• 한국멀티미디어학회논문지
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• 제22권2호
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• pp.225-230
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• 2019

There are several methods which efficiencies of database are uprise. One of the well-known methods is that segments of database satisfying a query was rapidly accessed and processed. So if it is possible to search completely parallel multiple database segment types which satisfy a query, the response time of the query will be reduced. The matter of obtaining CPS(Completely Parallel Searchable) distribution without redundancy can be viewed as graph theoretic problem, and the operation of ring sum on the graph is used for CPS. In this paper, the parallel algorithm is proposed.

• Structural Engineering and Mechanics
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• 제14권6호
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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.

• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.77-92
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• 2005

An efficient parallel algorithm is presented to find a maximum weight independent set of a permutation graph which takes O(log n) time using O($n^2$/ log n) processors on an EREW PRAM, provided the graph has at most O(n) maximal independent sets. The best known parallel algorithm takes O($log^2n$) time and O($n^3/log\;n$) processors on a CREW PRAM.

• Journal of applied mathematics & informatics
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• 제17권1_2_3호
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• pp.1-23
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• 2005

The shortest-paths problem is a fundamental problem in graph theory and finds diverse applications in various fields. This is why shortest path algorithms have been designed more thoroughly than any other algorithm in graph theory. A large number of optimization problems are mathematically equivalent to the problem of finding shortest paths in a graph. The shortest-path between a pair of vertices is defined as the path with shortest length between the pair of vertices. The shortest path from one vertex to another often gives the best way to route a message between the vertices. This paper presents an $O(n^2)$ time sequential algorithm and an $O(n^2/p+logn)$ time parallel algorithm on EREW PRAM model for solving all pairs shortest paths problem on circular-arc graphs, where p and n represent respectively the number of processors and the number of vertices of the circular-arc graph.

• 전자공학회논문지B
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• 제30B권1호
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• pp.10-17
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• 1993

This paper analyzes succinct graph descriptions and its complexity of connectivity problems on context free graph languages under various restrictions. It defines SNLC(Simple Context Free Node Label Controlled) grammar and presents reduction method that solves graph problems without expanding the hierarchical description. It exemplifies the method by giving efficient solutions to connectivity problems on graphs and presents parallel algorithm for reduction and analyzes the complexity. Its results will help application of desing for NETWORK. CAD. VLSI and other engineering problems.

• Journal of applied mathematics & informatics
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• 제5권1호
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• pp.141-152
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• 1998

Based on the geometric representation an efficient al-gorithm is designed to find all articulation points of a permutation graph. The proposed algorithm takes only O(n log n) time and O(n) space where n represents the number of vertices. The proposed se-quential algorithm can easily be implemented in parallel which takes O(log n) time and O(n) processors on an EREW PRAM. These are the first known algorithms for the problem on this class of graph.

• 정보과학회 컴퓨팅의 실제 논문지
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• 제23권3호
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• pp.156-164
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• 2017

두 그래프의 유사도를 측정하는 문제는 다양한 응용분야에서 그래프 문제를 해결하기 위한 기본적인 도구 중 하나이다. 대부분 그래프 알고리즘들은 정점과 간선의 개수를 기반으로 한 시간 복잡도를 가진다. 최근 GPU는 낮은 가격 대비 높은 계산 능력을 제공하기 때문에 그래프 응용에서 수행 시간을 개선하기 위해 널리 활용되고 있다. 본 논문에서는 GPU 환경에서 CUDA를 사용하여 그래프의 유사도를 측정하기 위한 효율적인 병렬 알고리즘을 제안한다. 제안된 알고리즘의 평가를 위해 CPU 기반 알고리즘과 비교하였으며 실험적 결과를 통하여 제안된 방법이 성능과 효율성에서 상당한 개선이 있음을 보인다. 또한 그래프의 크기가 클수록 제안된 알고리즘의 성능이 더 개선됨을 보인다.

• 한국정보과학회논문지:시스템및이론
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• 제33권7호
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• pp.448-453
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• 2006

본 논문은 평면 그래프를 위한 병렬 depth-first search (DFS) 알고리즘 [SIAM J. Comput., 19 (1990) 678-704]을 비 평면일 (non-planar) 수 있는 grid 그래프의 한 종류인 solid grid 그래프에 대해서도 수행 가능하도록 확장된 알고리즘을 제안한다. 제안 알고리즘은 Priority PRAM 모델에서 $O(n/sqrt{log\;n})$개의 프로세서로 수행했을 때 O(log n)의 병렬 시간이 소요된다. 우리의 지식으로, 이는 비 평면 그래프를 위한 첫 번째 결정적 NC (deterministic NC) 알고리즘이다.

• 전자공학회논문지
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• 제53권6호
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• pp.80-87
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• 2016

본 논문에서는 그래프 컬러링과 OpenMP를 사용한 병렬 메쉬 스무딩 알고리즘을 제안하고 공유메모리 기반의 슈퍼컴퓨터를 이용하여 제안하는 병렬 메쉬 스무딩 알고리즘의 성능 분석을 수행하였다. 제안하는 병렬 메쉬 스무딩 알고리즘은 그래프 컬러링 방법을 통해 전체 메쉬를 여러 개의 독립적인 집합 (색깔)으로 나눈 후 각각의 독립적인 집합에 대하여 OpenMP 라이브러리를 사용하여 순차적으로 병렬 메쉬 스무딩을 수행하는 방법이다. 실험을 통하여 여러 가지 그래프 컬러링 방법과 색깔 순서 재배열 방법이 병렬 메쉬 스무딩의 효율성에 미치는 영향에 대해서 알아보았다. 또한, OpenMP의 루프 스케줄링 방법이 병렬 메쉬 스무딩의 효율성에 끼치는 영향에 대해서 알아보았다.

• Journal of applied mathematics & informatics
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• 제8권2호
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• pp.387-401
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• 2001

If the distance between two vertices becomes longer after the removal of a vertex u, then u is called a hinge vertex. In this paper, a linear time sequential algorithm is presented to find all hinge vertices of an interval graph. Also, a parallel algorithm is presented which takes O(n/P + log n) time using P processors on an EREW PRAM.