The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
A Census of Planar Maps
Open accessAbstract
In the series of "Census" papers, of which this is the fourth, we attempt to lay the groundwork of an enumerative theory of planar maps (12, 13, 14). The maps concerned are rooted in the sense that some edge is fixed as the root, and a positive sense of description and right and left sides are specified for it. This device simplifies the theory by ruling out the possibility of a map being symmetrical.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Whittaker, E. T., & Watson, G. N. (2021) · Cambridge University Press eBooks · doi:10.1017/9781009004091 · Cited by 6,850
(1916) · Nature · doi:10.1038/097298a0 · Cited by 2,636
A Census of Planar Triangulations
Tutte, W. T. (1962) · Canadian Journal of Mathematics · doi:10.4153/cjm-1962-002-9 · Cited by 581
Self-citationMathematical Recreations and Essays
(1905) · Nature · doi:10.1038/072364c0 · Cited by 389
Lefschetz, S. (1949) · Princeton University Press eBooks · doi:10.1515/9781400879946 · Cited by 237
Lefschetz, S. (1942) · Colloquium Publications - American Mathematical Society/Colloquium Publications · doi:10.1090/coll/027 · Cited by 220
Heawood, P. J. (1949) · Proceedings of the London Mathematical Society · doi:10.1112/plms/s2-51.3.161 · Cited by 219
Cited by
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
Frieze, A., & Karoński, M. (2015) · doi:10.1017/cbo9781316339831 · Cited by 576
From paths to blocks: New measures for street patterns
Barthelemy, M. (2017) · Environment and Planning B: Urban Analytics and City Science · doi:10.1177/0265813515599982 · Cited by 50
Metadata
- Authors
- Tutte, W. T.
- Venue
- Canadian Journal of Mathematics
- Publisher
- Canadian Mathematical Society
- Published
- 1963
- Volume
- 15
- Pages
- 249-271
- ISSN
- 0008-414X (ISSN-L)
- 1496-4279
- OpenAlex
- W2021355739
- Cited by
- 685
- References
- 7
- FWCI
- 3.58
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: A Census of Planar Maps. https://app.cochat.ai/papers/10.4153/cjm-1963-029-x
- The paper
- Tutte, W. T. (1963). A Census of Planar Maps. Canadian Journal of Mathematics. https://doi.org/10.4153/cjm-1963-029-x
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.