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Some Applications of Graph Theory to Clustering

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Deriving term relations for a corpus by graph theoretical clusters
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A configural analysis of psychiatric diagnostic stereotypes
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Shortest Connection Networks And Some Generalizations
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Congruent Graphs and the Connectivity of Graphs
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Information Processing
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Applied Multivariate Analysis
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On the Determination of Redundancies in Sociometric Chains
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A Method of Matrix Analysis of Group Structure
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Connectivity and Generalized Cliques in Sociometric Group Structure
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Hierarchical Clustering Schemes
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A Graph Theoretic Approach to Similarity Relations
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A Metric and an Ordering on Sets
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Monotone Invariant Clustering Procedures
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Min and Max Hierarchical Clustering using Asymmetric Similarity Measures
inferredcites →https://doi.org/10.1007/bf02291760openalex-snapshot
Nonmetric Grouping: Clusters and Cliques
inferredcites →https://doi.org/10.1007/bf02306783openalex-snapshot
Some Extensions of Johnson's Hierarchical Clustering Algorithms
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Metrics on spaces of finite trees
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Data analysis and the connectivity of random graphs
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A mathematical model in graph theory for biological classification
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A model for taxonomy
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GRAPH COLORING ALGORITHMS††This research was supported in part by the Advanced Research Projects Agency of the Department of Defense under contract SD-302 and by the National Science Foundation under contract GJ-446.
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AN ALGORITHM FOR A GENERAL CONSTRAINED SET COVERING PROBLEM
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Engineering Cybernetics
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Distance between Sets
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A New Approach to Pattern Recognition
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Applied Graph Theory
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Representation of Similarity Matrices by Trees
inferredcites →https://doi.org/10.1080/01621459.1973.10481356openalex-snapshot
A Probability Theory of Cluster Analysis
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Approximate Evaluation Techniques for the Single-Link and Complete-Link Hierarchical Clustering Procedures
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Theory of Graphs
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On the shortest spanning subtree of a graph and the traveling salesman problem
inferredcites →https://doi.org/10.1093/comjnl/10.3.271openalex-snapshot
A general theory of classificatory sorting strategies: II. Clustering systems
inferredcites →https://doi.org/10.1093/comjnl/11.1.57openalex-snapshot
Cluster analysis on the Atlas computer
inferredcites →https://doi.org/10.1093/comjnl/11.2.177openalex-snapshot
The Construction of Hierarchic and Non-Hierarchic Classifications
inferredcites →https://doi.org/10.1093/comjnl/13.1.116openalex-snapshot
Discussion and Correspondence: Algorithms, methods and models in the simplification of complex data
inferredcites →https://doi.org/10.1093/comjnl/13.2.156openalex-snapshot
An improved algorithm for the Jardine-Sibson method of generating overlapping clusters
inferredcites →https://doi.org/10.1093/comjnl/14.2.156openalex-snapshot
Some observations on a paper by Lance and Williams
inferredcites →https://doi.org/10.1093/comjnl/14.2.162openalex-snapshot
Controversy concerning the criteria for taxonometric strategies
inferredcites →https://doi.org/10.1093/comjnl/15.4.326openalex-snapshot
On the theory and construction of k-clusters
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Classification of a set of elements
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The Classification of a Set of Elements with Respect to a Set of Properties
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A General Theory of Classificatory Sorting Strategies: 1. Hierarchical Systems
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Graph-Theoretical Methods for Detecting and Describing Gestalt Clusters
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PRINCIPLES OF BEHAVIOURAL TAXONOMY AND THE MATHEMATICAL BASIS OF THE TAXONOME COMPUTER PROGRAM
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A METHOD OF CLUSTER ANALYSIS
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SPANNING TREES AND ASPECTS OF CLUSTERING
inferredcites →https://doi.org/10.1137/0122040openalex-snapshot
k -Components, Clusters and Slicings in Graphs
inferredcites →https://doi.org/10.1145/321479.321480openalex-snapshot
Semantic Clustering of Index Terms
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An Analysis of Some Graph Theoretical Cluster Techniques
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Corrections to Bierstone's Algorithm for Generating Cliques
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On Some Clustering Techniques
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Elementary Linkage Analysis for Isolating Orthogonal and Oblique Types and Typal Relevancies
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Typal Analysis
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Rank Order Typal Analysis
inferredcites →https://doi.org/10.1177/001316446402400301openalex-snapshot
Capabilities and Improvements of Linkage Analysis as a Clustering Method
inferredcites →https://doi.org/10.1177/001316446702700103openalex-snapshot
A Mutual Development of Some Typological Theories and Pattern-Analytic Methods
inferredcites →https://doi.org/10.1177/001316446802800201openalex-snapshot
Clusters from Iterative, Intercolumnar Correlational Analysis
inferredcites →https://doi.org/10.1177/001316447003000401openalex-snapshot
Some Problems and Elaborations of Iterative, Intercolumnar Correlational Analysis
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The Analysis of Sociograms using Matrix Algebra
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The BC Try Computer System of Cluster And Factor Analysis
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Identification of the Liaison Persons of an Organization Using the Structure Matrix
inferredcites →https://doi.org/10.21236/ad0705364openalex-snapshot
GRAPH THEORY
inferredcites →https://doi.org/10.2307/1219157openalex-snapshot
CHARACTERS AND CLUSTERING IN TAXONOMY: A SYNTHESIS OF TWO TAXIMETRIC PROCEDURES
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A METRIC FOR CLASSIFICATIONS
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A Method for the Analysis of the Structure of Complex Organizations
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Structural Models: An Introduction to the Theory of Directed Graphs.
