedly weak evidence) that these graphs are always planar.
REFERENCES
D. E. Knuth, The Art of Computer Programming, Volume 4B (in preparation). Section 7.2.2.3 will contain an exercise devoted to this topic.
EXAMPLE
For n=5 the a(5)=2 graphs are C5 and K32.
CROSSREFS
Cf. A343463.
Sequence in context: A322838 A085496 A228748 * A225094 A350594 A295859
KEYWORD
nonn,more
AUTHOR
Don Knuth, Apr 16 2021
STATUS
approved