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A105206 Number of edges in a pancyclic graph on n+2 vertices with the fewest possible edges. 1
3, 5, 6, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26 (list; graph; refs; listen; history; internal format)
OFFSET

3,1

COMMENTS

A graph on n vertices is said to be pancyclic if there are cycles of each length 3, 4, ... n in the graph.

EXAMPLE

For n = 3 the answer is 3; each of the three vertices is connected to each other vertex, forming a 3-cycle. For n = 4 we find it takes five edges and for n = 5 it takes 6.

CROSSREFS

Different from A080036.

Sequence in context: A094058 A175966 A121882 * A080036 A165290 A026430

Adjacent sequences:  A105203 A105204 A105205 * A105207 A105208 A105209

KEYWORD

nonn

AUTHOR

John C. George (jgeorge(AT)gdn.edu), Walter D. Wallis (wdwallis(AT)siu.edu) and Alison Marr (marra(AT)southwestern.edu), Apr 12 2005.

EXTENSIONS

a(14) ... a(22) by Alison Marr, Aug 22 2011.

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Last modified February 16 21:04 EST 2012. Contains 205969 sequences.