• Title/Summary/Keyword: Spanning Tree

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An Analysis of Network Structure in Housing Markets: the Case of Apartment Sales Markets in the Capital Region (주택시장의 네트워크 구조 분석: 수도권 아파트 매매시장의 사례)

  • Jeong, Jun Ho
    • Journal of the Economic Geographical Society of Korea
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    • v.17 no.2
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    • pp.280-295
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    • 2014
  • This paper analyzes the topological structure of housing market networks with an application of minimal spanning tree method into apartment sales markets in the Capital Region over the period 2003.7-2014.3. The characteristics of topological network structure gained from this application to some extent share with those found in equity markets, although there are some differences in their intensities and degrees, involving a hierarchical structure in networks, an existence of communities or modules in networks, a contagious diffusion of log-return rate across nodes over time, an existence of correlation breakdown due to the time-dependent structure of networks and so on. These findings could be partially attributed to the facts that apartments as a quasi-financial asset have been strongly overwhelmed by speculative motives over the period investigated and they can be regarded as a housing commodity with the highest level of liquidity in Korea.

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Minimum Spanning Tree Algorithm for Deletion of Maximum Weight Edge within a Cycle (한 사이클 내에서 최대 가중치 간선을 제거하기 위한 최소 신장트리 알고리즘)

  • Choi, Myeong-Bok;Han, Tae-Yong;Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.14 no.2
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    • pp.35-42
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    • 2014
  • This paper suggests a method that obtains the minimum spanning tree (MST) far more easily and rapidly than the present ones. The suggested algorithm, firstly, simplifies a graph by means of reducing the number of edges of the graph. To achieve this, it applies a method of eliminating the maximum weight edge if the valency of vertices of the graph is equal to or more than 3. As a result of this step, we can obtain the reduced edge population. Next, it applies a method in which the maximum weight edge is eliminated within the cycle. On applying the suggested population minimizing and maximum weight edge deletion algorithms to 9 various graphs, as many as the number of cycles of the graph is executed and MST is easily obtained. It turns out to lessen 66% of the number of cycles and obtain the MST in at least 2 and at most 8 cycles by only deleting the maximum weight edges.

A Polynomial Time Approximation Scheme for Enormous Euclidean Minimum Spanning Tree Problem (대형 유클리드 최소신장트리 문제해결을 위한 다항시간 근사 법)

  • Kim, In-Bum
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.48 no.5
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    • pp.64-73
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    • 2011
  • The problem of Euclidean minimum spanning tree (EMST) is to connect given nodes in a plane with minimum cost. There are many algorithms for the polynomial time problem as EMST. However, for numerous nodes, the algorithms consume an enormous amount of time to find an optimal solution. In this paper, an approximation scheme using a polynomial time approximation scheme (PTAS) algorithm with dividing and parallel processing for the problem is suggested. This scheme enables to construct a large, approximate EMST within a short duration. Although initially devised for the non-polynomial problem, we employ naive PTAS to construct a vast EMST with dynamic programming. In an experiment, the approximate EMST constructed by the proposed scheme with 15,000 input terminal nodes and 16 partition cells shows 89% and 99% saving in execution time for the serial processing and parallel processing methods, respectively. Therefore, our scheme can be applied to obtain an approximate EMST quickly for numerous input terminal nodes.

A Study on the Self-Healing Mechanism using Spanning Tree Algorithm for PLC-based Home Network (전력선 홈 네트워크를 위한 스패닝 트리 알고리즘 기반의 자동 중계 기술 연구)

  • Hwang, Min-Tae;Choi, Sung-Soo;Lee, Won-Tae
    • Journal of Korea Multimedia Society
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    • v.11 no.7
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    • pp.986-996
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    • 2008
  • The home network environment based on the power line communication has some unexpected events. The noise source from the home appliances makes the network impedance increased, and the transmission packets distorted. Therefore the packet transmission from the source node may not be delivered to the destination node directly. In this paper we propose a new self-healing mechanism which relays the packet to the directly unreachable destination automatically with the help of intermediate nodes. In order to choose the minimum required intermediate nodes our mechanism makes a spanning tree with both the directly reachable nodes and indirectly reachable nodes via the intermedia nodes. We developed the network simulator in order to compare its performance to the Echelon's repeater selecting mechanism. Though it required more packet relations than Echelon's but the reachable probability to the destination was highly increased about two times.

