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Discrete Applied Mathematics, ISSN 0166-218X, 09/2019
Journal Article
by Li, SC and Wang, H and Wang, SJ
DISCRETE MATHEMATICS, ISSN 0012-365X, 06/2019, Volume 342, Issue 6, pp. 1564 - 1576
The sum of distances between all pairs of vertices (denoted by sigma(.) and called the Wiener index) and the number of subtrees (denoted by F(.) and called the... 
RATIOS | MATHEMATICS | EXTREMAL VALUES | WIENER INDEX | Tree | Subtree | Full binary tree | SUBTREES | Span | Distance | LARGEST NUMBER
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2019, Volume 359, pp. 107 - 120
In graph theory and its applications, trees, BC-trees, subtrees and BC-subtrees have been extensively studied. We introduce a generalization of the BC-tree,... 
Bethe tree | Dendrimer | α-subtree | α-subtree density | Generating function | Generalized Bethe tree
Journal Article
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2014, Volume 8862, pp. 459 - 471
Journal Article
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), ISSN 0302-9743, 2014, Volume 8786, pp. 146 - 155
Journal Article
ELECTRONIC JOURNAL OF COMBINATORICS, ISSN 1077-8926, 07/2018, Volume 25, Issue 3
We determine the maximum distance between any two of the center, centroid, and subtree core among trees with a given order. Corresponding results are obtained... 
MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | VALUES | SUBTREES
Journal Article
Journal of Combinatorial Optimization, ISSN 1382-6905, 11/2018, Volume 36, Issue 4, pp. 1118 - 1127
Journal Article
Leibniz International Proceedings in Informatics, LIPIcs, ISSN 1868-8969, 08/2018, Volume 117
Conference Proceeding
Journal of Graph Theory, ISSN 0364-9024, 08/2019, Volume 91, Issue 4, pp. 326 - 352
This article focuses on properties and structures of trees with maximum mean subtree order in a given family; such trees are called optimal in the family. Our... 
caterpillar | tree | subtree | mean subtree order | MATHEMATICS
Journal Article
Discrete Mathematics, ISSN 0012-365X, 06/2019, Volume 342, Issue 6, pp. 1564 - 1576
The sum of distances between all pairs of vertices (denoted by and called the Wiener index) and the number of subtrees (denoted by and called the subtree... 
Tree | Subtree | Full binary tree | Span | Distance
Journal Article
by Yang, Y and Liu, HB and Wang, H
ARS COMBINATORIA, ISSN 0381-7032, 07/2015, Volume 121, pp. 47 - 63
Topological indices of graphs and trees in particular have been vigorously studied in the past decade due to their many applications in different fields. Among... 
Subtree (BC-subtree) density | CHEMICAL STRUCTURES | Bethe tree | Dendrimer | NUMBER | Generating function | Generalized Bethe tree | REPRESENTATION | ENUMERATION | BC-subtree | GRAPHS | MATHEMATICS | WIENER | Subtree
Journal Article
Discussiones Mathematicae Graph Theory, ISSN 1234-3099, 08/2018, Volume 38, Issue 3, pp. 811 - 828
A subtree of a tree is a central subtree of if has the minimum eccentricity in the join-semilattice of all subtrees of . Among all subtrees lying in the... 
tree | 05C22 | central subtree | least central subtree | 05C05 | Tree | Central subtree | Least central subtree | LOCATION | MATHEMATICS
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 11/2019, Volume 361, pp. 232 - 245
Among many topological indices of trees the sum of distances ( ) and the number of subtrees ( ) have been a long standing pair of graph invariants that are... 
Tree | Subtree | Ratio | Wiener index | MATHEMATICS, APPLIED | VALUES | LARGEST NUMBER
Journal Article
SIAM Journal on Discrete Mathematics, ISSN 0895-4801, 2017, Volume 31, Issue 3, pp. 1732 - 1750
In analogy to other concepts of a similar nature, we define the inducibility of a rooted binary tree. Given a fixed rooted binary tree B with k leaves, we... 
Trees | Tanglegram | Subtrees | Caterpillar | Crossing number | Inducibility | Complete binary tree | caterpillar | crossing number | MATHEMATICS, APPLIED | complete binary tree | SHAPE | inducibility | tanglegram | subtrees | COMPARING TREES | MAXIMUM AGREEMENT SUBTREE | trees | GRAPHS
Journal Article
Journal of Graph Theory, ISSN 0364-9024, 01/2018, Volume 87, Issue 1, pp. 89 - 95
We show that a tree of order n has at most O(5n/4) nonisomorphic subtrees, and that this bound is best possible. We also prove an analogous result for the... 
extremal problem | trees | subtrees | nonisomorphic trees | 05C05 | MATHEMATICS
Journal Article
Discrete Mathematics, ISSN 0012-365X, 09/2019, p. 111671
Journal Article
Discrete Mathematics, Algorithms and Applications, ISSN 1793-8309, 02/2018, Volume 10, Issue 1
Journal Article
Expert Systems With Applications, ISSN 0957-4174, 01/2015, Volume 42, Issue 1, pp. 94 - 100
Most complex data structures can be represented by a tree or graph structure, but tree structure mining is easier than graph structure mining. With the... 
Compression | Frequent subtree | Data mining | CFMIS | Induced subtree | Maximal subtree | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Trees | Mining | Algorithms | Compressing | Data compression | Graphs | Compressed
Journal Article
Lecture Notes in Artificial Intelligence (Subseries of Lecture Notes in Computer Science), ISSN 0302-9743, 2004, Volume 3056, pp. 63 - 73
Tree structures are used extensively in domains such as computational biology, pattern recognition, XML databases, computer networks, and so on. One important... 
Rooted unordered tree | Frequent subtree | Closed subtree | Maximal subtree | Enumeration tree | closed subtree | enumeration tree | rooted unordered tree | maximal subtree | frequent subtree | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Conference Proceeding
IEEE/ACM Transactions on Computational Biology and Bioinformatics, ISSN 1545-5963, 6/2019, pp. 1 - 1
The maximum agreement subtree method determines the consensus of a collection of phylogenetic trees by identifying maximum cardinality subsets of leaves for... 
Fans | phylogenetic trees | consensus trees | Algorithms | RNA | Random access memory | Vegetation | agreement subtrees | Phylogeny | Kernel
Journal Article
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