• Title/Summary/Keyword: graph decomposition

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A Polynomial-time Algorithm to Find Optimal Path Decompositions of Trees (트리의 최적 경로 분할을 위한 다항시간 알고리즘)

  • An, Hyung-Chan
    • Journal of KIISE:Computer Systems and Theory
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    • v.34 no.5_6
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    • pp.195-201
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    • 2007
  • A minimum terminal path decomposition of a tree is defined as a partition of the tree into edge-disjoint terminal-to-terminal paths that minimizes the weight of the longest path. In this paper, we present an $O({\mid}V{\mid}^2$time algorithm to find a minimum terminal path decomposition of trees. The algorithm reduces the given optimization problem to the binary search using the corresponding decision problem, the problem to decide whether the cost of a minimum terminal path decomposition is at most l. This decision problem is solved by dynamic programing in a single traversal of the tree.

A QRS pattern analysis algorithm by improved significant point extraction method (개선된 특성점 검출 기법에 의한 QRS 패턴해석)

  • Hwang, Seon-Cheol;Lee, Byung-Chae;Nam, Seung-Woo;Lee, Myoung-Ho
    • Proceedings of the KOSOMBE Conference
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    • v.1991 no.05
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    • pp.51-55
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    • 1991
  • This paper describes an algorithm of pattern analysis of ECG signals by significant points extraction method. The significant points can be extracted by modified zerocrossing method, which method determines the real significant point among the significant point candidates by zerocrossing method and slope rate of left side and right side. This modified zerocrossing method improves the accuracy of detection of real significant point position. This paper also describes the pattern matching algorithm by a hierarchical AND/OR graph of ECG signals. The decomposition of ECG signals by a hierarchical AND/OR graph can make the pattern matching process easy and fast. Furthermore the pattern matching to the significant points reduces the processing time of ECG analysis.

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Solving a Path Assignment Problem using s-t Cuts (그래프의 s-t 절단을 이용한 경로 배정 문제 풀이)

  • Kim, Tae-Jung
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.2
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    • pp.141-147
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    • 2009
  • We introduce a noble method to find a variation of the optimal path problem. The problem is to find the optimal decomposition of an original planar region such that the number of paths in the region is minimized. The paths are required to uniformly cover each subregion and the directions of the paths in each sub-region are required to be either entirely vertical or entirely horizontal. We show how we can transform the path problem into a graph s-t cut problem. We solve the transformed s-t cut problem using the Ford-Fulkerson method and show its performance. The approach can be used in zig-zag milling and layerd manufacturing.

A QRS Pattern Analysis Algorithm for ECG Signals (심전도신호의 QRS 패턴해석)

  • 황선철;권혁제
    • Journal of Biomedical Engineering Research
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    • v.12 no.2
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    • pp.131-138
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    • 1991
  • This paper describes an algorithm of pattern analysis of ECG signals by significant points extraction method. The significant points can be extracted by modified zerocrossing method, which method determines the real significant point among the significant point candidates by zerocrossing method and slope rate of left side and right side. This modified zerocrossing method improves the accuracy of detection of real slgnficant polnt Position. This Paper also describes the pattern matching algorithm by a hierarchical AND/OR graph of ECG signals. The decomposition of ECG signals by a hierarchical AND/ OR graph can make the pattern matching process easy and fast, Furthermore the pattern matching to the significant points reduces the processing time of ECG analysis.

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Feature Recognition of Prismatic Parts for Automated Process Planning : An Extended AAG A, pp.oach (공정계획의 자동화를 위한 각주형 파트의 특징형상 인식 : 확장된 AAG 접근 방법)

  • 지원철;김민식
    • Journal of Intelligence and Information Systems
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    • v.2 no.1
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    • pp.45-58
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    • 1996
  • This paper describes an a, pp.oach to recognizing composite features of prismatic parts. AAG (Attribute Adjacency Graph) is adopted as the basis of describing basic feature, but it is extended to enhance the expressive power of AAG by adding face type, angles between faces and normal vectors. Our a, pp.oach is called Extended AAG (EAAG). To simplify the recognition procedure, feature classification tree is built using the graph types of EEA and the number of EAD's. Algorithms to find open faces and dimensions of features are exemplified and used in decomposing composite feature. The processing sequence of recognized features is automatically determined during the decomposition process of composite features.

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K-Way Graph Partitioning: A Semidefinite Programming Approach (Semidefinite Programming을 통한 그래프의 동시 분할법)

  • Jaehwan, Kim;Seungjin, Choi;Sung-Yang, Bang
    • Proceedings of the Korean Information Science Society Conference
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    • 2004.10a
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    • pp.697-699
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    • 2004
  • Despite many successful spectral clustering algorithm (based on the spectral decomposition of Laplacian(1) or stochastic matrix(2) ) there are several unsolved problems. Most spectral clustering Problems are based on the normalized of algorithm(3) . are close to the classical graph paritioning problem which is NP-hard problem. To get good solution in polynomial time. it needs to establish its convex form by using relaxation. In this paper, we apply a novel optimization technique. semidefinite programming(SDP). to the unsupervised clustering Problem. and present a new multiple Partitioning method. Experimental results confirm that the Proposed method improves the clustering performance. especially in the Problem of being mixed with non-compact clusters compared to the previous multiple spectral clustering methods.

