• Title/Summary/Keyword: 최소신장 트리

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Computing a Minimum-Dilation Spanning Tree is NP-hard (최소-Dilation 신장 트리 찾기의 NP-hard 증명)

  • Cheong, Otfried;Haverkort, Herman;Lee, Mi-Ra
    • Proceedings of the Korean Information Science Society Conference
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    • 2006.10a
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    • pp.494-499
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    • 2006
  • Given a set S of n points in the plane, a minimum-dilation spanning tree of S is a tree with vertex set S of smallest possible dilation. We show that given a set S of n points and a dilation $\delta$ > 1, it is NP-hard to determine whether a spanning tree of S with dilation at most $\delta$ exists.

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The MCSTOP Algorithm about the Minimum Cost Spanning Tree and the Optimum Path Generation for the Multicasting Path Assignment (최적 경로 생성 및 최소 비용 신장 트리를 이용한 멀티캐스트 경로 배정 알고리즘 : MCSTOP)

  • Park, Moon-Sung;Kim, Jin-Suk
    • The Transactions of the Korea Information Processing Society
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    • v.5 no.4
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    • pp.1033-1043
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    • 1998
  • In this paper, we present an improved multicasting path assignment algorithm based on the minimum cost spanning tree. In the method presented in this paper, a multicasting path is assigned preferentially when a node to be received is found among the next degree nodes of the searching node in the multicasting path assignment of the constrained steiner tree (CST). If nodes of the legacy group exist between nodes of the new group, a new path among the nodes of new group is assigned as long as the nodes may be excluded from the new multicasting path assignment taking into consideration characteristics of nodes in the legacy group. In assigning the multicasting path additionally, where the source and destination nodes which can be set for the new multicasting path exist in the domain of identical network (local area network) and conditions for degree constraint are satisfied, a method of producing and assigning a new multicasting path is used. The results of comparison of CST with MCSTOP, MCSTOp algorithm enhanced performance capabilities about the communication cost, the propagation delay, and the computation time for the multicasting assignment paths more than CST algorithm. Further to this, research activities need study for the application of the international standard protocol(multicasting path assignment technology in the multipoint communication service (MCS) of the ITU-T T.120).

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Minimum Spanning Tree with Select-and-Delete Algorithm (선택-삭제 최소신장트리 알고리즘)

  • Choi, Myeong-Bok;Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.13 no.4
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    • pp.107-116
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    • 2013
  • This algorithm suggests a method in which a minimum spanning tree can be obtained fast by reducing the number of an algorithm execution. The suggested algorithm performs a select-and-delete process. In the select process, firstly, it performs Borůvka's first stage for all the vertices of a graph. Then it re-performs Borůvka's first stage for specific vertices and reduces the population of the edges. In the delete process, it deletes the maximum weight edge if any cycle occurs between the 3 edges of the edges with the reduced population. After, among the remaining edges, applying the valency concept, it gets rid of maximum weight edges. Finally, it eliminates the maximum weight edges if a cycle happens among the vertices with a big valency. The select-and-delete algorithm was applied to 9 various graphs and was evaluated its applicability. The suggested select process is believed to be the vest way to choose the edges, since it showed that it chose less number of big edges from 6 graphs, and only from 3 graphs, comparing to the number of edges that is to be performed when using MST algorithm. When applied the delete process to Kruskal algorithm, the number of performances by Kruskal was less in 6 graphs, but 1 more in each 3 graph. Also, when using the suggested delete process, 1 graph performed only the 1st stage, 5 graphs till 2nd stage, and the remaining till 3rd stage. Finally, the select-and-delete algorithm showed its least number of performances among the MST algorithms.

