• Title/Summary/Keyword: graph algorithm

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Implementation of Effective Dominator Trees Using Eager Reduction Algorithm and Delay Reduction Algorithm (순차감축 알고리즘과 지연감축 알고리즘을 이용한 효과적인 지배자 트리의 구현)

  • Lee, Dae-Sik
    • Journal of Internet Computing and Services
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    • v.6 no.6
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    • pp.117-125
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    • 2005
  • The dominator tree presents the dominance frontier from directed graph to the tree. we present the effective algorithm for constructing the dominator tree from arbitrary directed graph. The reducible flow graph was reduced to dominator tree after dominator calculation. And the irreducible flow graph was constructed to dominator-join graph using join-edge information of information table. For reducing the dominator tree from dominator-join graph, we implement the effective sequency reducible algorithm and delay reducible algorithm. As a result of implementation, we can see that the delay reducible algorithm takes less execution time than the sequency reducible algorithm. Therefore, we can reduce the flow graph to dominator tree effectively.

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An Optimal Register resource Allocation Algorithm using Graph Coloring

  • Park, Ji-young;Lim, Chi-ho;Kim, Hi-seok
    • Proceedings of the IEEK Conference
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    • 2000.07a
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    • pp.302-305
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    • 2000
  • This paper proposed an optimal register resource allocation algorithm using graph coloring for minimal register at high level synthesis. The proposed algorithm constructed interference graph consist of the intermediated representation CFG to description VHDL. and at interference graph fur the minimal select color selected a position node at stack, the next inserted spill code and the graph coloring process executes for optimal register allocation. The proposed algorithm proves to effect that result compare another allocation techniques through experiments of bench mark.

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An AND-OR Graph Search Algorithm Under the Admissibility Condition Relaxed

  • Lee, Chae-Y.
    • Journal of the Korean Operations Research and Management Science Society
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    • v.14 no.1
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    • pp.27-35
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    • 1989
  • An algorithm that searches the general AND-OR graph is proposed. The convergence and the efficiency of the algorithm is examined and compared with an existing algorithm for the AND-OR graph. It is proved that the proposed algorithm is superior to the existing method both in the quality of the solution and the number of node expansions.

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Determining Minimal Set of Vertices Limiting The Maximum Path Length in General Directed Graphs (유향 그래프의 최대 경로 길이를 제한하는 최소 노드 집합을 구하는 알고리즘)

  • Lee Dong Ho
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.32B no.1
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    • pp.11-20
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    • 1995
  • A new graph problem is formulated to limit the maximum path length of a general directed graph when a minimal set of vertices together with their incident edges are removed from the graph. An optimal algorithm and a heuristic algorithm are proposed and the proposed heuristic algorithm is shown to be effective through experiments using a collection of graphs obtained from large sequential circuits. The heuristic algorithm is based on a feedback vertex set algorithm based on graph reduction.

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Automatic decomposition of unstructured meshes employing genetic algorithms for parallel FEM computations

  • Rama Mohan Rao, A.;Appa Rao, T.V.S.R.;Dattaguru, B.
    • Structural Engineering and Mechanics
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    • v.14 no.6
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    • pp.625-647
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    • 2002
  • Parallel execution of computational mechanics codes requires efficient mesh-partitioning techniques. These mesh-partitioning techniques divide the mesh into specified number of submeshes of approximately the same size and at the same time, minimise the interface nodes of the submeshes. This paper describes a new mesh partitioning technique, employing Genetic Algorithms. The proposed algorithm operates on the deduced graph (dual or nodal graph) of the given finite element mesh rather than directly on the mesh itself. The algorithm works by first constructing a coarse graph approximation using an automatic graph coarsening method. The coarse graph is partitioned and the results are interpolated onto the original graph to initialise an optimisation of the graph partition problem. In practice, hierarchy of (usually more than two) graphs are used to obtain the final graph partition. The proposed partitioning algorithm is applied to graphs derived from unstructured finite element meshes describing practical engineering problems and also several example graphs related to finite element meshes given in the literature. The test results indicate that the proposed GA based graph partitioning algorithm generates high quality partitions and are superior to spectral and multilevel graph partitioning algorithms.

