• The KIPS Transactions:PartA
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• v.11A no.3
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• pp.189-198
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• 2004

We consider the fault hamiltonian properties of m ${\times}$ n meshes with two wraparound links on the first row and the last row, denoted by M$_2$(m,n), (m$\geq$2, n$\geq$3). M$_2$(m,n), which is bipartite, with a single faulty link has a fault-free path of length mn-l(mn-2) between arbitrary two nodes if they both belong to the different(same) partite set. Compared with the previous works of P$_{m}$ ${\times}$C$_{n}$ , it also has these hamiltonian properties. Our result show that two additional wraparound links are sufficient for an m${\times}$n mesh to have such properties rather than m wraparound links. Also, M$_2$(m,n) is a spanning subgraph of many interconnection networks such as multidimensional meshes, recursive circulants, hypercubes, double loop networks, and k-ary n-cubcs. Thus, our results can be applied to discover fault-hamiltonicity of such interconnection networks. By applying hamiltonian properties of M$_2$(m,n) to 3-dimensional meshes, recursive circulants, and hypercubes, we obtain fault hamiltonian properties of these networks.

• Journal of the Korea Society of Computer and Information
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• v.13 no.2
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• pp.221-233
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• 2008

In general, we use a Parallel processing computer manufactured specially for the purpose of parallel processing to do high performance computings. But we can depoly and use a PC cluster composed of several common PCs instead of the very expensive parallel processing computer. A common way to get a PC cluster is to adopt the star topology network connected by a switch hub. But in this paper, we grope efficient implementations of hypercube networks based on TCP/IP to connect 8 PCs directly for more useful parallel processing environment, and make evaluations on functionality and efficiency of them using ping, netperf, MPICH. The two proposed methods of implementation are IP configuration based on link and IP configuration based on node. The results of comparison between them show that there is not obvious difference in performance but the latter is more efficient in simplicity of routing table. For verification of functionality, we compare the parallel processing results of an application in them with the same in a star network based PC cluster. These results also show that the proposed hypercube networks support a perfect parallel processing environment respectively.

• Journal of Korea Multimedia Society
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• v.12 no.10
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• pp.1386-1396
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• 2009

Most decision support functions of spatial data warehouse rely on the OLAP operations upon a spatial cube. Meanwhile, higher performance is always guaranteed by indexing the cube, which stores huge amount of pre-aggregated information. Hierarchical Dwarf was proposed as a solution, which can be taken as an extension of the Dwarf, a compressed index for cube structures. However, it does not consider the spatial dimension and even aggregates incorrectly if there are redundant values at the lower levels. OLAP-favored Searching was proposed as a spatial hierarchy based OLAP operation, which employs the advantages of R-tree. Although it supports aggregating functions well against specified areas, it ignores the operations on the spatial dimensions. In this paper, an indexing approach, which aims at utilizing the concept hierarchy of the spatial cube for decision support, is proposed. The index consists of concept hierarchy trees of all dimensions, which are linked according to the tuples stored in the fact table. It saves storage cost by preventing identical trees from being created redundantly. Also, it reduces the OLAP operation cost by integrating the spatial and aspatial dimensions in the virtual concept hierarchy.

• Proceedings of the Korean Information Science Society Conference
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• 2008.06a
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• pp.357-358
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• 2008

폴디드 하이퍼스타 FHS(2n,n)은 하이퍼큐브와 그의 변형된 그래프보다 망 비용이 개선된 상호연결망이다. 본 논문에서는 폴디드 하이퍼스타 FHS(n-1,k-1)와 FHS(n-1,k) 그래프를 연결하여 폴디드 하이퍼스타 FHS(n,k)를 생성하는 방법을 제시하였다(단, n=2k). 또한, 정규 연결망 형태인 폴디드 하이퍼스타 FHS(2n,n)의 노드연결도는 n+1이고, 최대고장허용도를 가짐을 보인다.

• Journal of KIISE:Computer Systems and Theory
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• v.26 no.6
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• pp.683-692
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• 1999

관계형 데이터베이스 시스템에서 결합 연산자는 데이터베이스 질의를 구성하는 연산자들 중 가장 많은 처리시간을 요구한다. 따라서 이러한 결합연산자를 효율적으로 처리하기 위해 많은 병렬 알고리즘들이 소개되었다. 그 중 하이브리드 해쉬 결합 알고리즘은 가장 우수한 것으로 알려져왔다. 그러나 이 알고리즘은 여러 노드로 데이터를 분할하는 과정에서 데이터의 편중 문제가 발생하며, 이는 전체 시스템의 성능을 크게 저하시키게된다. 본 논문에서는 이러한 데이터 편중문제를 해결한 변형된 하이퍼퀵 정렬을 이용한 병렬 결합 알고리즘을 non-equijoin을 위한 알고리즘으로 확장하였다. 또한 T805로 연결된 하이퍼큐브 구조 시스템에서 시뮬레이션하여 얻은 결과를 수치 계산적 비용모델의 결과와 비교를 통해 변형된 하이퍼 퀵 정렬을 이용한 병렬 결합 알고리즘의 성능을 분석하고 , 비용모델의 타당성을 입증하였다.

