• The Transactions of the Korea Information Processing Society
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• v.5 no.1
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• pp.40-48
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• 1998

Linear size expanders have been studied in many fields for the practical use, which make it possible to connect large numbers of device chips in both parallel communication systems and parallel computers. One major limitation on the efficiency of parallel computer designs has been the highly cost of parallel communication between processors and memories. Linear order concentrators can be used to construct theoretically optimal interconnection network schemes. Existing explicitly defined constructions are based on expanders, which have large constant factors, thereby rendering them impractical for reasonable sized networks. For these objectives, we use the more detailed matching points in permutation functions, to find out the bigger expansion constant from an equation, $\mid\Gamma_x\mid\geq[1+d(1-\midX\mid/n)]\midX\mid$. This paper presents an improvement of expansion constant on constructing concentrators using expanders, which realizes the reduction of the size in a superconcentrator by a constant factor. As a result, this paper shows an explicit construction of (n, 5, $1-\sqrt{3/2}$) expander. Thus, superconcentrators with 209n edges can be obtained by applying to the expanders of Gabber and Galil's construction.

• Journal of the Institute of Electronics Engineers of Korea SC
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• v.39 no.1
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• pp.24-32
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• 2002

This paper is concerned with the fault diagnosis for stuck-at faults of a multistage interconnection network(MIM) which is a kind of interconnection networks in multicomputer systems. Up to the present, a fault diagnosis scheme has dealt with a fault model of all types, which results in complicated algorithms. In the literature, it is shown that a number of steps and computation are required for the fault detection and isolation algorithms for a class of MINs. In this paper, we propose a simple and easily implementable algorithm for the detection and isolation of the stuck-at fault in MIM. specifically, we develope an at algorithm for the isolation of the source fault in switching elements whenever tile stuck-at fault is detected in MINs. After all, the proposed algorithm is illustrated by an example of 16$\times$16 baseline networks of MINs.

• The Journal of the Korea Contents Association
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• v.5 no.1
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• pp.179-187
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• 2005

Linear order Concentrators and Superconcentrators have been studied extensively for their ability to interconnect large numbers of devices in parallel, whether in communication systems or in parallel computers. One major limitation on the efficiency of parallel computer designs has been the prohibitively high cost of parallel communication between processors and memories. Linear order concentrators, O(n), can be used to construct theoretically optimal interconnection network schemes. Existing explicitly the defined constructions are based on expanders, which have large constant factors, thereby rendering them impractical lot reasonable sized networks. It demands the construction of concentrator which uses the expander with the smaller expansion constant. This paper introduces an improvement on the method of constructing concentrators using expanders, which reduce the size of resulting concentrator built from any given expander by a constant factor.

• Information and Communications Magazine
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• v.29 no.5
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• pp.37-41
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• 2012

본고에서는 수많은 구성요소가 하나의 계를 이루면서 단순하지 않은 방식으로 서로 얽혀있는 상호작용을 하는 복잡계 연결망에서의 정보 확산에 관한 연구 동향을 살펴보고자 한다. 특히 복잡계 연결망 이론은 실생활에서 나타나는 다양한 연결구조와 이와 관련된 사회현상을 자연과학의 이론을 통해 분석 및 해석하는 분야로, 다양한 학제간의 융합연구로 각광받고 있다. 특히 복잡계 연결망의 최근 연구 결과를 비롯하여 실생활에 존재하는 다양한 대용량 자료를 활용한 사회 동역학과 정보 확산에 관한 최근 연구 동향 분석을 통해 재해의 확산 및 재난 상황에서의 행동 양상 형성 및 전파 등의 연구에 활용하고자 한다.

• Proceedings of the Korea Society for Industrial Systems Conference
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• 2000.11a
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• pp.397-408
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• 2000

상호접속개요 상호접속이란, 통신 사업자간 각각 소유한 통신망을 상호 접속하여 사용 ex)데이콤이 자사 시외전화서비스를 위해 한국통신 시내 망에 접속 공정한 접속이용료 산정 및 정산에 대해 사업자간에 이해관계. 상호접속의 중요성 1.정책적 측면; 경쟁환경의 조기조성-이용자편익증진 2.경제적 측면; 불필요한 중복투자방지-망효율성 향상 3.망외부성(network externality); 네트웍에 연결되는 이용자의 증가보다, 연결된 네트웍 가치가 빠르게 증가.(중략)