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Short-Distance Gate Subtree Algorithm for Capacitated Minimum Spanning Tree Problem (능력한정 최소신장트리 문제의 근거리 게이트 서브트리 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.21 no.6
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    • pp.33-41
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    • 2021
  • This paper proposes heuristic greedy algorithm that can be find the solution within polynomial time with solution finding rule for the capacitated minimum spanning tree(CMST) problem, known as NP-hard. The CMST problem can be solved by computer-aided meta-heuristic because of the Esau-Williams heuristic polynomial time algorithm has a poor performance. Nevertheless the meta-heuristic methods has a limit performance that can't find optimal solution. This paper suggests visual by handed solution-finding rule for CMST. The proposed algorithm firstly construct MST, and initial feasible solution of CMST from MST, then optimizes the CMST with the subtree gates more adjacent to root node. As a result of total 30 cases of OR-LIB 10 data, Q=3,5,10, the proposed algorithm gets the best performance.

A Link Protection Scheme with a Backup Link Spanning Tree for Provider Backbone Bridged Networks and Implementation (프로바이더 백본 브리지 망을 위한 백업링크 스패닝트리 기반 링크장애 복구기능과 구현)

  • Nam, Wie-Jung;Lee, Hyun-Joo;Yoon, Chong-Ho;Hong, Won-Taek;Moon, Jeong-Hoon
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.47 no.1
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    • pp.58-68
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    • 2010
  • In this paper, we propose an efficient link protection switching scheme for provider backbone bridge systems with a spanning tree for backup links exclusively, and evaluate its performance. The proposed scheme offers guaranteed QoS flows even when a link fault occurrs in the primary link by flooding the flows over the profiled spanning tree. The flooding mechanism over the spanning tree can also provide low latency and remove the loopback flows. We also derive the efficiency of bandwidth usage for the normal flows and the number of lost frames during the link restoration. For evaluating its feasibility, we implement a prototype of PBB-TE systems based on the Linux bridge codes, which can support both link protection switching capability with CCM and MAC-in-MAC encapsulation. A related protocol analyzer is also developed. One can see that the proposed scheme and the prototype can be useful for developing carrier class Ethernet systems based on PBB-TE.

Case Study for Telecommunication Network Design based on Optimal Path Algorithm (최적경로 알고리듬을 활용한 경제적인 통신망 설계 적용 사례)

  • Jung, Ju-Young;Choi, Yun-Soo;Jun, Chul-Min;Cho, Seong-Kil
    • Journal of Korea Spatial Information System Society
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    • v.8 no.1 s.16
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    • pp.107-118
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    • 2006
  • In this paper, several network algorithms were tested to find an optimal one for telecommunication network design. Algorithms such as Dijkstra's shortest path algorithm, Ford-Bellman's shortest path algorithm, Prim's minimum spanning tree algorithm, and Kruscal's minimum spanning tree algorithm were reviewed and compared in terms of feasibility and resulted network construction cost. Then an optimal algorithm that is most suitable for telecommunication network design was selected. For more specific and quantitative analysis of the selected algorithm, it was implemented to a real telecommunication network construction site. The analyzed results showed that the suggested design method when compared with the conventional one, reduced the network construction cost considerably. The total network length estimated by the conventional method were 5267 meters while the suggested method resulted in 4807 meters. Thus the new method reduced the total network length by 8.7 percent which is equivalent to 97,469,000 Won of construction cost. Considering the frequent telecommunication network constructions, due to new urban developments in the nation, the economic benefit of the suggested telecommunication network design method will be significant. In addition to the construction cost savings, the suggested telecommunication network design procedure possesses several other economic benefits. Since the design procedure can be standardized and automatized, it can reduce the design cost itself and the skill acquirement periods required for new or inapt design crews. Further, due to the standardized and automatized design procedure, any telecommunication network design results can accessed more objectively.

