The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
On the Altitude of Nodes in Random Trees
Open accessAbstract
Let T n denote a tree with n nodes that is rooted at node r. (For definitions not given here see [4] or [10].) The altitude of a node u in T n is the distance α = α (u, T n) between r and u in T n. The width of T n at altitude is the number W k = W k(T n) of nodes at altitude in T n, where = 0, 1, …
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Citations
Cites
The Art of Computer Programming
Knuth, D. E. (1968) · Cited by 16,000
Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen
Pólya, G. (1937) · Acta Mathematica · doi:10.1007/bf02546665 · Cited by 1,009
(1973) · Elsevier eBooks · doi:10.1016/c2013-0-10826-4 · Cited by 834
Asymptotic Methods in Enumeration
Bender, E. A. (1974) · SIAM Review · doi:10.1137/1016082 · Cited by 440
The distance between nodes in recursive trees
Moon, J. W. (1974) · Cambridge University Press eBooks · doi:10.1017/cbo9780511662072.019 · Cited by 70
Self-citationThe distance between points in random trees
Meir, A., & Moon, J. W. (1970) · Journal of Combinatorial Theory · doi:10.1016/s0021-9800(70)80012-6 · Cited by 42
Self-citationOn the Distribution of the Number of Vertices in Strata of a Random Tree
Stepanov, V. E. (1969) · Theory of Probability and Its Applications · doi:10.1137/1114007 · Cited by 27
Cited by
Combinatorial Stochastic Processes
(2006) · Lecture Notes in Mathematics · doi:10.1007/b11601500 · Cited by 935
Frieze, A., & Karoński, M. (2015) · doi:10.1017/cbo9781316339831 · Cited by 576
Flajolet, P., & Odlyzko, A. M. (2007) · Lecture Notes in Computer Science · doi:10.1007/3-540-46885-4_34 · Cited by 274
Metadata
- Authors
- Meir, A., & Moon, J. W.
- Venue
- Canadian Journal of Mathematics
- Publisher
- Canadian Mathematical Society
- Published
- 1978-10-01
- Volume
- 30
- Issue
- 5
- Pages
- 997-1015
- ISSN
- 0008-414X (ISSN-L)
- 1496-4279
- OpenAlex
- W1983188796
- Cited by
- 360
- References
- 7
- FWCI
- 5.10
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Meir, A., & Moon, J. W. (1978). On the Altitude of Nodes in Random Trees. Canadian Journal of Mathematics. https://doi.org/10.4153/cjm-1978-085-0
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.
