A079564 Number of unlabeled connected simple graphs on n vertices with no induced subgraphs isomorphic to a P5 or complement of a P5 (P5 = path on 5 vertices.).
1, 1, 2, 6, 19, 78, 345, 1780, 10030, 62602, 429607, 3285435, 28623679, 296580989, 3897603006
Offset: 1
Links
- J. L. Fouquet, A Decomposition for a class of (P5,P5-bar)-free graphs, Discrete Math. 121 (1993) 75-83.
- V. Giakoumakis and I. Rusu, Weighted Parameters in (P5,P5-bar)-free graphs, Discrete Appl. Math. 80 (2-3) (1997) 255-261.
- F. Hüffner, tinygraph, software for generating integer sequences based on graph properties, version 39d0919.
Crossrefs
Cf. A385697 (not necessarily connected).
Extensions
Terms a(10)-a(15) added using tinygraph by Falk Hüffner, Jan 13 2016
Name clarified by Jim Nastos, Jul 07 2025