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Related Publications
(3)
The Expected Number of Symmetries in Locally Restricted Trees II
Graph theory and its applications
The Enumeration of Trees by Height and Diameter
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The number of homeomorphically irreducible trees, and other species
The number of homeomorphically irreducible trees, and other species,10.1007/BF02559543,Acta Mathematica,Frank Harary,Geert Prins
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The number of homeomorphically irreducible trees, and other species
(
Citations: 38
)
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Frank Harary
,
Geert Prins
Journal:
Acta Mathematica  ACTA MATH
, vol. 101, no. 1, pp. 141162, 1959
DOI:
10.1007/BF02559543
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Citation Context
(10)
...The complete repertoire of unlabeled trees for any V has been enumerated analytically by Harary and Prins using a counting polynomial (
Harary and Prins 1959
)...
JANA GEVERTZ
,
et al.
In vitro RNA random pools are not structurally diverse: A computationa...
...enumeration theorems of Harary and Prins[
8
]...
...In [
8
], dual graphs are used in the analysis and in this work, we analyze the tree...
Teresa W. Haynes
,
et al.
A quantitative analysis of secondary RNA structure using domination ba...
...We state, for instance, the enumeration of identity trees (see [
7
]), and the question of determining the average size of the automorphism group in certain classes of trees (see [9, 10])...
...each vertex is assigned a positive integer weight, cf. Harary and Prins [
7
]) is given by...
Stephan G. Wagner
.
On an Identity for the Cycle Indices of Rooted Tree Automorphism Group...
...Since all small tree graphs up to 10 vertices have been exhaustively enumerated (
54
,55), we can use our substructure search algorithm to identify the occurrences of all distinct tree submotifs in rRNAs...
Samuela Pasquali
,
et al.
Modular RNA architecture revealed by computational analysis of existin...
...RAG's RNA motif libraries are derived from the exact enumeration formula [
12
,13] for (unlabeled) tree topologies and from computational enumeration techniques for dual graph topologies, which can represent both RNA tree and pseudoknot motifs [11]...
Daniela Fera
,
et al.
RAG: RNAAsGraphs web resource
References
(12)
On the notion of balance of a signed graph
(
Citations: 96
)
Frank Harary
Journal:
Michigan Mathematical Journal  MICH MATH J
, vol. 2, no. 1953, pp. 143146, 1954
The Number of Linear, Directed, Rooted, and Connected Graphs
(
Citations: 41
)
Frank Harary
Journal:
Transactions of The American Mathematical Society  TRANS AMER MATH SOC
, vol. 78, no. 2, 1955
The Dissimilarity Characteristic of Linear Graphs
(
Citations: 1
)
Frank Harary
,
Robert Z. Norman
Journal:
Proceedings of The American Mathematical Society  PROC AMER MATH SOC
, vol. 5, no. 1, 1954
The number of trees
(
Citations: 152
)
R. Otter
The dissimilarity characteristic of Husimi trees
(
Citations: 20
)
F. Harary
,
R. Z. Norman
Sort by:
Citations
(38)
A predictive model for secondary RNA structure using graph theory and a neural network
(
Citations: 3
)
Denise R Koessler
,
Debra J Knisley
,
Jeff Knisley
,
Teresa Haynes
Journal:
BMC Bioinformatics
, vol. 11, no. Suppl 6, pp. S2110, 2010
In vitro RNA random pools are not structurally diverse: A computational analysis
(
Citations: 15
)
JANA GEVERTZ
,
HIN HARK GAN
,
TAMAR SCHLICK
Published in 2008.
A quantitative analysis of secondary RNA structure using domination based parameters on trees
(
Citations: 8
)
Teresa W. Haynes
,
Debra J. Knisley
,
Edith Seier
,
Yue Zou
Journal:
BMC Bioinformatics
, vol. 7, no. 1, pp. 10811, 2006
On an Identity for the Cycle Indices of Rooted Tree Automorphism Groups
(
Citations: 1
)
Stephan G. Wagner
Journal:
The Electronic Journal of Combinatorics  Electr. J. Comb.
, vol. 13, no. 1, 2006
On the number of broadcast schemes in networks
Calin D. Morosan
Journal:
Information Processing Letters  IPL
, vol. 100, no. 5, pp. 188193, 2006