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A111357 Numbers of planar triangulations with minimum degree 5 and without separating 3-cycles - that is 3-cycles where the interior and exterior contain at least one vertex. 0
1, 0, 1, 1, 3, 4, 12, 23, 73, 191, 649, 2054, 7209, 24963, 89376, 320133, 1160752, 4218225, 15414908, 56474453, 207586410, 764855802, 2825168619, 10458049611, 38795658003, 144203518881, 537031911877, 2003618333624, 7488436558647 (list; graph; refs; listen; history; text; internal format)
OFFSET

12,5

LINKS

Table of n, a(n) for n=12..40.

G. Brinkmann, CaGe.

Gunnar Brinkmann and Brendan McKay, plantri and fullgen programs for generation of certain types of planar graph.

Gunnar Brinkmann and Brendan McKay, plantri and fullgen programs for generation of certain types of planar graph [Cached copy, pdf file only, no active links, with permission]

G. Brinkmann and Brendan D. McKay, Construction of planar triangulations with minimum degree 5 , Disc. Math. vol 301, iss. 2-3 (2005) 147-163.

EXAMPLE

The icosahedron is the smallest triangulation with minimum degree 5 and it doesn't contain any separating triangles. Examples can easily be seen as 2D and 3D pictures using the program CaGe cited above.

CROSSREFS

Cf. A081621, A007894.

Sequence in context: A071332 A006791 A111358 * A081621 A073713 A291023

Adjacent sequences:  A111354 A111355 A111356 * A111358 A111359 A111360

KEYWORD

nonn

AUTHOR

Gunnar Brinkmann, Nov 07 2005

STATUS

approved

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Last modified July 4 10:57 EDT 2020. Contains 335446 sequences. (Running on oeis4.)