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	Tree (graph theory) - Wikipedia, the free encyclopedia
		A tree is called a rooted tree if one vertex has been designated the root, in which case the edges have a natural orientation, towards or away from the root.
		Rooted trees, often with additional structure such as ordering of the neighbors at each vertex, are a key data structure in computer science; see tree data structure.
		The vertices of a labeled tree on n vertices are typically given the labels {1, 2,..., n}.
	en.wikipedia.org /wiki/Tree_(graph_theory) (467 words)

	E.W. Dijkstra Archive: On one of Cayley's theorems (EWD 677) (Site not responding. Last check: 2007-11-06)
		From a labeled tree with at least 2 nodes we can remove the leaf with the lowest number, together with the edge connecting it to the rest of the tree; the remaining graph is again a labeled tree.
		Because for a tree of N nodes the sequence is N-2 elements long, at least 2 values are missing; therefore that minimum missing value never equals the maximum node number, i.e.
		Hence, for a set of N labeled nodes, there is a one-to-one correspondence between the trees connecting these nodes and the sequences of N-2 node numbers.
	www.cs.utexas.edu /~EWD/transcriptions/EWD06xx/EWD677.html (621 words)

	Quantitative estimates of uptake and internal cycling of 14N-labeled fertilizer in mature walnut trees
		Trees were excavated, processed and analyzed after 6 years to determine total tree N content and labeled N recovery.
		Trees recovered 29.4% of the labeled N applied and, based on previous evidence, we assumed that tree accumulation of labeled N occurred entirely in the first year.
		Labeled N in the fruits and leaves harvested in the first year represented 26% of the total labeled N accumulated, and the remaining 74% of the labeled N accumulated that year was stored and used to support development of annual organs in subsequent years.
	heronpublishing.com /tree/summaries/volume18/a18-795.html (364 words)

	Math 304 ML: Binary trees
		A tree is defined recursively, and the data type of a tree reflects this fact.
		A binary tree is quite analogous to a list (with the empty tree the analogue of the nil list), except two successors are attached at each stage.
		In this case, the labels are 2-tuples of strings, consisting of a word and a definition.
	www.cwru.edu /artsci/math/alexander/math304/tree.html (966 words)

	Graph Theory Lecture Notes 7a (Site not responding. Last check: 2007-11-06)
		Prüfer coding and decoding are inverse operations, that means that there is a one-to-one correspondence between labeled trees with n vertices and Prüfer sequences of length n-2.
		In this tree growing algorithm, vertices that are added to the tree are labeled with their "distance" from the starting vertex s.
		At each step of the tree growing process, for each frontier edge e, calculate P(e) = dist[x] + wt(e), where x is the vertex of e that is in the tree (and therefore has been labeled) and wt(e) is the weight of edge e.
	www-math.cudenver.edu /~wcherowi/courses/m4408/gtaln7.html (416 words)

	FNR-4
		The tree measuring stick is used to estimate the number of board feet of lumber contained in a standing tree.
		Since the board foot is the most common unit of measurement used in estimating saw-timber-size trees, the tree measuring stick provides woodland owners a simple tool for making a woods inventory and for measuring trees to be harvested.
		Trees with dead or dying tops, with punky knots, holes or branch stubs along the stem or with a hollow base may be 20 to 60 percent defective.
	www.agcom.purdue.edu /AgCom/Pubs/FNR/FNR-4.html (1597 words)

	Trees
		Label the edges of the graph randomly using small positive integers for the weights.
		Spanning trees are constructed by network switches (which control data transfers between network segments) in order to prevent data from moving along cycles in the network.
		The root vertex of this tree is labeled with the division operator ("/").
	www.rwc.uc.edu /koehler/comath/32.html (1037 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		Since the tree's root is labeled, somewhere above this node there is necessarily a node labeled with a hypernym which applies to its descendant nouns, including those which are a descendant of this node.
		Because the tree is built in a binary fashion, when, e.g., three clusters should all be distinct children of a common parent, two of them must merge first, giving an artificial intermediate level in the tree.
		The tree they construct is also binary with some internal nodes which seem to be "artificial", but for evaluation purposes they disregard the tree structure and consider only the leaf nodes.
	nlp.fi.muni.cz /projekty/wnportal/ps/txt/300699.txt (3353 words)

	Tea Tree (Site not responding. Last check: 2007-11-06)
		Tea Tree oil is known by the botanical name of Melaleuca alternifolia (mela = fl, leuca = white, with alternating leaves, hence alternifolia) and the common name of narrow leaved paperbark tree (so named because it resembles strips of paper peeling from the entire height of the trunk).
		They came upon groves of trees thick with sticky aromatic leaves which when boiled produced a spicy tea (well-known to the native inhabitants) which came to be known as Tea Tree.
		Tea Tree oil which has a strong camphoraceous odor has probably been adulterated with large amounts of cineole and should not be used due to potential for skin irritation.
	www.cherylsherbs.com /Essential%20Oil%20Profile%20Tea%20Tree.htm (1217 words)

