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A205295 Number of connected 5-regular simple graphs on 2n vertices with girth at least 5. 9
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 90 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,16

REFERENCES

M. Meringer, Fast Generation of Regular Graphs and Construction of Cages. Journal of Graph Theory, 30 (1999), 137-146.

LINKS

Table of n, a(n) for n=0..16.

Jason Kimberley, Index of sequences counting connected k-regular simple graphs with girth at least g

M. Meringer, Tables of Regular Graphs

CROSSREFS

Connected k-regular simple graphs with girth at least 5: A185115 (k=2), A014372 (k=3), A058343 (k=4), this sequence (k=5).

Connected 5-regular simple graphs with girth at least g: A006821 (g=3), A058275 (g=4), this sequence (g=5).

Connected 5-regular simple graphs with girth exactly g: A184953 (g=3), A184954 (g=4), A184955 (g=5).

Sequence in context: A220318 A220341 A184955 * A292304 A218385 A189882

Adjacent sequences:  A205292 A205293 A205294 * A205296 A205297 A205298

KEYWORD

nonn,more,hard

AUTHOR

Jason Kimberley, Jan 25 2012

STATUS

approved

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Last modified February 20 08:44 EST 2019. Contains 320325 sequences. (Running on oeis4.)