• Journal of applied mathematics & informatics
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• 제5권3호
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• pp.771-784
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• 1998

In this paper we propose an algorithm for generating minimal cutsets of undirected graphs. The algorithm is based on a blocking mechanism for generating every minimal cutest ex-actly once. The algorithm has an advantage of not requiring any preliminary steps to find minimal cutsets. The algorithm generates minimal cutsets at O(e.n) {where e,n = number of (edges, vertices) in the graph} computational effort per cutset. Formal proofs of the algorithm are presented.

• 한국컴퓨터정보학회논문지
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• 제19권7호
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• pp.103-111
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• 2014

본 논문은 실시간 GPS 항법시스템에서 최단경로 탐색에 일반적으로 적용되고 있는 Dijkstra 알고리즘을 양방향 통행로(무방향그래프)로만 구성된 도로에 적용하고 문제점을 개선한 알고리즘을 제안하였다. Dijkstra 알고리즘은 방향 그래프에서 출발 노드부터 시작하여 그래프의 모든 노드에 대한 최단경로를 결정하기 때문에 알고리즘 수행에 많은 메모리가 요구되어 실시간으로 정보를 제공하지 못할 수도 있다. 이러한 문제점을 해결하고자, 본 논문에서는 무방향 그래프에 적합하도록 출발과 목적지 정점을 제외한 경로 정점들에 대해 최단경로를 설정하고, 출발 정점부터 시작하여 정점 유출 간선들에 대해 최단경로 설정 간선들과 일치하는 간선들을 모두 선택하는 방식으로 한 번에 다수의 정점들을 탐색하는 방법을 택하였다. 9개의 다양한 무방향 그래프에 제안된 알고리즘을 적용한 결과 모두 최단경로를 탐색하는데 성공하였다. 또한, 수행 속도 측면에서 Dijkstra 알고리즘보다 약 60%를 단축시키는 효과를 얻었으며, 알고리즘 수행에 필요한 메모리도 월등히 적게 요구되었다.

• KSII Transactions on Internet and Information Systems (TIIS)
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• 제13권6호
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• pp.3316-3332
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• 2019

In a transitive signature scheme, a signer wants to authenticate edges in a dynamically growing and transitively closed graph. Using transitive signature schemes it is possible to authenticate an edge (i, k), if the signer has already authenticated two edges (i, j) and (j, k). That is, it is possible to make a signature on (i, k) using two signatures on (i, j) and (j, k). We propose the first transitive signature schemes for undirected graphs from lattices. Our first scheme is provably secure in the random oracle model and our second scheme is provably secure in the standard model.

• 산업경영시스템학회지
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• 제24권63호
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• pp.23-31
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• 2001

Data mining can be either directed or undirected. One way of thinking about it is that we use undirected data mining to recognize relationship in the data and directed data mining to explain those relationships once they have been found. Several data mining techniques have received considerable research attention. In this paper, we propose an algorithm for discovering association rules as directed data mining and applying them to classification. In the first phase, we find frequent closed itemsets and association rules. After this phase, we construct the decision trees using discovered association rules. The algorithm can be applicable to customer relationship management.

• Journal of Information Processing Systems
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• 제15권6호
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• pp.1365-1377
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• 2019

Summarizing the differences in Chinese-Vietnamese bilingual news plays an important supporting role in the comparative analysis of news views between China and Vietnam. Aiming at cross-language problems in the analysis of the differences between Chinese and Vietnamese bilingual news, we propose a new method of summarizing the differences based on an undirected graph model. The method extracts elements to represent the sentences, and builds a bridge between different languages based on Wikipedia's multilingual concept description page. Firstly, we calculate the similarity between Chinese and Vietnamese news sentences, and filter the bilingual sentences accordingly. Then we use the filtered sentences as nodes and the similarity grade as the weight of the edge to construct an undirected graph model. Finally, combining the random walk algorithm, the weight of the node is calculated according to the weight of the edge, and sentences with highest weight can be extracted as the difference summary. The experiment results show that our proposed approach achieved the highest score of 0.1837 on the annotated test set, which outperforms the state-of-the-art summarization models.

