• Journal of Korean Society of Industrial and Systems Engineering
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• v.24 no.68
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• pp.21-30
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• 2001

The purpose of this study is to present methods for determining the k most vital arcs (k-MVAs) in the minimum spanning tree problem(MSTP) using evolutionary algorithms. The problem of finding the k-MVAs in MSTP is to find a set of k arcs whose simultaneous removal from the network causes the greatest increase in the total length of minimum spanning tree. Generally, the problem which determine the k-MVAs in MSTP has known as NP-hard. Therefore, in order to deal with the problem of real world the heuristic algorithms are needed. In this study we propose to three genetic algorithms as the heuristic methods for finding the k-MVAs in MSTP. The algorithms to be presented in this study are developed using the library of the evolutionary algorithm framework(EAF) and the performance of the algorithms are analyzed through the computer experiment.

• Annual Conference on Human and Language Technology
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• 2010.10a
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• pp.68-72
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• 2010

본 논문에서는 그래프 기반의 최대신장트리(Maximum Spanning Tree)를 이용한 한국어 의존구문분석 방법을 제안한다. 우리는 최대신장트리 알고리즘을 한국어의 특성인 지배성분 후위의 원칙과 투사성의 원칙을 적용하여 한국어 의존구문분석에 적합한 알고리즘을 만들었다. 제안한 알고리즘은 기존의 한국어 의존구문분석의 방법들보다 낮은 시간복잡도를 가지며 대용량 말뭉치를 학습하기 위해 증분학습이 가능하고 비교적 학습속도가 빠른 Averaged Perceptron 알고리즘을 사용하였다. 실험결과 제안한 방법은 비교적 열악한 환경인 복문이 포함된 장문의 문장에서도 뛰어난 성능을 보여주었다,

• KIPS Transactions on Computer and Communication Systems
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• v.2 no.5
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• pp.191-198
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• 2013

It is required to transmit data through shorter path between sensor and base node for real time intrusion detection in wireless sensor networks (WSN) with a mobile base node. Because minimum Wiener index spanning tree (MWST) based routing approach guarantees lower average hop count than that of minimum spanning tree (MST) based routing method in WSN, it is known that MWST based routing is appropriate for real time intrusion detection. However, the minimum Wiener index spanning tree problem which aims to find a spanning tree which has the minimum Wiener index from a given weighted graph was proved to be a NP-hard. And owing to its high dependency on certain nodes, minimum Wiener index tree based routing method has a shorter network lifetime than that of minimum spanning tree based routing method. In this paper, we propose a multi-objective ant colony optimization algorithm to tackle these problems, so that it can be used to detect intrusion in real time in wireless sensor networks with a mobile base node. And we compare the results of our proposed method with MST based routing and MWST based routing in respect to average hop count, network energy consumption and network lifetime by simulation.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.27 no.10C
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• pp.902-911
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• 2002

A wireless ad-hoc network is a collection of wireless mobile hosts forming a temporary network without the aid of any centralized adminstration or standard support services. Wireless ad-hoc networks may be quite useful in that they can be instantly deployable and resilient to change. In this environment, for many crucial distributed applications, it is necessary to design robust virtual infrastructures that are fault-tolerant, self-stabilized, and resource-efficient. For this task this paper proposes a scheme of maintaining robust spanning trees which are little affected by topological changes. By maintaining such a spanning tree and adapting it to the environments with frequent topological changes, one can improve the reliability and efficiency of many applications that use the spanning tree.

