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Showing papers on "Tree (data structure) published in 1977"


Journal ArticleDOI
TL;DR: A computer program, ADDTREE, for the construction of additive trees is described and applied to several sets of data, and some empirical and theoretical advantages of tree representations over spatial representations of proximity data are illustrated.
Abstract: Similarity data can be represented by additive trees. In this model, objects are represented by the external nodes of a tree, and the dissimilarity between objects is the length of the path joining them. The additive tree is less restrictive than the ultrametric tree, commonly known as the hierarchical clustering scheme. The two representations are characterized and compared. A computer program, ADDTREE, for the construction of additive trees is described and applied to several sets of data. A comparison of these results to the results of multidimensional scaling illustrates some empirical and theoretical advantages of tree representations over spatial representations of proximity data.

594 citations


Journal ArticleDOI
TL;DR: It is shown that a straightforward generalization of the Sankoff algorithm will provide a solution to the tree-to-tree editing problem and it follows that the algorithm must be optimal over a wide class of computation models.

456 citations


Proceedings ArticleDOI
04 May 1977
TL;DR: A key idea is the construction of a number representation behaving as described above, which can be used to model the propagation of modifications in the B-tree along the finger path, with the advantage that access is cheap in the neighborhood of each finger.
Abstract: We present a new data structure for maintaining a set of records in a linear list according to their key values. This data structure has the property that we can keep a number of fingers at points of interest in the key space (e.g., the beginning or the end of the list), so that access and modification in the neighborhood of a finger is very efficient. In the Section 2 we discuss the general structure of our B-tree. Since we propose to search the tree from a leaf upwards, additional links need to be introduced. In Section 3 we show how to obtain our result for the case of one finger. A key idea is the construction of a number representation behaving as described above, which we can use to model the propagation of modifications in the B-tree along the finger path. In Section 4 we generalize the structure so that several fingers in the key space can be maintained, with the advantage that access is cheap in the neighborhood of each finger. Finally in Section 5 we present some implementation notes and applications, mostly to sorting.

181 citations


Journal ArticleDOI
TL;DR: Several “Mezei-and-Wright-like” results are obtained which relate the context-free tree languages to recognizable tree languages and to nondeterministic recursive program(scheme)s (called by value and called by name).

151 citations


Proceedings Article
22 Aug 1977
TL;DR: The control structure of the JPL research robot and the operations of the navigation subsystem are discussed and the results of scene analysis are used to create a segmented terrain model in which surface regions are classified by traversibility.
Abstract: The control structure of the JPL research robot and the operations of the navigation subsystem are discussed The robot functions as a network of interacting concurrent processes distributed among several computers and coordinated by a central executive The results of scene analysis are used to create a segmented terrain model in which surface regions are classified by traversibility The model is used by a path-planning algorithm, PATH, which uses tree search methods to find the optimal path to a goal In PATH, the search space is defined dynamically as a consequence of node testing Maze-solving and the use of an associative data base for context-dependent node generation are also discussed Execution of a planned path is accomplished by a feedback guidance process with automatic error recovery

144 citations


Journal ArticleDOI
TL;DR: A good algorithm is analyzed for deciding if one tree is a subtree of another tree, and the total number of computations is $O(nm^{1.5})$ or better, depending on how good an algorithm one has for a maximal matching in a bipartite graph.
Abstract: A good algorithm is analyzed for deciding if one tree is a subtree of another tree. If both trees are rooted, the smaller tree has n vertices and the larger has m vertices; then the total number of computations is $O(nm^{1.5})$ or better, depending on how good an algorithm one has for a maximal matching in a bipartite graph.

120 citations


Book
01 Jan 1977
TL;DR: A new study shows that considerable amounts of carbon can betransferred between trees -- in either direction -- through these symbiotic fungal networks, and if one tree is in the shade, it will receive increased amounts ofcarbon.
Abstract: The roots of trees such as the Douglas fir or birch can be colonized by many fungal species, toform so-called ‘ectomycorhizza’ These symbiotic fungal networks can extend from tree to tree,and a new study shows that considerable amounts of carbon can betransferred between trees --in either direction -- through these networks Moreover, if one tree is in the shade, it willreceive increased amounts of carbon

100 citations


Journal ArticleDOI
31 Mar 1977-Nature

59 citations


Journal ArticleDOI
TL;DR: The paper describes the methods used for analyzing a situation and for modifying unsuccessful plans and some results found by the program.

