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Search: id:A079577
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A079577 Number of unlabeled, connected graphs on n vertices with are prime and have no induced subgraph isomorphic to a bull, a P5 or a P5-bar. +0
1
1, 1, 2, 6, 18, 67, 248, 1005, 4068 (list; graph; listen)
OFFSET

1,3

COMMENT

Bull = 4-path with a 5th vertex adjacent to the two middle vertices of the path P5 = path on 5 vertices P5-bar = complement of a P5 G prime iff G has no modules (or 'homogeneous sets')

REFERENCES

J. L. Fouquet, "A Decomposition for a class of (P5,P5-bar)-free graphs," Discrete Math. 121 (1993) 75-83

EXAMPLE

O.........O

|.........|

.\......./

..O-----O bull

...\.../

....\./

.....O

CROSSREFS

Sequence in context: A150077 A057693 A053496 this_sequence A150078 A150079 A150080

Adjacent sequences: A079574 A079575 A079576 this_sequence A079578 A079579 A079580

KEYWORD

more,nonn

AUTHOR

Jim Nastos (nastos(AT)gmail.com), Jan 24 2003

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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