A319491 Number of minimal non-word-representable connected graphs on n vertices.

0, 1, 10, 47, 179

Offset

5,3

Comments

A simple graph G=(V,E) is word-representable if there exists a word w over the alphabet V such that letters x and y alternate in w iff xy is an edge in E. Word-representable graphs generalize several important classes of graphs.

Links

Table of n, a(n) for n=5..9.

Ozgur Akgun, Ian P. Gent, Sergey Kitaev, Hans Zantema, Solving computational problems in the theory of word-representable graphs, arXiv:1808.01215 [math.CO], 2018.

Sergey Kitaev, A comprehensive introduction to the theory of word-representable graphs, arXiv:1705.05924 [math.CO], 2017.

Example

The wheel graph W_5 is the only minimal connected graph on 6 vertices that is not word-representable.

Crossrefs

All non-word-representable connected graphs are in A290814.

Sequence in context: A281767 A323799 A213575 * A034443 A304626 A121075

Adjacent sequences: A319488 A319489 A319490 * A319492 A319493 A319494

Keyword

nonn,more

Author

Sergey Kitaev, Sep 20 2018

Status

approved