58 citations


Journal ArticleDOI
TL;DR: In this article, a tree formed by grounding will be called "a grounding tree", since the formation of a tree under ac voltages is considered to be due to the repetition of charging and discharing, some relationship may exist between the ac tree and the grounding tree.
Abstract: Although the dc-tree-initiation voltage at a needle electrode in a plastic is very high, a tree can be formed by grounding the needle after charging it with a much lower dc voltage than the tree-initiation voltage. The tree formed by grounding will be called "a grounding tree". Since the formation of a tree under ac voltages is considered to be due to the repetition of charging and discharing, some relationship may exist between the ac tree and the grounding tree. The tree-initiation observed with a voltage composed of dc and ac shows that it is caused by a nearly constant value of the ac component, irrespective of the magnitude of the dc component. This also indicates that the mechanism of the intiation of an ac tree and that of a grounding tree are similar. An explanation is also given as to why the tree shape is branch-like or bush-like with ac voltages.

47 citations


Journal ArticleDOI
TL;DR: The multiple-attribute-tree (MAT) data-base organization is modeled and analyzed and average retrieval time per query is obtained using a statistical estimation procedure and computationally efficient cost equations are presented.
Abstract: The multiple-attribute-tree (MAT) data-base organization is modeled and analyzed. Average retrieval time per query is obtained using a statistical estimation procedure and computationally efficient cost equations are presented. These cost equations are validated using a small experimental data base. Several real-life and generated data bases are used to demonstrate the effectiveness of the multiple-attribute-tree organization in reducing the expected retrieval time per query over conventional methods.

Journal ArticleDOI
TL;DR: The problem of fault detection and location in tree networks of two input EXCLUSIVE-OR (EOR) gates is considered and constructive upper bounds are obtained for the number of tests to detect multiple faults.
Abstract: The problem of fault detection and location in tree networks of two input EXCLUSIVE-OR (EOR) gates is considered. The fault model assumes that an EOR gate can change to any other function of its two inputs except the equivalence function. An efficient procedure for single fault location is presented. In the worst case the number of tests necessary to locate single faults is bounded by a linear function of the number of input variables. Constructive upper bounds are obtained for the number of tests to detect multiple faults. Optimality of these bounds is argued and extension of results to other types of networks is considered.


Journal ArticleDOI
TL;DR: The computerized correcting process is presented as a heuristic tree search and has the highest error correction accuracy to date.
Abstract: An automatic method for correcting spelling and typing errors from teletypewriter keyboard input is proposed. The computerized correcting process is presented as a heuristic tree search. The correct spellings are stored character-by-character in a psuedo-binary tree. The search examines a small subset of the database (selected branches of the tree) while checking for insertion, substitution, deletion and transposition errors. The correction procedure utilizes the inherent redundancy of natural language. Multiple errors can be handled if at least two correct characters appear between errors. Test results indicate that this approach has the highest error correction accuracy to date.


Journal ArticleDOI
TL;DR: Whereas physiological research on stress was originally the exclusive province of medicine and psychology, stress responses have also been of interest to zoologists for some years, because they can contribute to an understanding of self-regulation in mammal ian populations.
Abstract: \"S t ress\" is an ancient and familiar English noun, but its meaning in current usage is not at all widely understood. The term has long been in use in mechanics, denoting a force that acts on an object and brings about a transient or permanent change in its shape; this change is called \"s t ra in\" . It is in just this sense that \"s t ress\" is usually used in psychology and sociology. In 1915 Cannon introduced the term into physiology with a corresponding meaning: stress is a stimulus that acts on an organism so as to \" s t r a in\" its ability to resist. A contrasting definition was given by the physiologist Selye, who brought the notion of stress into general populari ty; he called the stimulus acting on an organism the \"s t ressor\" and reserved the term \"s t ress\" for the change in the state of the individual thus produced. To every stressor (whether physical or psychological in nature), according to Selye, the organism adjusts by means of a great number of nervous and hormonal changes which act to increase the resistance of the organism; together, these are termed the \"Genera l Adaptat ion Syndrome (GAS)\". Selye regarded the reaction of an organism to such an imposed stimulus as particularly characterized by a more or less marked ac t iva t ion-cor responding to the intensity of the s t r e s s o r o f the hypophyseal-adrenocortical axis; the term \"s t ress\" thus is usually used as a synonym for \"adrenal-cortex act ivat ion\" (for a survey see Selye, 1950). Whereas physiological research on stress was originally the exclusive province of medicine and psychology (see summaries in, e.g., Lazarus, 1966), stress responses have also been of interest to zoologists for some years, because they can contribute to an understanding of self-regulation in mammal ian populations. According to a concept proposed in 1950 by Christian, increasing population density leads to changes in social relationships which result in a corresponding increase in stress, to which the animals adapt with hormonal changes. These adaptat ion reactions are primarily characterized by increased activation of the