	Patching Up X-Trees (ResearchIndex) (Site not responding. Last check: 2007-11-06)
		Of particular interest is the question of determining whether a collection of quartet subtrees uniquely defines a parent tree.
		Here, we solve this question in the case where the collection of quartet trees is of minimal...
		49 Reconstructing the shape of a tree from observed dissimilari..
	citeseer.ist.psu.edu /496411.html (359 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		Prufer Decoding A Prufer sequence determines a labeled tree by: Let L be the ordered list of numbers 1, 2,..., n.
		So there is a one-to-one correspondence between labeled trees with n vertices and Prufer sequences of length n - 2.
		So the number of labeled trees is the number of sequences on length n - 2 with n labels, which by counting is n ^ (n - 2)
	www.cbu.edu /~yanushka/m405/n.3 (216 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		State a set of equivalences for a graph to be a tree.
		Construct a labeled tree from a Prufer sequence.
		Construct the labeled tree with Prufer sequence of (4, 0, 5, 2, 3, 4).
	www.cbu.edu /~yanushka/m405/v.2 (434 words)

	TVP Volume 38 Issue 2
		A random genealogical tree of n generations of a supercritical Galton-Watson branching process with generating function $h(s), h(0) = 0, h'(1) = A > 1$, is considered; the $t$th level of vertices of the tree corresponds to the particles of the $t$th generation.
		Edges of the tree are labelled by independent and identically distributed random variables $\{\xi _\alpha\}$ with distribution function $G(x) = {\bf P}\{ \xi _\alpha \leqq x\} $.
		The weight of the path from the root to a vertex of the $n$th level is defined as the sum of labels $\xi _\alpha $ of all the edges of this path.
	locus.siam.org /TVP/volume-38/art_1138035.html (234 words)

	LECTURE 1
		In this section we are about to grow trees from Petri nets and then relate these two types of trees.
		The root of the tree represents the initial marking M0 There exists an arc from node n1 to node n2 labeled xεΣU{λ}, iff M1[t>M2, where Mi is the marking represented by ni and lb(t)=x.
		Such a net is a safe labeled net with a unique start node (a node without incoming arcs), which is a marked place.
	www.cs.technion.ac.il /~myoeli/pub/ver_toc/lot_ch18.htm (802 words)

	Matchings and phylogenetic trees -- Diaconis and Holmes 95 (25): 14600 -- Proceedings of the National Academy of ...
		Label that pair's parent with the next available label (7 is put on the node ancestral to 1 and
		The inverse algorithm is simpler: replace the largest parent label by its children sibling pair.
		This is equivalent to a Hamiltonian path on the graph of Fig.
	www.pnas.org /cgi/content/full/95/25/14600 (2144 words)

	Publications G. Rozenberg
		Generalised DOL trees, Acta Cybernetica 12, 1-9 (with L. Kari, A. Salomaa), 1995.
		An introduction to dynamic labeled 2-structures, LNCS 711, 156-173, Springer Verlag (with A. Ehrenfeucht), 1993.
		Labeled 2-structures, LNCS 555, 268-282, Springer Verlag, 1991.
	www.liacs.nl /CS/TCS/pubrozenberg.html (8718 words)

	Dendrogram Tree
		Tree data may be read into ACEDB from the main ACEDB class window popup menu (under Phylogenetic Trees) as a "New Hampshire" formatted tree file (the standard Phylip format for trees, default file extension ".ph").
		The "interior" node labeling facility is especially useful for Taxonomy trees or for labeling subtree cuts ("subfamilies") of phylogenetic trees.
		The label of the currently active tree node may be copied to the system "clipboard" for pasting elsewhere in ACEDB (or in another application), by selecting "copy" in the dendrogram pop-up menu or by the usual system-specific defined manner.
	www.acedb.org /Software/whelp/Dendrogram.html (4803 words)

	Network Topology
		Tree branch: a branch of a graph that is part of a particular tree.
		A tree can be constructed by starting with all the nodes of the graph and then by adding branches one by one until the tree is complete.
		Using the process to grow a tree, the two voltage sources must be in the tree and the controlling current for the current-controlled voltage source must be in the cotree.
	venus.ece.ndsu.nodak.edu /ece/academics/courses/ee206/notes/cirtop.htm (2296 words)

	Part 1 Cultural Information - Orchard Establishment (Site not responding. Last check: 2007-11-06)
		The area underneath the trees is important in the development of an orchard.
		Once trees have been in the ground for 2 years, a combination of Sinbar plus diuron can be used, as well as glyphosate.
		Read the label carefully and be sure the material you are using is labeled to control your problem weed.
	tfpg.cas.psu.edu /part1/part11e.htm (2170 words)

	Re: recursively-defined tree
		Under your scheme, the edge label was a property of each child, which were recursively of the same form as the root.
		With this scheme, the edge label is a property of the link to the child, not the child itself, which makes sense, i think.
		A fellow named Martin Erwig has done some research on functional/inductive graph representations that might be of interest to you.
	www.talkaboutprogramming.com /group/comp.lang.ml/messages/6765.html (208 words)