Detection of Entry/Exit Zones for Visual Surveillance System using Graph Theoretic Clustering (그래프 이론 기반의 클러스터링을 이용한 영상 감시 시스템 시야 내의 출입 영역 검출)

  • Woo, Ha-Yong;Kim, Gyeong-Hwan
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.46 no.6
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    • pp.1-8
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    • 2009
  • Detecting entry and exit zones in a view covered by multiple cameras is an essential step to determine the topology of the camera setup, which is critical for achieving and sustaining the accuracy and efficiency of multi-camera surveillance system. In this paper, a graph theoretic clustering method is proposed to detect zones using data points which correspond to entry and exit events of objects in the camera view. The minimum spanning tree (MST) is constructed by associating the data points. Then a set of well-formed clusters is sought by removing inconsistent edges of the MST, based on the concepts of the cluster balance and the cluster density defined in the paper. Experimental results suggest that the proposed method is effective, even for sparsely elongated clusters which could be problematic for expectation-maximization (EM). In addition, comparing to the EM-based approaches, the number of data required to obtain stable outcome is relatively small, hence shorter learning period.

Automatic word clustering using total divergence to the average (평균점에 대한 불일치의 합을 이용한 자동 단어 군집화)

  • Lee, Ho;Seo, Hee-Chul;Rim, Hae-Chang
    • Annual Conference on Human and Language Technology
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    • 1998.10c
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    • pp.419-424
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    • 1998
  • 본 논문에서는 단어들의 분포적 특성을 이용하여 자동으로 단어를 군집화(clustering) 하는 기법을 제시한다. 제안된 군집화 기법에서는 단어들 사이의 거리(distance)를 가상 공간상에 있는 두 단어의 평균점에 대한 불일치의 합(total divergence to the average)으로 측정하며 군집화 알고리즘으로는 최소 신장 트리(minimal spanning tree)를 이용한다. 본 논문에서는 이 기법에 대해 두 가지 실험을 수행한다. 첫 번째 실험은 코퍼스에서 상위 출현 빈도를 가지는 약 1,200 개의 명사들을 의미에 따라 군집화 하는 것이며 두 번째 실험은 이 논문에서 제시한 자동 군집화 방법의 성능을 객관적으로 평가하기 위한 것으로 가상 단어(pseudo word)에 대한 군집화이다. 실험 결과 이 방법은 가상 단어에 대해 약 91%의 군집화 정확도와(clustering precision)와 약 81%의 군집 순수도(cluster purity)를 나타내었다. 한편 두 번째 실험에서는 평균점에 대한 불일치의 합을 이용한 거리 측정에서 나타나는 문제점을 보완한 거리 측정 방법을 제시하였으며 이를 이용하여 가상 단어 군집화를 수행한 결과 군집화 정확도와 군집 순수도가 각각 약 96% 및 95%로 향상되었다.

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A Co-movement Analysis of Housing Purchase Price of Capital and Non-Capital Area (수도권과 지방 주택매매가격의 동조화 변화 분석)

  • Jang, Han Ik
    • Land and Housing Review
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    • v.10 no.1
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    • pp.9-18
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    • 2019
  • This study examined the dynamic change in the co-movement between the house price rates with the network methods of Mantegna (1999). First, Capital area and non-capital area form independent clusters which have the heterogeneous co-movement pattern. In other words, Capital and non-capital areas have low connectivity in the housing market. Also, if the co-movement between capital areas have been strengthened, the co-movement between non-capital areas have been weakened. The results of the dynamic analysis show that the degree of the co-movement in the housing market is continuously increased. The members of the co-movement group in the capital area are strongly steadied by all periods. However, the members in the non-capital area have been changed according to the period. Accordingly, it is necessary to establish policies based on various information for the housing market of the non-capital area rather than policies targeting the capital area. In addition, Apartments in Korea are more likely to be used as investment or speculative assets than other types of houses. It has been confirmed that this is Gangbuk, which is locatied in the northern part of Seoul, appears to be a region where the Spillover Effects of price fluctuation can be triggered in the housing and apartment market. However, the housing market in Gangnam, which is locatied in the southern part of Seoul, was divided into low systematic risk.