01 Jan 1977
Abstract: This research is concerned with the development of metaphorical ability, conceived of as the ability to preserve conceptual relationships across changes in actual content. This view of metaphorical ability does not distinguish between analogy, metaphor and simile, but focuses rather on what I believe to be their common core. I define a metaphor or analogy as a mapping from one semantic region (the domain of origin) to another (the range of application) which conveys that certain semantic or conceptual relationships present in the domain are present in the range also. Further details of this model and of Experiment 1 are reported in Gentner (in press). The development of metaphorical ability is not well understood. The spontaneous speech of preschool children is full of seemingly metaphorical remarks. For example, a two-year-old says "Oh Mommie! How balloonie your legs are!" or (when undressed) "I' m barefoot all-over." (Chukovsky, 1968). It appears that not all these extensions arise from errors in the child' s word meanings (cf Thomson & Chapman, 1975). However, in experimental tasks designed to measure metaphorical ability preschool children acquit themselves rather poorly. Typical tasks used are interpretation of metaphors, such as "Can a person be soft? (Asch and Nerlove, 1960); or choosing among possible metaphorical and nonmetaphorical completions for completing sentences such as "Look at that boy standing over there. He looks as gigantic Performance on these tasks rises fairly steadily with age until adolescence. These results seem to indicate that metaphorical ability develops after the acquisition of basic language skills. The laboratory result that preschool children are poor at metaphor is at odds with the observation that novel comparisons are very common in their spontaneous speech. On closer examination, however, it appears that factors other then metaphorical ability are measured in these studies. One important factor is the children's conceptual knowledge, or lack of knowledge, of the domain from which the metaphor is taken and of the domain in which it is applied. For example, if young children do not know the culturally agreed-upon systems of personality traits and emotional states

Journal ArticleDOI
TL;DR: In this article, the macroscopic conductivity defined by De Gennes is calculated for a Cayley tree of random resistors and the conductivity exponents are t = 3 and s = log.
Abstract: The macroscopic conductivity defined by De Gennes is calculated for a Cayley tree of random resistors. The conductivity exponents are t=3 and s=(log). The implications for the dimensionality dependence of the conductivity exponents is discussed.

Journal ArticleDOI
TL;DR: The PATTERN method is applied for the decision process in the public system and a theoretical framework is developed to construct the relevance tree from the scenario writing through the quantitative evaluation.
Abstract: In this paper, I try to apply the PATTERN method(Planning Assistance Through Technical Evaluation of Relevance Number)for the decision process in the public system and attempt to construct a theoretical framework to explain the PATTERN method procedures.In this way, the PATTERN method procedures are to understand the public problem and solve it by three steps as follows.(a)To write the scenario from the public's point of view.(b)To build up the relevance tree from the content of the scenario.(c)To make the quantitative evaluation on the relevance tree.From these steps is developed a theoretical framework to construct the relevance tree from the scenario writing. At the same time, the multistage decision theory is applied to this relevance tree through the quantitative evaluation.This method is obtained by the consensus of the public opinions. Meanwhile, a decision making can be made in the public problem.Finally, this method is also applied to perform a case study of“the Public Problem of the Industrial Waste Treatment Planning”. I made a summary of it and examined its result.


Journal ArticleDOI
Unger1
TL;DR: It is shown how any combinational function that can be described by a flow table—or equivalently—is realizable in iterative form—can be realized in tree form.
Abstract: It is shown how any combinational function that can be described by a flow table—or equivalently—is realizable in iterative form—can be realized in tree form. The propagation delay is then proportional to the logarithm of n, the number of inputs, while the logic complexity is a linear function of n. These results are related to various implementations of high-speed binary adders and a proposed new high-speed adder circuit.

