
REFERENCES

G. Brinkmann and Brendan McKay, in preparation. [Looking at http://users.cecs.anu.edu.au/~bdm/publications.html,there are a few papers with Brinkmann that seem relevant, in particular #126 but also #97, 81, 158. Perhaps the right one is 126.]
M. B. Dillencourt, Polyhedra of small orders and their Hamiltonian properties. Tech. Rep. 9291, Info. and Comp. Sci. Dept., Univ. Calif. Irvine, 1992.
C. F. Earl and L. J. March, Architectural applications of graph theory, pp. 327355 of R. J. Wilson and L. W. Beineke, editors, Applications of Graph Theory. Academic Press, NY, 1979.
B. Grünbaum, Convex Polytopes. Wiley, NY, 1967, p. 424.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

David Wasserman, Table of n, a(n) for n = 3..23
J. Bokowski and P. Schuchert, Equifacetted 3spheres as topes of nonpolytopal matroid polytopes, Discrete Comput. Geom. 13 (1995), no. 34, 347361.
R. Bowen and S. Fisk, Generation of triangulations of the sphere [Annotated scanned copy]
R. Bowen and S. Fisk, Generation of triangulations of the sphere, Math. Comp., 21 (1967), 250252.
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]
CombOS  Combinatorial Object Server, generate planar graphs
Aharon Davidson, From Planck Area to Graph Theory: Topologically Distinct Black Hole Microstates, arXiv:1907.03090 [grqc], 2019.
M. Deza, M. Dutour and P. W. Fowler, Zigzags, railroads and knots in fullerenes, J. Chem. Inf. Comput. Sci., 44 (2004), 12821293.
C. F. Earl and L. J. March, Architectural applications of graph theory, pp. 327355 of R. J. Wilson and L. W. Beineke, editors, Applications of Graph Theory. Academic Press, NY, 1979. (Annotated scanned copy)
P. J. Federico, Enumeration of polyhedra: the number of 9hedra, J. Combin. Theory, 7 (1969), 155161.
Komei Fukuda, Hiroyuki Miyata, and Sonoko Moriyama, Complete Enumeration of Small Realizable Oriented Matroids. Discrete Comput. Geom. 49 (2013), no. 2, 359381. MR3017917. Also arXiv:1204.0645 [math.CO], 2012.  From N. J. A. Sloane, Feb 16 2013
R. K. Guy, The Second Strong Law of Small Numbers, Math. Mag, 63 (1990), no. 1, 320. [Annotated scanned copy]
Lee Zheng Han and Chia Vui Leong, The Walk of Maximal Planar Graphs, 2018.
Paul Jungeblut, Edge Guarding Plane Graphs, Master Thesis, Karlsruhe Institute of Technology (Germany, 2019).
J. Lederberg, Dendral64, II, Report to NASA, Dec 1965 [Annotated scanned copy]
J. Lederberg, Hamilton circuits of convex trivalent polyhedra (up to 18 vertices), Am. Math. Monthly, 74 (1967), 522527.
J. Lederberg, Hamilton circuits of convex trivalent polyhedra (up to 18 vertices), Am. Math. Monthly, 74 (1967), 522527. (Annotated scanned copy)
F. H. Lutz, Triangulated manifolds with few vertices: Combinatorial Manifolds, arXiv:math/0506372 [math.CO], 2005.
G. P. Michon, Counting Polyhedra
Manfred Scheucher, Hendrik Schrezenmaier, and Raphael Steiner, A Note On Universal Point Sets for Planar Graphs, arXiv:1811.06482 [math.CO], 2018.
I. Sciriha and P. W. Fowler, Nonbonding Orbitals in Fullerenes: Nuts and Cores in Singular Polyhedral Graphs, J. Chem. Inf. Model., 47, 5, 1763  1775, 2007.
A. Stoimenow, A theorem on graph embedding with a relation to hyperbolic volume, Combinatorica, October 2016, Volume 36, Issue 5, pp 557589.
Thom Sulanke, Generating triangulations of surfaces (surftri), (also subpages).
William T. Tutte, A census of planar triangulations, Canad. J. Math. 14 (1962), 2138.
William T. Tutte, On the enumeration of convex polyhedra, J. Combin. Theory Ser. B 28 (1980), 105126.
Eric Weisstein's World of Mathematics, Cubic Polyhedral Graph
Eric Weisstein's World of Mathematics, Simple Polyhedron
Eric Weisstein's World of Mathematics, Triangulated Graph
Index entries for "core" sequences
