• Proceedings of the Korean Society of Computer Information Conference
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• 2010.07a
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• pp.429-432
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• 2010

그래프 분할 문제는 각각의 가중치가 주어진 에지와 노드를 정해진 목적에 맞게 몇 개의 그룹으로 분할하는 문제이다. 이 문제는 휴리스틱 방법으로 해결되어져 왔으나, NP-hard 문제로 인한 지역 최적해에 빠지기 쉬운 단점을 갖는다. 유전자 알고리즘이 해결 방법으로 제시되고 있는 가운데 단순 유전자 알고리즘에서 초기의 모집단 메모리(population memory)를 이용하여 적은 크기의 모집단을 생성하고 외부메모리에 최적해들을 저장하고 있어 GA의 효율성을 높이며, 다수의 지역 최적해에 빠지지 않게 하며 수렴 속도를 향상시키는 마이크로 유전자 알고리즘을 적용한다. ${\mu}$-GA를 통해 본 논문에서는 클러스터들의 가중치를 비교적 동일하게 하는 GPP를 해결하고자 한다.

• Journal of KIISE:Computer Systems and Theory
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• v.26 no.1
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• pp.107-116
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• 1999

대칭성(symmetry)은 그래프의 구조와 특성을 시각적으로 표현할 때 중요한 미적 기준 중의 하나이다. 또한 대칭성을 보여주는 드로잉은 전체 그래프가 크기가 작은 부그래트들로부터 반복적으로 구성됨을 보여줌으로써 전체 그래프에 대한 이해를 쉽게 푸는 해주는 장점이 있다. 하지만 일반적인 그래프에서 기하하적 대칭성(geometric symmetry)을 탐지하는 문제는 이미 NP-complete 임이 증명되었으므로 이에 대한 연구는 평면 그래프(planar graph)의 극히 제한적인 부분집합인 트리, 외부 평면 그래프, 임베딩된 (embedded) 평면 그래프 등에 초점이 맞추어져 왔다. 본 논문에서는 평면 그래프에서의 기하학적 대칭성 문제를 연구하였다. 평면 그래프를 이중 연결 성분들로 분할한 다음 이를 각각 다시 삼중 연결 성분들로 분할하여 트리를 구성하고 축소(reduction)개념을 도입함으로써 기하학적 대칭성을 탐지하는 O(n2)시간 알고리즘을 제시하였다. 여기서 n은 그래프의 정점의 개수이다. 이 알고리즘은 평면 그래프를 최대한 대칭적으로 드로잉하는 알고리즘 개발에 이용될 수 있다.

• Proceedings of the Korean Information Science Society Conference
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• 2003.04a
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• pp.875-877
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• 2003

그래프 분할문제에서 대량의 그래프 데이터를 처리하는 것은 계산에서 걸리는 시간보다 파일 입출력을 수행하는 데 걸리는 시간의 비중이 크다. 본 논문은 수행 속도와 분할 성능에 있어서 우수한 그래프 분할 알고리즘 중 하나인 Multilevel Graph Partitioning에 대해 입출력 효율을 높일 수 있도록 확장하는 기법을 제안하고 그 구현에 대해 기술한다. 그래프를 컴퓨터의 가용 메모리를 기준으로 서브 그래프로 나누어 메모리 참조의 지역성이 향상되도록 기존의 Multilevel Graph Partitioning을 확장 하였다. 기존의 방식과 제안된 방식을 테스트 그래프들에 적용하여 그 수행시간을 비교한 결과 그래프 데이터의 크기가 컴퓨터의 주 메모리의 용량에 비해 어느 수준 이상으로 커지면서 제안된 알고리즘이 기존의 방식보다 수행시간에 있어서 좋은 결과를 보인다.

• KIPS Transactions on Computer and Communication Systems
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• v.10 no.4
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• pp.93-100
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• 2021

The Ethereum shard system for solving the scalability problem of the blockchain has a load balancing issue, which is modeled as a graph partitioning problem. In this paper, we propose an adaptive online weighted graph partitioning algorithm that can negotiate between two utility of the shard system using the game theory's bargaining solution. The bargaining solution is an axiomatic solution that can fairly determine the points of conflict of utility. The proposed algorithm was improved to apply the existing online graph partitioning algorithm to the weighted graph, and load balancing was performed efficiently through the design considering the situation of the sharding system using the extension of Nash bargaining solution, which is extended to apply solution to non-convex feasible set of bargaining problem. As a result of the experiment, it showed up to 37% better performance than typical load balancing algorithm of shard system.

