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 A079577 Number of unlabeled, connected graphs on n vertices that have no induced subgraph isomorphic to a bull, a P5 or a P5-bar. 1
 1, 1, 2, 6, 18, 67, 248, 1005, 4068, 16955, 71090, 302194, 1294752, 5598368, 24382450 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS 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 LINKS Table of n, a(n) for n=1..15. J. L. Fouquet, A Decomposition for a class of (P5,P5-bar)-free graphs, Discrete Math. 121 (1993) 75-83. F. Hüffner, tinygraph, software for generating integer sequences based on graph properties, version 6e0a59d. EXAMPLE O.........O |.........| .\......./ ..O-----O bull ...\.../ ....\./ .....O CROSSREFS Cf. A267602 (with additional "prime" requirement) Sequence in context: A173385 A057693 A053496 * A150078 A150079 A150080 Adjacent sequences: A079574 A079575 A079576 * A079578 A079579 A079580 KEYWORD more,nonn AUTHOR Jim Nastos, Jan 24 2003 EXTENSIONS a(10)-a(15) added using tinygraph by Falk Hüffner, Jan 15 2016 Definition corrected ("are prime" omitted) by Falk Hüffner, Jan 18 2016 STATUS approved

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Last modified May 26 16:43 EDT 2024. Contains 372840 sequences. (Running on oeis4.)