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A079457 Number of unlabeled and connected graphs which are Weakly Chordal. (G weakly chordal iff there are no induced cycles of size 5 or more in G nor in its complement.). +0
1
1, 1, 2, 6, 20, 103, 706, 7423, 116476 (list; graph; listen)
OFFSET

1,3

COMMENT

Also known as the "weakly triangulated" graphs. Contains the chordal and cochordal graphs and is contained in the class of Perfect graphs.

REFERENCES

R. Hayward, Weakly triangulated graphs, Journal Comb. Theory (Series B) 39 (1985) 200-208

R. Hayward, Generating Weakly Triangulated Graphs, Journal of Graph Theory 21 (1996) 67-69

R. Hayward, J. Spinrad, R. Sritharan, Weakly Chordal Graph Algorithms via Handles, Proc. 11th SODA (2000) 42-49

CROSSREFS

Sequence in context: A049379 A003094 A073964 this_sequence A079455 A052433 A078566

Adjacent sequences: A079454 A079455 A079456 this_sequence A079458 A079459 A079460

KEYWORD

more,nonn

AUTHOR

Jim Nastos (nastos(AT)gmail.com), Jan 13 2003

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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