	Object Oriented Design Specification (Site not responding. Last check: 2007-11-06)
		The system clears the initial Trees Topic screen and displays the first page of the Basic Concepts subtopic as shown in the figure in section 3.1.10.5.2 of the SRS document.
		The upper right side depicts the example tree in which each node is labeled with the unique sequence of numbers starting 1.
		Each node of a tree will be associated with a single interactive shape, but since there are multiple nodes in a tree, there are multiple interactive shapes associated with each tree.
	www.rh.edu /~heidic/oscar/oodesignv11/trees (1669 words)

	Binary Relations, Graphs, and Trees (Site not responding. Last check: 2007-11-06)
		If we consider any node in a tree, the nodes reachable from a given node are seen to form a tree in their own right.
		Note that whereas the empty list is somewhat meaningful for an unlabeled tree, if we permitted the convention of a non-leaf node with no children, it is not legitimate for a labeled tree, since there is no way to convey the label if the list is empty.
		If we omit, in the definition of tree, the condition “there is exactly one root”, thus allowing multiple roots (note that there will always be at least one root if the graph is acyclic), we would define the idea of a forest or set of trees.
	www.cs.hmc.edu /claremont/keller/webBook/ch02/sec07.html (2842 words)

	Full fault dictionary storage based on labeled tree encoding
		Two labeled trees are introduced to represent the diagnostic experiment.
		For the first tree, the unlabeled tree is stored using a binary string code, while the second tree is constructed so that the unlabeled tree is regular in structure, thus allowing implicit storage.
		Eight alternative representations based on the three label components are presented and two existing full fault dictionary representations (the matrix and the list dictionaries) are shown to be special cases in our general framework.
	csdl2.computer.org /persagen/DLAbsToc.jsp?resourcePath=/dl/proceedings/&toc=comp/proceedings/vts/1996/7304/00/7304toc.xml&DOI=10.1109/VTEST.1996.510854 (283 words)

	MINIMUM TREE ALIGNMENT (Site not responding. Last check: 2007-11-06)
		satisfying the triangle inequality, and a tree T of bounded degree whose leafs are labeled with the sequences S.
		The total alignment cost of the labeled tree, i.e., the sum over all edges (x,y) in the tree of the edit distance d(x,y) between the labels of the endpoints of the edge.
		Comment: Variation in which the tree is not given as an input and the objective is to find the tree with the minimum total alignment cost is called M
	www.f.kth.se /~viggo/wwwcompendium/node259.html (187 words)

	The Giving Tree
		You will research on the web to find products that are made from trees to find a solution for the small tree.Label the parts of a tree and create/design a page for a class book titled _The Giving Book_.
		You will label the parts of a tree and color the tree on a handout.
		You will plant a tree seed and you will take a nature hike and adopt a tree at school.
	teacherexchange.mde.k12.ms.us /teachnett/sanford.htm (373 words)

	untitled
		Many of the definitions are taken from The Trees of South Dakota, SDSU Circular 566.
		There are several labeled tree trails in South Dakota.
		Trees are Terrific, a Naturescope book from the National Wildlife Federation, Washington, D.C. 20036, grades K-6.
	www.northern.edu /natsource/TREESA1/Treegl1.htm (1157 words)

	A Unified Approach to Coding Labeled Trees (ResearchIndex) (Site not responding. Last check: 2007-11-06)
		Abstract: We consider the problem of coding labeled trees by means of strings of node labels and we present a unified approach based on a reduction of both coding and decoding to integer (radix) sorting.
		3 A parallel algorithm for constructing a labeled tree (context) - Wang, Chen et al.
		3 A new encoding for labeled trees employing a stack and a que..
	citeseer.ist.psu.edu /670812.html (390 words)

	Quantification of two-year-old hybrid poplar root systems: morphology, biomass, and 14C distribution
		Roots attached to each labeled tree were analyzed for morphological traits at the time of harvest.
		C labeling indicated that 24 ± 4% (± SD) of the carbon exported from branches—labeled within two weeks after branch budset—was translocated to the root system.
		C label indicated that from 0 (> 5 mm diameter roots) to 75% (< 2 mm diameter roots) of the roots recovered from within the 1-m
	heronpublishing.com /tree/summaries/volume8/a8-109.html (342 words)

	The National Arbor Day Foundation - We inspire people to plant, nurture, and celebrate trees.
		If you are a member, we'll also include a free red maple tree when you order trees from our tree store.
		Today’s children can find out about anything in the world on the Internet, but probably don’t know what kind of trees are in front of their houses....
		With each $5 donation, a tree will be planted in a national forest that has been damaged by fire, insect or disease, and you'll receive a beautiful Give-a-TreeTM card.
	arborday.org (362 words)

	Huffman Codes (Site not responding. Last check: 2007-11-06)
		Binary trees can be used in an interesting way to construct minimal length encodings for messages when the frequency of letters used in the messages is known.
		A special kind of binary tree, called a Huffman coding tree is used to accomplish this.
		To build the Huffman tree, we sort the frequencies into increasing order (4, 5, 7, 8, 12, 29).
	www.cs.uidaho.edu /~karenv/cs213/cs213.useful.pages/huffman.html (337 words)

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