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A003317 Number of unlabeled minimally 2-connected graphs with n nodes (also called "blocks").
(Formerly M0799)
10
1, 1, 2, 3, 6, 12, 28, 68, 184, 526, 1602, 5075, 16711, 56428, 195003, 685649, 2447882, 8850157, 32359428, 119492766, 445236635, 1672636369, 6331624545, 24138404479, 92640942148, 357805122286, 1390318899884, 5433781135206 (list; graph; refs; listen; history; text; internal format)
OFFSET
3,3
COMMENTS
The Pootheri references also contain the edge breakups for each term.
REFERENCES
A. M. Hobbs, A catalog of minimal blocks, J. Res. National Bureau Standards, B 77 (1973), 53-60.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Audace A. V. Dossou-Olory, Cut and pendant vertices and the number of connected induced subgraphs of a graph, arXiv:1910.04552 [math.CO], 2019.
A. M. Hobbs, A catalog of minimal blocks, J. Res. National Bureau Standards, B 77 (1973), 53-60. (Annotated scanned copy)
Hu, Guan Zhang; Liu, Guo Qing; Liu, Shi; He, Jian Ping; Enumeration of minimally 2-connected graphs by means of group theory, (Chinese) Acta Math. Appl. Sinica 12 (1989), no. 2, 164-173.
S. K. Pootheri, Counting classes of labeled 2-connected graphs, M.S. Dissertation, University of Georgia, 2000.
S. K. Pootheri, Counting classes of labeled 2-connected graphs, M.S. Thesis, University of Georgia, 2000. [Local copy]
S. K. Pootheri, Characterizing and counting classes of unlabeled 2-connected graphs, Ph. D. Dissertation, University of Georgia, 2000.
S. K. Pootheri, Characterizing and counting classes of unlabeled 2-connected graphs, Ph. D. Dissertation, University of Georgia, 2000. [Local copy]
CROSSREFS
Sequence in context: A073431 A273873 A337717 * A145062 A300323 A261230
KEYWORD
nonn,nice
AUTHOR
EXTENSIONS
More terms from Sridar K. Pootheri (sridar(AT)math.uga.edu), Feb 25 2000
STATUS
approved

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Last modified April 14 03:45 EDT 2024. Contains 371652 sequences. (Running on oeis4.)