Patent
24 Feb 1977
TL;DR: A hinge assembly for artificial Christmas trees that allows for the collapse of the tree without danger of the hinge binding or pinching materials in contact with the hinge and which is well suited to fabrication by mass production techniques is presented in this paper.
Abstract: A hinge assembly for artificial Christmas trees that allows for the collapse of the tree without danger of the hinge binding or pinching materials in contact with the hinge and which is well suited to fabrication by mass production techniques.

Journal ArticleDOI
TL;DR: A formal method and an algorithm are presented to determine minimal cut sets (MCSs) from fault trees that allow straightforward analyses for all those cases (large trees, high order cut sets, repeated elements) where present combinatorial and Monte Carlo techniques are not effective.
Abstract: A formal method and an algorithm are presented to determine minimal cut sets (MCSs) from fault trees. The method is based upon segmenting the tree, constructing MCSs of subtrees and subsequent expanding into the MCS of the original tree. The major advantage of the method is the direct determination of MCSs up to any order required. More particularly, the algorithm DICOMICS allows straightforward analyses for all those cases (large trees, high order cut sets, repeated elements) where present combinatorial and Monte Carlo techniques are not effective. Compared with other structural algorithms now in use, DICOMICS provides a near optimal effective construction of MCSs. Thus, even when there are many redundant cut sets, computer implementations yield a substantial reduction of computing steps and effort. Hand calculation and interactive programming are also possible.

Book ChapterDOI
TL;DR: This work introduces classes of program schemes, which generalize the notion of a recursive program scheme in the sense of Nivat, by allowing recursion on higher functional types and proves that the concept of schematic tree grammars is extended and allows to generate new tree languages.

Patent
29 Dec 1977
TL;DR: A foldable assembly comprising a seat rotatably mounted on a support to which are collapsibly mounted three legs is described in this paper, where one of the legs can be secured to a tree.
Abstract: A foldable assembly comprising a seat rotatably mounted on a support to which are collapsibly mounted three legs. One of the legs can be secured to a tree. Foothold means are provided on one of the legs. Means are provided also to adjust the length of the legs.

Patent
22 Feb 1977
TL;DR: In this article, an artificial and mechanical tree consisting of a pole member and a plurality of vertical, accordion-type limb sections is described. Each of the tree limb sections has the tree limbs attached to a vertically collapsible and expandable tubular member which is concentric with and removably attached in the expanded configuration to the pole member.
Abstract: An artificial and mechanical tree which includes a pole member and a plurality of vertical, accordion-type limb sections is disclosed. Each of the tree limb sections has the tree limbs attached to a vertically collapsible and expandable tubular member which is concentric with and removably attached in the expanded configuration to the pole member.

Patent
02 Sep 1977
TL;DR: A stand of a generally hemispheric configuration base with a plurality of clamping legs is described in this paper, where the legs pass through the respective channels into gripping relationship with the tree trunk when it is inserted into a central containing body.
Abstract: A stand of a generally hemispheric configuration base. A plurality of clamping legs are provided which are arcuately curved and pass through channels formed in the base. The legs will pass through the respective channels into gripping relationship with the tree trunk when it is inserted into a central containing body in the stand. Thus, the weight of the tree itself serves to locate, hold and place into operation the gripping legs of the combination.

Journal ArticleDOI
Hill1, Huey
TL;DR: The results suggest that SCIRTSS can be effective on more complex LSI parts than other automatic test generation methods currently available.
Abstract: This paper describes SCIRTSS (a sequential circuit test search system). An analytical basis is given for using tree search techniques in determining test sequences for sequential circuits. The basic algorithm for the system of SCIRTSS programs is described and the extent to which the user can influence the search procedure is discussed. Included are the results of the application of SCIRTSS to eight sequential circuits of varying complexity on each one of which it succeeded in finding a fault detection sequence for at least 98 percent of the simple logical faults. This suggests that SCIRTSS can be effective on more complex LSI parts than other automatic test generation methods currently available. Breaking the tree search into two separate search procedures and partitioning circuits when possible into control and data sections are unique features which contribute to SCIRTSS efficiency.


01 Mar 1977
TL;DR: In this paper, a meta theorem is proved giving sufficient conditions for termination of tree replacement systems, which leads to a new proof methodology for proving termination of optimization techniques, which is used in this paper.
Abstract: : A meta theorem is proved giving sufficient conditions for termination of tree replacement systems. This leads to a new proof methodology for proving termination of optimization techniques. (Author)