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Efficient Allocation and Connection of Concentrators and Repeaters Using Approximate Steiner Minimum Tree in Automatic Meter Reading System (원격 검침 시스템에서 근사 최소 스타이너 트리를 이용한 집중기 및 중계기의 효율적인 배치와 연결)

  • Kim, Chae-Kak;Kim, In-Bum;Kim, Soo-In
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.10B
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    • pp.994-1003
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    • 2009
  • For Automatic Meter Reading System, good topology of check machines, concentrators, and repeaters in client field is important. Steiner Minimum Tree is a minimum cost tree connecting all given nodes with introducing Steiner points. In this paper, an efficient mechanism allocating and connecting check machines, concentrators and repeaters which are essential elements in automatic meter reading system is proposed, which conducts repeated applications of building approximate Minimum Steiner Trees. In the mechanism, input nodes and Steiner points might correspond to check machine, concentrators or repeaters and edges might do to the connections between them. Therefore, through suitable conversions and processes of them, an efficient network for automatic meter reading system with both wired and wireless communication techniques could be constructed. In our experiment, for 1000 input nodes and 200 max connections per node, the proposed mechanism shortened the length of produced network by 19.1% comparing with the length of Minimum Spanning Tree built by Prim's algorithm.

Efficient Connection of Migration Routes with Their Weights Using EGOSST (EGOSST를 이용한 이동 경로의 가중치를 반영한 효과적 연결)

  • Kim, In-Bum
    • The KIPS Transactions:PartA
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    • v.18A no.5
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    • pp.215-224
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    • 2011
  • In this paper, a mechanism connecting all weighted migration routes with minimum cost with EGOSST is proposed. Weighted migration routes may be converted to weighted input edges considered as not only traces but also traffics or trip frequencies of moving object on communication lines, roads or railroads. Proposed mechanism can be used in more wide and practical area than mechanisms considering only moving object traces. In our experiments, edge number, maximum weight for input edges, and detail level for grid are used as input parameters. The mechanism made connection cost decrease average 1.07% and 0.43% comparing with the method using weight minimum spanning tree and weight steiner minimum tree respectively. When grid detail level is 0.1 and 0.001, while each execution time for a connecting solution increases average 97.02% and 2843.87% comparing with the method using weight minimum spanning tree, connecting cost decreases 0.86% and 1.13% respectively. This shows that by adjusting grid detail level, proposed mechanism might be well applied to the applications where designer must grant priority to reducing connecting cost or shortening execution time as well as that it can provide good solutions of connecting migration routes with weights.

The Study on the Lava tree-molds in Jeju Island (제주도의 용암수형에 관한 연구)

  • Kim, Byoung-Woo
    • Journal of the Speleological Society of Korea
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    • no.87
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    • pp.1-7
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    • 2008
  • Jeju-do is an oval-shape volcanic island spanning 73km east to west and 31km north to south. The 1,950meter high, Mt. Halla is the centerpiece of unique landscape of Jeju Island, Sloping gently downward toward the coastline. The most of lava tree-molds are appeared at the below of 300m on Mt. Halla. There are many lava tree-molds in Weullim-ri, Hallim-eup. Vertical tree-molds, recumbent tree-molds are distributed widely in Hallim-eup area. By the observation of shape and structure, lava tree-molds can be classified into, recumbent tree-molds and capture tree-molds, fragmental tree-molds, compounded tree-molds, vertical tree-molds.