• Journal of applied mathematics & informatics
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• v.27 no.5_6
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• pp.1307-1318
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• 2009

An infinite locally finite plane graph is an LV-graph if it is 3-connected and VAP-free. In this paper, as a preparatory work for solving the problem concerning the existence of a spanning 3-tree in an LV-graph, we investigate the existence of a spanning 3-forest in a bridge of type 0,1 or 2 of a tight semi ring in an LV-graph satisfying certain conditions.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.12 no.3
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• pp.51-61
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• 2012

This paper suggests an algorithm that obtains Directed Graph Minimum Spanning Tree (DMST), using Prim MST algorithm which is Minimum Spanning Tree (MST) of undirected graph. At first, I suggested the Prim DMST algorithm that chooses Minimum Weight Arc(MWA) from out-going nodes from each node, considering differences between undirected graph and directed graph. Next, I proved a disadvantage of Prim DMST algorithm and Chu-Liu/Edmonds DMST (typical representative DMST) of not being able to find DMST, applying them to 3 real graphs. Last, as an algorithm that can always find DMST, an advanced Prim DMST is suggested. The Prim DMST algorithm uses a method of choosing MWA among out-going arcs of each node. On the other hand, the advanced Prim DMST algorithm uses a method of choosing a coinciding arc from the out-going and in-going arcs of each node. And if there is no coinciding arc, it chooses MWA from the out-going arcs from each node. Applying the suggested algorithm to 17 different graphs, it succeeded in finding the same DMST as that found by Chu-Liu/Edmonds DMST algorithm. Also, it does not require such a complicated calculation as that of Chu-Liu/Edmonds DMST algorithm to delete the cycle, and it takes less time for process than Prim DMST algorithm.

• Journal of the Korea Society of Computer and Information
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• v.19 no.7
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• pp.131-140
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• 2014

In this paper, we present an efficient implementation of Kruskal's algorithm to obtain a minimum spanning tree. The proposed method utilizes the union-find data structure, reducing the depth of the tree of the node set by making the nodes in the path to root be the child node of the root of combined tree. This method can reduce the depth of the tree by shortening the path to the root and lowering the level of the node. This is an efficient method because if the tree's depth reduces, it could shorten the time of finding the root of the tree to which the node belongs. The performance of the proposed method is evaluated through the graphs generated randomly. The results showed that the proposed method outperformed the conventional method in terms of the depth of the tree.

• ETRI Journal
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• v.30 no.2
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• pp.341-343
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• 2008

This letter presents an angular minimum spanning tree (AMST) algorithm for topology control in multi-hop wireless ad hoc networks. The AMST algorithm builds up an MST for every angular sector of a given degree around each node to determine optimal transmission power for connecting to its neighbors. We demonstrate that AMST preserves both local and network-wide connectivity. It also improves robustness to link failure and mitigates transmission power waste.

• Proceedings of the Korean Information Science Society Conference
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• 2003.04a
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• pp.806-808
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• 2003

이차원 평면에 주어진 n 개의 점을 연결하는 신장 트리(spanning tree) 중에서, 지름이 최소가 되는 최소지름 신장 트리는 특정 점에서의 분지수가 n-1 까지 증가할 수 있다. 본 논문에서는 트리의 분지수(degree)를 입력으로 받아 그 분지수를 넘지 않는 신장 트리를 구성하면서 트리의 지름은 최소 지름의 상수 배를 넘지 않도록 하는 구성 방법을 제안한다.

• Journal of the Korea Society of Computer and Information
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• v.20 no.3
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• pp.107-113
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• 2015

This paper presents a polynomial time algorithm to the minimum cardinality feedback edge set and minimum weight feedback edge set problems. The algorithm makes use of the property wherein the sum of the minimum spanning tree edge set and the minimum feedback edge set equals a given graph's edge set. In other words, the minimum feedback edge set is inherently a complementary set of the former. The proposed algorithm, in pursuit of the optimal solution, modifies the minimum spanning tree finding Kruskal's algorithm so as to arrange the weight of edges in a descending order and to assign cycle-deficient edges to the maximum spanning tree edge set MXST and cycle-containing edges to the feedback edge set FES. This algorithm runs with linear time complexity, whose execution time corresponds to the number of edges of the graph. When extensively tested on various undirected graphs both with and without the weighed edge, the proposed algorithm has obtained the optimal solutions with 100% success and accuracy.