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A Review of Classification
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Minimum Spanning Trees and Single Linkage Cluster Analysis
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Les Bases de la Classification Automatique.
inferredcites →https://doi.org/10.2307/2371086openalex-snapshot
Congruent Graphs and the Connectivity of Graphs
inferredcites →https://doi.org/10.2307/2372274openalex-snapshot
Two Decomposition Theorems for a Class of Finite Oriented Graphs
inferredcites →https://doi.org/10.2307/2372551openalex-snapshot
Networks Satisfying Minimality Conditions
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A Graph Theory Model for Systematic Biology, with an Example for the Oncidiinae (Orchidaceae)
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A Comparison of Some Methods of Cluster Analysis
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Applied Multivariate Analysis
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A Simplified Example of the Use of Matrix Multiplication for the Analysis of Sociometric Data
inferredcites →https://doi.org/10.2307/2785673openalex-snapshot
A Procedure for Clique Detection Using the Group Matrix
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A Description of Strengthening and Weakening Members of a Group
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A Note on the Detection of Cliques in Valued Graphs
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Structural Models: An Introduction to the Theory of Directed Graphs
inferredcites →https://doi.org/10.2307/3151168openalex-snapshot
Mathematical Taxonomy
inferredcites →https://doi.org/10.2307/sysbio/15.1.59openalex-snapshot
A Graph Theory Model for Systematic Biology, with an Example for the Oncidiinae (Orchidaceae)
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Elementary Factor Analysis
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ELEMENTARY FACTOR ANALYSIS
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Zur allgemeinen Kurventheorie
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Graphs and Their Uses

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Hierarchical Cluster Analysis
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Hierarchical Cluster Analysis
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Network Analysis
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Network Analysis
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Hierarchical Cluster Analysis
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Hierarchical Cluster Analysis
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Hierarchical Classification II: Complete‐Linkage Method
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Supervised pattern classification based on optimum‐path forest
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Data clustering as an optimum‐path forest problem with applications in image analysis
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ITEM CONSTRUCTION AND PSYCHOMETRIC MODELS APPROPRIATE FOR CONSTRUCTED RESPONSES
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Hierarchical Image Segmentation Using Ant Colony and Chemical Computing Approach
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The Methods and Problems of Cluster Analysis
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Clustering Under Radius Constraints Using Minimum Dominating Sets
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Iterative Graph-Based Radius-Constrained Clustering
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An Adaptive k-Nearest Neighbors Clustering Algorithm for Complex Distribution Dataset
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Towards Hierarchical Clustering (Extended Abstract)
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A Learning Algorithm for the Optimum-Path Forest Classifier
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On Morphological Hierarchical Representations for Image Processing and Spatial Data Clustering
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New Kinds of Graphical Representation in Clustering
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Unüberwachtes Lernen
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Some Backgrounds for Building an Expert System in Banking Environment
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Computational Methods in Clustering from a Mathematical Programming Viewpoint
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The use of state-to-state college migration data in developing a hierarchy of higher educational regions
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Clusteranalyse — Überblick und neuere Entwicklungen
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Clique optimization: A method to construct parsimonious ultrametric trees from similarity data
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Investigation of proportional link linkage clustering methods
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Partitionierende Cluster-Analyse bei Binärdaten am Beispiel von bundesdeutschen Hochschulen und Diplomstudiengängen
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Nonmetric Grouping: Clusters and Cliques
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A constrainedk-means clustering algorithm for classifying spatial units
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Cluster analysis and mathematical programming
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Fixed points approach to clustering
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Constructing optimal ultrametrics
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Attribute Hierarchy Models in Cognitive Diagnosis: Identifiability of the Latent Attribute Space and Conditions for Completeness of the Q-Matrix
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Parameter Self-Optimizing Clustering for Autonomous Extraction of the Weld Seam Based on Orientation Saliency in Robotic MAG Welding
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Extracting cover sets from free fuzzy sorting data
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Big data analytics in bioinformatics: architectures, techniques, tools and issues
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Industrial market segmentation by the structure of the purchasing process
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Data analysis implications of some concepts related to the cuts of a graph
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A set-theoretical approach to the problem of hierarchical clustering
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Constructing blockmodels: How and why
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Preservation of global order equivalence
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Validity of clusters formed by graph-theoretic cluster methods
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Classification and specification of flat cluster methods
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Cluster validity profiles
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Parallel clustering algorithms
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Some current models for the perception and judgment of risk
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Clustering, seriation, and subset extraction of confusion data.
