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Construction of the Smallest Common Coarser of Two and Three Set Partitions
Published 2014-12-01Subjects: “…partition of a set…”
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Algorithm of calculating partitions on a set of a sewing flow’s models by the values of a capacity of organizational operations
Published 2017-08-01“…The concept of a capacity of organizational operation is formulated. The partition of a set is carried out for the purpose of optimization of modeling procedures. …”
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Consistency between ordering and clustering methods for graphs
Published 2023-04-01“…To this end, we propose a measure called the label continuity error, which generically quantifies the degree of consistency between a sequence and partition for a set of elements. Based on synthetic and real-world datasets, we evaluate the extents to which an ordering method identifies a module structure and a clustering method identifies a banded structure.…”
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Efficiency of Equivalence Algorithms
Published 2004“…The equivalence problem is to determine the finest partition on a set that is consistent with a sequence of assertions of the form "x == y". …”
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Actions and Identities on Set Partitions
Published 2014“…A labeled set partition is a partition of a set of integers whose arcs are labeled by nonzero elements of an abelian group A. …”
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A cryptic RNA-binding domain mediates Syncrip recognition and exosomal partitioning of miRNA targets
Published 2018“…Syncrip/hnRNPQ is a highly conserved RNA-binding protein that mediates the exosomal partition of a set of miRNAs. Here, we report that Syncrip's amino-terminal domain, which was previously thought to mediate protein-protein interactions, is a cryptic, conserved and sequence-specific RNA-binding domain, designated NURR (N-terminal unit for RNA recognition). …”
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Tolerant Radon partitions on the all-paths convexity in graphs
Published 2024-01-01“…Convexity obtained by the all-paths transit function is called all-paths convexity. A partition of a set P of vertices of a graph G into two disjoint non-empty subsets is called a Radon partition if the convex hulls of the subsets intersect. …”
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$k$-Efficient partitions of graphs
Published 2019-12-01“…In this paper, we generalize the concept of efficient domination by considering $k$-efficient domination partitions of the vertex set of $G$, where each element of the partition is a set consisting of a vertex $u_i$ and all the vertices at distance~$d_i$ from it, where $d_i \in \{0,1, \ldots, k\}$. …”
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Some properties on degenerate Fubini polynomials
Published 2022-12-01“…The nth Fubini number enumerates the number of ordered partitions of a set with n elements and is the number of possible ways to write the Fubini formula for a summation of integration of order n. …”
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A Definition for Hesitant fuzzy Partitions
Published 2016-06-01“…We define a method to construct H-fuzzy partitions from a set of fuzzy clusters obtained from several executions of fuzzy clustering algorithms with various initialization of their parameters. …”
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Método heurístico para particionamiento óptimo
Published 2009-02-01“…The present paper has two main parts; first, we present different methods and heuristics that find the number of clusters for optimal partitioning of a set; afterwards, we propose a new heuristic and we perform different comparisons in order to evaluate the advantages on well known data sets; we end the paper with some concluding remarks. …”
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A novel approach to find partitions of $ Z_{m} $ with equal sum subsets via complete graphs
Published 2021-07-01“…In mathematics and computer sciences, the partitioning of a set into two or more disjoint subsets of equal sums is a well-known NP-complete problem, also referred to as partition problem. …”
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A VOXEL-BASED FILTERING ALGORITHM FOR MOBILE LIDAR DATA
Published 2018-04-01“…In the first step, to improve computational efficiency, mobile LiDAR points, in xy-plane, are first partitioned into a set of two-dimensional (2-D) blocks with a given block size, in each of which all laser points are further organized into an octree partition structure with a set of three-dimensional (3-D) voxels. …”
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A pylon model for semantic segmentation
Published 2011“…As a result of such inference, the image gets partitioned into a set of segments that may come from different layers of the tree. …”
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A grammar-based distance metric enables fast and accurate clustering of large sets of 16S sequences
Published 2010-12-01“…The proposed clustering algorithm uses a grammar-based distance metric to determine partitioning for a set of biological sequences. The algorithm performs clustering in which new sequences are compared with cluster-representative sequences to determine membership. …”
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Destroying Bicolored $P_3$s by Deleting Few Edges
Published 2021-06-01“…The input is a graph $G=(V,E)$ where the edge set $E$ is partitioned into a set $E_r$ of red edges and a set $E_b$ of blue edges. …”
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Roof model recommendation for complex buildings based on combination rules and symmetry features in footprints
Published 2018-10-01“…Second, a graph-based symmetry detection algorithm is proposed to identify all the symmetrical sub-clusters in partitions. Then, a set of selection rules are defined to rank partitions, and the best ones are chosen for roof shape recommendation. …”
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A STOCHASTIC APPROACH TO AUTOMATED RECONSTRUCTION OF 3D MODELS OF INTERIOR SPACES FROM POINT CLOUDS
Published 2019-05-01“…The building interior is first partitioned into a set of 3D shapes as an arrangement of permanent structures. …”
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Improving the Effectiveness of the Solid-Solution-Strengthening Elements Mo, Re, Ru and W in Single-Crystalline Nickel-Based Superalloys
Published 2021-10-01“…To determine the composition dependency of the partitioning behavior, a set of polycrystalline superalloys with varying contents of these solid solution-strengthening elements and a W-containing single-crystalline alloy series with varying concentrations of the γ′-forming elements Ta and Ti was produced. …”
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