The Number of Rooted Convex Polyhedra
Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 99-102
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Let pij be the number of rooted convex polyhedra with i + 1 vertices and j + 1 faces. We express pij as a singly indexed summation whose terms decrease geometrically. From this we deduce that uniformly as max(i, j) → ∞.
Bender, Edward A.; Wormald, Nicholas C. The Number of Rooted Convex Polyhedra. Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 99-102. doi: 10.4153/CMB-1988-015-2
@article{10_4153_CMB_1988_015_2,
author = {Bender, Edward A. and Wormald, Nicholas C.},
title = {The {Number} of {Rooted} {Convex} {Polyhedra}},
journal = {Canadian mathematical bulletin},
pages = {99--102},
year = {1988},
volume = {31},
number = {1},
doi = {10.4153/CMB-1988-015-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-015-2/}
}
TY - JOUR AU - Bender, Edward A. AU - Wormald, Nicholas C. TI - The Number of Rooted Convex Polyhedra JO - Canadian mathematical bulletin PY - 1988 SP - 99 EP - 102 VL - 31 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-015-2/ DO - 10.4153/CMB-1988-015-2 ID - 10_4153_CMB_1988_015_2 ER -
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