203 research outputs found

    A Comparison of Word Attack Skills Presented in S.R.A. Reading Laboratory with Word Attack Skills Presented in Two Basal Reading Programs, Ginn and Scott, Foresman

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    This study was conducted in an effort to compare the word attack skills presented in S.R.A. Reading Laboratory I and S.R.A. Reading Laboratory Ib with word attack skills presented in two second grade basal reading programs, Ginn, grade 2, and Scott, Foresman. The purpose of the study was to determine whether S.R.A. Reading laboratories I and Ib would be of value as a supplement to either or both basal reading programs

    Substructure Discovery Using Minimum Description Length and Background Knowledge

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    The ability to identify interesting and repetitive substructures is an essential component to discovering knowledge in structural data. We describe a new version of our SUBDUE substructure discovery system based on the minimum description length principle. The SUBDUE system discovers substructures that compress the original data and represent structural concepts in the data. By replacing previously-discovered substructures in the data, multiple passes of SUBDUE produce a hierarchical description of the structural regularities in the data. SUBDUE uses a computationally-bounded inexact graph match that identifies similar, but not identical, instances of a substructure and finds an approximate measure of closeness of two substructures when under computational constraints. In addition to the minimum description length principle, other background knowledge can be used by SUBDUE to guide the search towards more appropriate substructures. Experiments in a variety of domains demonstrate SUBDUE's ability to find substructures capable of compressing the original data and to discover structural concepts important to the domain. Description of Online Appendix: This is a compressed tar file containing the SUBDUE discovery system, written in C. The program accepts as input databases represented in graph form, and will output discovered substructures with their corresponding value.Comment: See http://www.jair.org/ for an online appendix and other files accompanying this articl

    Most, And Least, Compact Spanning Trees of a Graph

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    We introduce the concept of Most, and Least, Compact Spanning Trees -- denoted respectively by T(G)T^*(G) and T#(G)T^\#(G) -- of a simple, connected, undirected and unweighted graph G(V,E,W)G(V, E, W). For a spanning tree T(G)T(G)T(G) \in \mathcal{T}(G) to be considered T(G)T^*(G), where T(G)\mathcal{T}(G) represents the set of all the spanning trees of the graph GG, it must have the least sum of inter-vertex pair shortest path distances from amongst the members of the set T(G)\mathcal{T}(G). Similarly, for it to be considered T#(G)T^\#(G), it must have the highest sum of inter-vertex pair shortest path distances. In this work, we present an iteratively greedy rank-and-regress method that produces at least one T(G)T^*(G) or T#(G)T^\#(G) by eliminating one extremal edge per iteration.The rank function for performing the elimination is based on the elements of the matrix of relative forest accessibilities of a graph and the related forest distance. We provide empirical evidence in support of our methodology using some standard graph families; and discuss potentials for computational efficiencies, along with relevant trade-offs, to enable the extraction of T(G)T^*(G) and T#(G)T^\#(G) within reasonable time limits on standard platforms

    Engineering a Preprocessor for Symmetry Detection

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    State-of-the-art solvers for symmetry detection in combinatorial objects are becoming increasingly sophisticated software libraries. Most of the solvers were initially designed with inputs from combinatorics in mind (nauty, bliss, Traces, dejavu). They excel at dealing with a complicated core of the input. Others focus on practical instances that exhibit sparsity. They excel at dealing with comparatively easy but extremely large substructures of the input (saucy). In practice, these differences manifest in significantly diverging performances on different types of graph classes. We engineer a preprocessor for symmetry detection. The result is a tool designed to shrink sparse, large substructures of the input graph. On most of the practical instances, the preprocessor improves the overall running time significantly for many of the state-of-the-art solvers. At the same time, our benchmarks show that the additional overhead is negligible. Overall we obtain single algorithms with competitive performance across all benchmark graphs. As such, the preprocessor bridges the disparity between solvers that focus on combinatorial graphs and large practical graphs. In fact, on most of the practical instances the combined setup significantly outperforms previous state-of-the-art

    Multilayer Networks

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    In most natural and engineered systems, a set of entities interact with each other in complicated patterns that can encompass multiple types of relationships, change in time, and include other types of complications. Such systems include multiple subsystems and layers of connectivity, and it is important to take such "multilayer" features into account to try to improve our understanding of complex systems. Consequently, it is necessary to generalize "traditional" network theory by developing (and validating) a framework and associated tools to study multilayer systems in a comprehensive fashion. The origins of such efforts date back several decades and arose in multiple disciplines, and now the study of multilayer networks has become one of the most important directions in network science. In this paper, we discuss the history of multilayer networks (and related concepts) and review the exploding body of work on such networks. To unify the disparate terminology in the large body of recent work, we discuss a general framework for multilayer networks, construct a dictionary of terminology to relate the numerous existing concepts to each other, and provide a thorough discussion that compares, contrasts, and translates between related notions such as multilayer networks, multiplex networks, interdependent networks, networks of networks, and many others. We also survey and discuss existing data sets that can be represented as multilayer networks. We review attempts to generalize single-layer-network diagnostics to multilayer networks. We also discuss the rapidly expanding research on multilayer-network models and notions like community structure, connected components, tensor decompositions, and various types of dynamical processes on multilayer networks. We conclude with a summary and an outlook.Comment: Working paper; 59 pages, 8 figure

    Development and Evaluation of Interactive Courseware for Visualization of Graph Data Structure and Algorithms

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    The primary goal of this dissertation was to develop and pilot test interactive, multimedia courseware which would facilitate learning the abstract structures, operations, and concepts associated with graph and network data structures in Computer Science. Learning objectives and prerequisites are presented in an introduction section of the courseware and a variety of learning activities are provided including tutorials, animated demonstrations, interactive laboratory sessions, and self-tests. Courseware development incorporated principles and practices from software engineering, instructional design, and cognitive learning theories. Implementation utilized an easy-to-use authoring tool, NeoBook Professional (1994), to create the overall framework and the user interfaces, and Microsoft QuickBASIC 4.5 (1990) to program the interactive animated demonstrations and laboratory exercises. A major emphasis of the courseware is the use of simple interactive, animated displays to demonstrate the step-by-step operation of graph and network algorithms such as depth-first traversal, breadth-first traversal, shortest path, minimum sparring tree and topological ordering
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