A Algorithm on Optimizing Traffic Network by the Control of Traffic Signal Timing (교통신호등 제어를 통한 교통망 최적화 알고리즘)

  • An, Yeong-Pil;Kim, Dong-Choon;Na, Seung-kwon
    • Journal of Advanced Navigation Technology
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    • v.21 no.5
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    • pp.472-478
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    • 2017
  • In this paper, we deals with optimizing traffic signal timing in grid networks by using a network topology design method. Optimizing traffic signal timing includes minimizing delay time delay between departure and destination by interlocking straight traffic signal in the minimum spanning tree(MST). On the assumption that users of network abide by the paths provided in this paper, this paper shows optimizing traffic signal timing in grid networks. the paths provided in this paper is gathered by using Dijkstra algorithm used in computer networks. The results indicate minimizing delay time of passing through the grid network and interlocking traffic signal in the grid network.

A Study on the Network Generation Methods for Examining the Intellectual Structure of Knowledge Domains (지적 구조의 규명을 위한 네트워크 형성 방식에 관한 연구)

  • Lee Jae-Yun
    • Journal of the Korean Society for Library and Information Science
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    • v.40 no.2
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    • pp.333-355
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    • 2006
  • Network generation methods to visualize bibliometric data for examining the intellectual structure of knowledge domains are investigated in some detail. Among the four methods investigated in this study, pathfinder network algorithm is the most effective method in representing local details as well as global intellectual structure. The nearest neighbor graph, although never used in bibliometic analysis, also has some advantages such as its simplicity and clustering ability. The effect of input data preparation process on resulting intellectual structures are examined, and concluded that unlike MDS map with clusters, the network structure could be changed significantly by the differences in data matrix preparation process. The network generation methods investigated in this paper could be alternatives to conventional multivariate analysis methods and could facilitate our research on examining intellectual structure of knowledge domains.

A Point-to-Point Shortest Path Search Algorithm in an Undirected Graph Using Minimum Spanning Tree (최소신장트리를 이용한 무방향 그래프의 점대점 최단경로 탐색 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.19 no.7
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    • pp.103-111
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    • 2014
  • This paper proposes a modified algorithm that improves on Dijkstra's algorithm by applying it to purely two-way traffic paths, given that a road where bi-directional traffic is made possible shall be considered as an undirected graph. Dijkstra's algorithm is the most generally utilized form of shortest-path search mechanism in GPS navigation system. However, it requires a large amount of memory for execution for it selects the shortest path by calculating distance between the starting node and every other node in a given directed graph. Dijkstra's algorithm, therefore, may occasionally fail to provide real-time information on the shortest path. To rectify the aforementioned shortcomings of Dijkstra's algorithm, the proposed algorithm creates conditions favorable to the undirected graph. It firstly selects the shortest path from all path vertices except for the starting and destination vertices. It later chooses all vertex-outgoing edges that coincide with the shortest path setting edges so as to simultaneously explore various vertices. When tested on 9 different undirected graphs, the proposed algorithm has not only successfully found the shortest path in all, but did so by reducing the time by 60% and requiring less memory.

Rerouting Method for MANET Using Local Path Modification (MANET에서 부분 경로 변경을 이용한 재라우팅 기법)

  • Suh, Hyo-Joong;Hwang, Hoyoung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39B no.9
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    • pp.620-628
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    • 2014
  • Various on-demand manner routing protocols have been proposed for efficient energy consumption in mobile ad-hoc networks. Some of the protocols tried to extend the network lifetime by periodically rerouting paths according to the energy consumption rate of nodes. However, those protocols suffer from frequent flooding and high overhead. This paper proposed a new routing protocol called ALPMR (Adaptive Local Path Modification Routing) that extends the network lifetime by using local path rerouting. The proposed ALPMR protocol performs local rerouting around nodes with little remaining energy as well as data congestion, thus reduces flooding and routing overhead and can extend the network lifetime. The performance of ALPMR protocol is observed using ns-2 simulator.