• The KIPS Transactions:PartC
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• v.9C no.5
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• pp.725-732
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• 2002

Presented is a Genetic Algorithm (GA) for dynamic partitioning an ATM LANE(LAN Emulation) network. LANE proves to be one of the best solutions to provide guaranteed Quality of Service (QoS) for mid-size campus or enterprise networks with minor modification of legacy LAN facilities. However, there are few researches on the efficient LANE network operations to deal with scalability issues arising from broadcast traffic delivery. To cope with this scalability issue, proposed is a decision model named LANE Partitioning Problem (LPP) which aims at partitioning the entire LANE network into multiple Emulated LANs (ELANS), each of which works as an independent virtual LAN.

• Journal of KIISE:Databases
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• v.28 no.3
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• pp.315-323
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• 2001

The concept of vertical partitioning has been discussed so far in an objective of improving the performance of query execution and system throughput. It can be applied to the areas where the match between data and queries affects performance, which includes partitioning of individual files in centralized environments, data distribution in distributed databases, dividing data among different levels of memory hierarchies, and so on. In general, a vertical partitioning algorithm should support n-ary partitioning as well as a globally optimal solution for the generation of all meaningful fragments. Most previous methods, however, have some limitations to support both of them efficiently. Because the vertical partitioning problem basically includes the fuzziness property, the proper management is required for the fuzziness problem. In this paper we propose an efficient vertical $\alpha$-partitioning algorithm which is based on the fuzzy theory. The method can not only generate all meaningful fragments but also support n-ary partitioning without any complex mathematical computations.

• KIPS Transactions on Software and Data Engineering
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• v.7 no.5
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• pp.177-188
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• 2018

The scale of graph data has been increased rapidly because of the growth of mobile Internet applications and the proliferation of social network services. This brings upon the imminent necessity of efficient distributed and parallel graph processing approach since the size of these large-scale graphs are easily over a capacity of a single machine. Currently, there are two popular parallel graph processing approaches, vertex-centric graph processing and block centric processing. While a vertex-centric graph processing approach can easily be applied to the parallel processing system, a block-centric graph processing approach is proposed to compensate the drawbacks of the vertex-centric approach. In these systems, the initial quality of graph partition affects to the overall performance significantly. However, it is a very difficult problem to divide the graph into optimal states at the initial phase. Thus, several dynamic load balancing techniques have been studied that suggest the progressive partitioning during the graph processing time. In this paper, we present a load balancing algorithms for the block-centric graph processing approach where most of dynamic load balancing techniques are focused on vertex-centric systems. Our proposed algorithm focus on an improvement of the graph partition quality by dynamically reassigning blocks in runtime, and suggests block split strategy for escaping local optimum solution.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.11 no.5
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• pp.940-948
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• 2007

Many real world problems can be modeled as a graph and traversals on the graph. The structure of Web pages can be represented as a graph, for example, and user's navigation paths on the Web pages can be model as a traversal on the graph. It is interesting to discover valuable patterns, such as frequent patterns, from such traversals. In this paper, we propose an algorithm to discover frequent traversal patterns when a directed graph and weighted traversals on the graph are given. Furthermore, we propose a performance enhancement by traversal split and then verify it through experiments.

• Journal of the Economic Geographical Society of Korea
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• v.15 no.3
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• pp.343-357
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• 2012

The Seoul metropolitan subway system can be represented by a graph which consists of nodes and edges. In this paper, we study classification of subway stations and trip behaviour of subway passengers through partitioning the graph of the subway system into roughly equal groups. A weight of each edge of the graph is set to the number of passengers who pass the edge, where the number of passengers is extracted from the transportation card transaction database. Since the graph partitioning problem is NP-complete, we propose a heuristic algorithm to partition the subway graph. The heuristic algorithm uses one of two alternative objective functions, one of which is to minimize the sum of weights of edges connecting nodes in different groups and the other is to maximize the ratio of passengers who get on the subway train at one subway station and get off at another subway station in the same group to the total subway passengers. In the experimental results, we illustrate the subway stations and edges in each group by color on a map and analyze the trip behaviour of subway passengers by the group origin-destination matrix.

• 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.