Tutte, W. T. A census of Hamiltonian polygons. (English) Zbl 0105.17601 Can. J. Math. 14, 402-417 (1962). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 36 Documents Keywords:topology × Cite Format Result Cite Review PDF Full Text: DOI Online Encyclopedia of Integer Sequences: Number of rooted simplicial 3-polytopes with n+3 nodes; or rooted 3-connected triangulations with 2n+2 faces; or rooted 3-connected trivalent maps with 2n+2 vertices. Number of 3-edge-connected rooted cubic maps with 2n nodes and a distinguished Hamiltonian cycle. Number of rooted planar bridgeless cubic maps with 2n nodes. Number of rooted cubic maps with 2n nodes and a distinguished Hamiltonian cycle: (2n)!(2n+1)! / (n!^2*(n+1)!(n+2)!).