• Proceedings of the Korean Society of Computer Information Conference
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• 2024.01a
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• pp.387-390
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• 2024

본 논문에서는 효율적인 2차 오차 함수를 이용하여 입자 기반에서 EMC(Extended Marching Cubes) 알고리즘을 구현할 수 있는 새로운 알고리즘을 제안한다. Smoothing 커널(Kernels)을 통해 계산한 입자 평균 위치에서 레벨셋(Level-set)을 계산해 스칼라장을 구축한다. 그리고 난 뒤 SPH(Smoothed particle hydrodynamics)기반의 커널을 통해 밀도, 입자 평균 위치를 계산한다. 스칼라장을 이용해 등가 곡면(Isosurface)을 찾고 음함수로 표현된 표면을 구성한다. SPH 커널을 공간에서 미분하면 공간상의 어느 위치에서나 기울기를 계산할 수 있고, 이를 통해 얻어진 법선벡터를 이용하여 일반적인 EMC나 DC(Dual contouring)에서 사용하는 2차 오차 함수를 효율적으로 설계한다. 결과적으로 제안하는 방법은 메쉬와 같이 연결정보다 없는 입자 기반 데이터에서도 EMC 알고리즘을 구현하여 볼륨(Volume) 손실을 줄이고, 복잡한 음함수 표면을 표현할 수 있게 한다.

• Journal of Korea Multimedia Society
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• v.6 no.3
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• pp.556-564
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• 2003

A Star and Pancake graph also have such a good property of a hypercube and have a low network cost than the hypercube. A Macro-star graph which has the star graph as a basic module has the node symmetry, the maximum fault tolerance, and the hierarchical decomposition property. And, it is an interconnection network which improves the network cost against the Star graph. In this paper, we propose a method to embed between Star graph, Pancake graph, and Macro-star graph using the edge definition of graphs. We prove that the Star graph $S_n$ can be embedded into Pancake graph $P_n$ with dilation 4, and Macro-star graph MS(2,n) can be embedded into Pancake graph $P_{2n＋1}$ with dilation 4. Also, we have a result that the embedding cost, a Pancake graph can be embedded into Star and Macro-star graph, is O(n).

• Journal of Internet Computing and Services
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• v.4 no.6
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• pp.25-31
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• 2003

Multistage Interconnection networks (MIN) for the high performance computing and communications must be efficient and reliable. While a number of fault tolerance schemes have been developed, some of them are not efficient enough with respect to all evaluation measures or overheads of others are too significant. In this paper we develop a new efficient fault tolerant MIN which displays high reliability and fault tolerance capability using a simple structure. Structure and reliabilities of Enhanced Cube Network are evaluated and compared with previous designs to show the effectiveness of new design.

• Proceedings of the Korean Information Science Society Conference
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• 2001.04a
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• pp.718-720
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• 2001

본 논문에서는 하이퍼큐브보다 망 비용이 개선된 상호연결망 HCN(n,n)의 임의의 두 노드간에 노드중복하지 않는 n+1개의 병렬경로를 구성하는 방법을 제시하고, 그 결과를 통하여 HCN(n,n)의 고장지름이 dia(HCN(n,n))+4 이하임을 보인다. 이러한 병렬경로는 노드간에 메시지를 전송하는 시간을 줄일 수 있으며, HCN(n,n)의 노드 몇 개가 고장이 발생해도 통신지연시간이 발생하지 않음을 의미한다.

• The KIPS Transactions:PartA
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• v.12A no.6 s.96
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• pp.499-506
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• 2005

Recently, Hyper-Star network HS(m,k) which improves the network cost of hypercube has been proposed. In this paper, we show that the bisection width of regular Hyper-Star network HS(2n,n) is maximum (2n-2,n-1). Using the concept of container, we also show that k-wide diameter of HS(2n,n) is less than dist(u,v)+4, and the fault diameter is less than D(HS(2n,n))+2, where dist(u,v) is the shortest path length between any two nodes u and v in HS(2n,n), and D(HS(2n,n)) is its diameter.