• The Transactions of the Korea Information Processing Society
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• v.5 no.12
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• pp.3099-3108
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• 1998

본 논문에서는 새로운 다중 컴퓨터의 위상으로 하이퍼-스타 그래프를 제안하고, 하이퍼-스타 그래프에 대하여 주요 망 척도인 분지수, 연결도, 확장성, 라우팅, 지름, 임베딩 등의 특징을 분석한다. 하이퍼-스타 그래프 HS(2n,n)에 에지를 한 개 추가한 folded 하이퍼-스타 그래프 FHS(2n,n)은 2nCn개의 노드를 갖고 널리 알려진 상호 연결망인 하이퍼큐브에 비해 상대적으로 분지수와 지름이 작은 값을 갖는 연결망이다. Folded 하이퍼-스타 그래프 FHS(2n,n)가 하이퍼큐브 Qn이 같은 노드 수를 가질 때 분지수$\times$지름에 대한 척도에 있어서 은 n2/2보다 작고, 하이퍼큐브 Qn와 그의 변형들보다 연결망의 망 비용에 있어서 우수함을 의미한다. 또한 하이퍼큐브 Qn과 n$\times$n 토러스를 하이퍼-스타 그래프 HS(2n,n)에 연장비율 2에 임베딩하는 방법을 보인다.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.22 no.6
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• pp.1137-1147
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• 1997

I propose a RZETA network consisted of switching elements(SEs) that have regular links and alternate links. A modified Zeta nework used for the RZETA network's regular links and a MIN used for its alternate links are generated using the graph theory. The RZETA network is driven from merging the formaer and latter MINs. A necessary and sufficient condition for modified Zeta network to be a nonblocking network is also presented. This condition is a ufficient condition for RZETA network with a faulty link or a faulty SE to be nonblocked. Performance of the RZETA network is analyzed by modification of the model of 2-dilated Banyan network and its performance is compared with existing redundant path networks, when packet arrival rate of each source is 1.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.18 no.6
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• pp.1361-1368
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• 2014

In this paper, we analyze emddings among HFCube(n,n), HCN(n,n), HFN(n,n) with lower network cost than that of Hypercube. The results are as follows. We propose that $Q_{2n}$ can be embedded into HFCube(n,n) with dilation 5, congestion 2. HCN(n,n) and HFN(n,n) are subgraphs of HFCube(n,n). HFCube(n,n) can be embedded into HFN(n,n) with dilation 3. HFCube(n,n) can be embedded into HCN(n,n) with dilation O(n). The results will be helpful to analyze several efficient properties in each interconnection network.

• Proceedings of the Korea Information Processing Society Conference
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• 2002.11a
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• pp.111-114
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• 2002

임베딩은 어떤 연결망이 다른 연결망 구조에 포함 혹은 어떻게 연관되어 있는지를 알아보기 위해 어떤 특정한 연결망을 다른 연결망에 사상하는 것으로, 특정한 연결망에서 사용하던 여러 가지 알고리즘을 다른 연결망에서 효율적으로 이용할 수 있도록 한다. 본 논문에서는 $2^{2n-k}\times2^k$ 토러스를 HFN(n,n)에 연장율 3, 밀집율 4 로 임베딩 가능함을 보이고, HFN(n,n)을 $2^{2n-k}\times2^k$ 토러스에 연장율 O(N)으로 임베딩됨을 보인다($N=2^n$).

• The KIPS Transactions:PartA
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• v.17A no.3
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• pp.113-120
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• 2010

Even networks were introduced as a class of fault-tolerant multiprocessor networks and analyzed so many useful properties and algorithms such as simple routing algorithms, maximal fault tolerance, node disjoint path. Introduced routing algorithms and node disjoint path algorithms are proven to be optimal. However, it has not been introduced to constructing scheme for edge-disjoint spanning trees in even networks. The design of edge-disjoint spanning trees is a useful scheme to analyze for measuring the efficiency of fault tolerant of interconnection network and effective broadcasting. Introduced routing algorithm or node disjoint path algorithm are for the purpose of routing or node disjoint path hence they are not applicable to constitute edge disjoint spanning tree. In this paper, we show a construction algorithm of edge-disjoint spanning trees in even network $E_d$.