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Large Scale Protein Side-chain Packing Based on Maximum Edge-weight Clique Finding Algorithm

  • K.C., Dukka Bahadur;Brown, J.B.;Tomita, Etsuji;Suzuki, Jun'ichi;Akutsu, Tatsuya
    • Proceedings of the Korean Society for Bioinformatics Conference
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    • 2005.09a
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    • pp.228-233
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    • 2005
  • The protein side-chain packing problem (SCPP) is known to be NP-complete. Various graph theoretic based side-chain packing algorithms have been proposed. However as the size of the protein becomes larger, the sampling space increases exponentially. Hence, one approach to cope with the time complexity is to decompose the graph of the protein into smaller subgraphs. Some existing approaches decompose the graph into biconnected components at an articulation point (resulting in an at-most 21-residue subgraph) or solve the SCPP by tree decomposition (4-, 5-residue subgraph). In this regard, we had also presented a deterministic based approach called as SPWCQ using the notion of maximum edge weight clique in which we reduce SCPP to a graph and then obtain the maximum edge-weight clique of the obtained graph. This algorithm performs well for a protein of less than 500 residues. However, it fails to produce a feasible solution for larger proteins because of the size of the search space. In this paper, we present a new heuristic approach for the side-chain packing problem based on the maximum edge-weight clique finding algorithm that enables us to compute the side-chain packing of much larger proteins. Our new approach can compute side-chain packing of a protein of 874 residues with an RMSD of 1.423${\AA}$.

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Graph Construction Based on Fast Low-Rank Representation in Graph-Based Semi-Supervised Learning (그래프 기반 준지도 학습에서 빠른 낮은 계수 표현 기반 그래프 구축)

  • Oh, Byonghwa;Yang, Jihoon
    • Journal of KIISE
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    • v.45 no.1
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    • pp.15-21
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    • 2018
  • Low-Rank Representation (LRR) based methods are widely used in many practical applications, such as face clustering and object detection, because they can guarantee high prediction accuracy when used to constructing graphs in graph - based semi-supervised learning. However, in order to solve the LRR problem, it is necessary to perform singular value decomposition on the square matrix of the number of data points for each iteration of the algorithm; hence the calculation is inefficient. To solve this problem, we propose an improved and faster LRR method based on the recently published Fast LRR (FaLRR) and suggests ways to introduce and optimize additional constraints on the underlying optimization goals in order to address the fact that the FaLRR is fast but actually poor in classification problems. Our experiments confirm that the proposed method finds a better solution than LRR does. We also propose Fast MLRR (FaMLRR), which shows better results when the goal of minimizing is added.

A Study of the effective method of LU factorization for Newton-Raphson Load Flow (Newton-Raphson법을 이용한 조류계산을 위한 효율적인 LU분해 계산 방법에 관한 연구)

  • Gim, Jae-Hyeon;Lee, So-Young
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.274-275
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    • 2000
  • This paper introduces new ordering algorithms using the graph of data structure and forward/backward substitution of LU decomposition using recursive function. The performance of the algorithm is compared with Tinney's algorithm using 14 bus systems. Test results show that the new fill-in element of Jacobian matrix using the proposed ordering algorithm is same as that of Tinner scheme 3 and the forward/backward substitution can reduce the computation time

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스타 그래프 연결망의 성능분석

  • Kim, Myeong-Gyun;Lee, Gil-Haeng
    • ETRI Journal
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    • v.14 no.1
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    • pp.118-125
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    • 1992
  • 다중 컴퓨터 연결망의 성능은 그 위상에 따라 크게 좌우되는데 현재까지 연구된 많은 연결망중에서 특히 하이퍼큐브 연결망은 노드수에 비해 비교적 적은 차수와 지름을 갖고 symmetric 하며 순환적 구성 (recursive decomposition structure) 특성을 갖고 있어 여러가지 알고리즘의 사상이 용이하여 많이 사용되고 있다. 여기서는 $Akers^2$ 등에 의해 제안되어 스타 그래프 (star graph) 에 대해 성능분석을 하였다. 분석 척도로는 노드간 평균거리를 사용하였으며 메시지 분포는 $Reed^(1)$가 사용한 분포를 사용하였다. 분석결과 스타 그래프 연결망은 하이퍼큐브와 비슷한 성능을 보였으며 노드 수가 많아질수록 더 나은 성능을 보였다.

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