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A Census of Planar Triangulations
Open accessAbstract
Let P be a closed region in the plane bounded by a simple closed curve, and let S be a simplicial dissection of P. We may say that S is a dissection of P into a finite number α of triangles so that no vertex of any one triangle is an interior point of an edge of another. The triangles are ‘'topological” triangles and their edges are closed arcs which need not be straight segments. No two distinct edges of the dissection join the same two vertices, and no two triangles have more than two vertices in common.
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Citations
Cited by
Brézin, E., Itzykson, C., Parisi, G., & Zuber, J. B. (1978) · Communications in Mathematical Physics · doi:10.1007/bf01614153 · Cited by 1,479
Itzykson, C., & Zuber, J.-B. (1980) · Journal of Mathematical Physics · doi:10.1063/1.524438 · Cited by 961
Invariants of algebraic curves and topological expansion
Eynard, B., & Orantin, N. (2007) · Communications in Number Theory and Physics · doi:10.4310/cntp.2007.v1.n2.a4 · Cited by 744
Tutte, W. T. (1963) · Canadian Journal of Mathematics · doi:10.4153/cjm-1963-029-x · Cited by 685
Self-citationPlanar diagrams, two-dimensional lattice gravity and surface models
David, F. (1985) · Nuclear Physics B · doi:10.1016/0550-3213(85)90335-9 · Cited by 669
Metadata
- Authors
- Tutte, W. T.
- Venue
- Canadian Journal of Mathematics
- Publisher
- Canadian Mathematical Society
- Published
- 1962
- Volume
- 14
- Pages
- 21-38
- ISSN
- 0008-414X (ISSN-L)
- 1496-4279
- OpenAlex
- W1996008071
- Cited by
- 581
- References
- 0
- FWCI
- 5.50
- Type
- journal article
- Language
- en
- Open access
- bronze
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