• 한국경영과학회:학술대회논문집
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• 대한산업공학회/한국경영과학회 1992년도 춘계공동학술대회 발표논문 및 초록집; 울산대학교, 울산; 01월 02일 May 1992
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• pp.202-202
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• 1992

• 경영과학
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• 제26권1호
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• pp.65-76
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• 2009

The undirected Steiner tree problem in graphs is known to be NP-hard. The objective of this problem is to find a shortest tree containing a subset of nodes, called terminal nodes. This paper proposes a method based on a two-step procedure to solve this problem efficiently. In the first step. graph reduction rules eliminate useless nodes and edges which do not contribute to make an optimal solution. In the second step, a max-min ant colony optimization combined with Prim's algorithm is developed to solve the reduced problem. The proposed algorithm is tested in the sets of standard test problems. The results show that the algorithm efficiently presents very correct solutions to the benchmark problems.

• 한국멀티미디어학회논문지
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• 제22권2호
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• pp.210-224
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• 2019

Given a positive integer k as input, a spatial preference query finds the k best data objects based on the scores (e.g., qualities) of feature objects in their spatial neighborhoods. Several solutions have been proposed for spatial preference queries in Euclidean space. A few algorithms study spatial preference queries in undirected spatial networks where each edge is undirected and the distance between two points is the length of the shortest path connecting them. However, spatial preference queries have not been thoroughly investigated in directed spatial networks where each edge has a particular orientation that makes the distance between two points noncommutative. Therefore, in this study, we present a new method called ALPS+ for processing spatial preference queries in directed spatial networks. We conduct extensive experiments with different setups to demonstrate the superiority of ALPS+ over conventional solutions.

• 한국컴퓨터정보학회논문지
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• 제12권2호
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• pp.181-188
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• 2007

무향 Rural postman problem(URPP)은 주어진 네트워크에서 특정 아크를 적어도 한 번씩 경유하는 최단 경로를 찾는 문제이다. URPP는 실생활의 다양한 문제를 풀기 위한 기본적인 네트워크 문제 중에 하나이며 NP-Complete 문제로 알려져 있다. URPP는 아크 중심의 문제로 아크의 라우팅 방향을 고려하여야 하며, 노드 중심의 문제인 TSP(Traveling Salesman Problem) 해법을 그대로 적용하는 것은 힘들다. 본 논문에서는 URPP 해법을 위한 유전 알고리즘에서 그래프 변환에 의한 디코딩 방법을 제안한다. 즉, 아크 중심의 그래프를 노드 중심의 그래프로 변환함으로써 아크의 방향에 상관없이 전체 라우팅 경로를 구할 수 있도록 하였다. 실험을 통해 제안 알고리즘과 기존 알고리즘의 성능을 비교하였다. 실험 결과에서 제안 알고리즘은 기존 알고리즘보다 좋은 결과를 얻을 수 있음을 알 수 있었다.

• 한국경영과학회지
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• 제21권3호
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• pp.215-225
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• 1996

For an undirected stochastic network G, the 2-terminal reliability of G, R(G) is the probability that the specific two nodes (called as terminal nodes) are connected in G. A. typical network reliability problem is to compute R(G). It has been shown that the computation problem of R(G) is NP-hard. So, any algorithm to compute R(G) has a runngin time which is exponential in the size of G. If by some means, the problem size, G is reduced, it can result in immense savings. The means to reduce the size of the problem are the reliability preserving reductions and graph decompositions. We introduce a net set of reliability preserving reductions : the $K^{4}$ (complete graph of 4-nodes)-chain reductions. The total number of the different $K^{4}$ types in R(G), is 6. We present the reduction formula for each $K^{4}$ type. But in computing R(G), it is possible that homeomorphic graphs from $K^{4}$ occur. We devide the homemorphic graphs from $K^{4}$ into 3 types. We develop the reliability preserving reductions for s types, and show that the remaining one is divided into two subgraphs which can be reduced by $K^{4}$-chain reductions 7 polygon-to-chain reductions.