A Path Finding Algorithm based on an Abstract Graph Created by Homogeneous Node Elimination Technique (동일 특성 노드 제거를 통한 추상 그래프 기반의 경로 탐색 알고리즘)

  • Kim, Ji-Soo;Lee, Ji-Wan;Cho, Dea-Soo
    • Journal of Korea Spatial Information System Society
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    • v.11 no.4
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    • pp.39-46
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    • 2009
  • Generally, Path-finding algorithms which use heuristic function may occur a problem of the increase of exploring cost in case of that there is no way determined by heuristic function or there are 2 way more which have almost same cost. In this paper, we propose an abstract graph for path-finding with dynamic information. The abstract graph is a simple graph as real road network is abstracted. The abstract graph is created by fixed-size cells and real road network. Path-finding with the abstract graph is composed of two step searching, path-finding on the abstract graph and on the real road network. We performed path-finding algorithm with the abstract graph against A* algorithm based on fixed-size cells on road network that consists of 106,254 edges. In result of evaluation of performance, cost of exploring in path-finding with the abstract graph is about 3~30% less than A* algorithm based on fixed-size cells. Quality of path in path-finding with the abstract graph is, However, about 1.5~6.6% more than A* algorithm based on fixed-size cells because edges eliminated are not candidates for path-finding.

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A New Connected Coherence Tree Algorithm For Image Segmentation

  • Zhou, Jingbo;Gao, Shangbing;Jin, Zhong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.6 no.4
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    • pp.1188-1202
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    • 2012
  • In this paper, we propose a new multi-scale connected coherence tree algorithm (MCCTA) by improving the connected coherence tree algorithm (CCTA). In contrast to many multi-scale image processing algorithms, MCCTA works on multiple scales space of an image and can adaptively change the parameters to capture the coarse and fine level details. Furthermore, we design a Multi-scale Connected Coherence Tree algorithm plus Spectral graph partitioning (MCCTSGP) by combining MCCTA and Spectral graph partitioning in to a new framework. Specifically, the graph nodes are the regions produced by CCTA and the image pixels, and the weights are the affinities between nodes. Then we run a spectral graph partitioning algorithm to partition on the graph which can consider the information both from pixels and regions to improve the quality of segments for providing image segmentation. The experimental results on Berkeley image database demonstrate the accuracy of our algorithm as compared to existing popular methods.

An Effective Algorithm for Constructing the Dominator Tree from Irreducible Directed Graphs (감축 불가능한 유향그래프로부터 지배자 트리를 구성하기 위한 효과적인 알고리즘)

  • Lee, Dae-Sik;Sim, Son-Kweon;Ahn, Heui-Hak
    • The Transactions of the Korea Information Processing Society
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    • v.7 no.8
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    • pp.2536-2542
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    • 2000
  • The dominator tree presents the dominance frontier from directed graph to the tree. we present the effective algorithm for constructing the dominator tree from arbitrarY directed graph. The reducible flow graph was reduced to dominator tree after dominator calculation. And the irreducible flow graph was constructed to dominator-join graph using join-edge information of information table. For reducing the dominator tree from dominator-join graph, we present the effective sequency reducible algorithm and delay reducible algorithm.

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Automated Segmentation of the Lateral Ventricle Based on Graph Cuts Algorithm and Morphological Operations

  • Park, Seongbeom;Yoon, Uicheul
    • Journal of Biomedical Engineering Research
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    • v.38 no.2
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    • pp.82-88
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    • 2017
  • Enlargement of the lateral ventricles have been identified as a surrogate marker of neurological disorders. Quantitative measure of the lateral ventricle from MRI would enable earlier and more accurate clinical diagnosis in monitoring disease progression. Even though it requires an automated or semi-automated segmentation method for objective quantification, it is difficult to define lateral ventricles due to insufficient contrast and brightness of structural imaging. In this study, we proposed a fully automated lateral ventricle segmentation method based on a graph cuts algorithm combined with atlas-based segmentation and connected component labeling. Initially, initial seeds for graph cuts were defined by atlas-based segmentation (ATS). They were adjusted by partial volume images in order to provide accurate a priori information on graph cuts. A graph cuts algorithm is to finds a global minimum of energy with minimum cut/maximum flow algorithm function on graph. In addition, connected component labeling used to remove false ventricle regions. The proposed method was validated with the well-known tools using the dice similarity index, recall and precision values. The proposed method was significantly higher dice similarity index ($0.860{\pm}0.036$, p < 0.001) and recall ($0.833{\pm}0.037$, p < 0.001) compared with other tools. Therefore, the proposed method yielded a robust and reliable segmentation result.

An Algorithm for One-to-One Mapping Matrix-star Graph into Transposition Graph (행렬-스타 그래프를 전위 그래프에 일-대-일 사상하는 알고리즘)

  • Kim, Jong-Seok;Lee, Hyeong-Ok
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.5
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    • pp.1110-1115
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    • 2014
  • The matrix-star and the transposition graphs are considered as star graph variants that have various merits in graph theory such as node symmetry, fault tolerance, recursive scalability, etc. This paper describes an one-to-one mapping algorithm from a matrix-star graph to a transposition graph using adjacent properties in graph theory. The result show that a matrix-star graph $MS_{2,n}$ can be embedded in a transposition graph $T_{2n}$ with dilation n or less and average dilation 2 or less.