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K-balance partitioning: An exact method with applications to generalized structural balance and other psychological contexts.
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Expanding Horizons: Graph Theory’s Multifaceted Applications
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Formules de réactualisation pour une famille d'indices de proximité inter-classe en classification hiérarchique
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Clustering representations of group overlap
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Clique analysis of a tolerance relation
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COBLOC: A hierarchical method for blocking network data
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Structural models with qualitative values
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Recent Advances in (Graphical) Network Models
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Probability Tables for Cluster Analysis Based on a Theory of Random Graphs
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A Graph-Theoretic Approach to Goodness-of-Fit in Complete-Link Hierarchical Clustering
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Complete-Link Cluster Analysis by Graph Coloring
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Cluster Inference by Using Transitivity Indices in Empirical Graphs
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GENERALIZED INFORMATION THEORY AND DECOMPOSABILITY OF SYSTEMS
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An Automated Software Design Methodology Using CAPO
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A hierarchical regionalization of Japanese prefectures using 1972 interprefectural migration flows
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Categorization by simplicity: a minimum description length approach to unsupervised clustering
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An automated software design assistant
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An optimal graph theoretic approach to data clustering: theory and its application to image segmentation
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Using cluster skeleton as prototype for data labeling
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Determination of generator siting and contract options based on interutility tie line flow impacts
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Granulation-based fuzzy clustering of large-scale time series
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Strauctural properties of Si nanocrystals: implications for light emitting devices fabrication
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A novel highly scalable clustering algorithm based on hyper edges and successive merging with randomization for complex data sets
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Maximum Weighted Entropy Clustering Algorithm
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Order invariant hierarchical clustering
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Fuzzy Graph-Theoretical Clustering Approach on Spatial Relationship Constrain
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Bicriterion Cluster Analysis
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A Comparison of the Stability Characteristics of Some Graph Theoretic Clustering Methods
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Dot Pattern Processing Using Voronoi Neighborhoods
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Cluster Definition by the Optimization of Simple Measures
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Hierarchical Internal Migration Regions of France
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Model selection for minimum‐diameter partitioning
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Integer programming in psychology: A review and directions for future research
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HIERARCHICAL CLUSTERING AND THE CONCEPT OF SPACE DISTORTION
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On the Complexity of General Graph Factor Problems
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Some Aspects of Clustering Functions
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The Approximation of Arbitrary Clustering Functions by Clustering Functions which Satisfy Overlapping Criteria
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On the completeness of a generalized matching problem
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Combinatorial Data Analysis
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Models of Network Structure
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Overlapping Clustering: A New Method for Product Positioning
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Methodology Review: Clustering Methods
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Hierarchical Vs. Generally Overlapping Models In Psychiatric Classification
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Bicriterion methods for partitioning dissimilarity matrices
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Cross validation issues in multiobjective clustering
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Incorporation of contextual information through Graph Modeling in Web content mining
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Graph Theory and Its Applications in Educational Research: A Review and Integration
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MAXIMAL CLIQUE AND GRAPH COLORING HEURISTICS FOR OVERLAPPING COMMUNITY DETECTION IN NETWORK PSYCHOMETRICS
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Ising formulations of some graph-theoretic problems in psychological research: models and methods
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Boundary Matching and Interior Connectivity-Based Cluster Validity Anlysis
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Evolutionary framework for DNA Microarry Cluster Analysis
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Interactive clustering
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Agrupamento de dados por florestas de caminhos otimos
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Clusters, Graphs, and Networks for Analysing Internet-Web-Supported Communication within a Virtual Community
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OPTIMIZING SIMILARITY THRESHOLD FOR ABSTRACT SIMILARITY METRIC IN SPEECH DIARIZATION SYSTEMS: A MATHEMATICAL FORMULATION
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Regiony a regionální taxonomie: koncepty, přístupy, aplikace
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Graphs in Libraries: A Primer
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Measuring Human Performance on Clustering Problems: Some Potential Objective Criteria and Experimental Research Opportunities
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