• Title/Summary/Keyword: Spanning Tree

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TRE+: Extended Tree-Based Routing Ethernet

  • Carral, Juan A.;Ibanez, Guillermo;Garcia-Martinez, Alberto;Lopez-Carmona, Miguel A.;Marsa-Maestre, Ivan
    • ETRI Journal
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    • v.32 no.1
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    • pp.157-159
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    • 2010
  • Tree-based routing Ethernet (TRE) is a recent Ethernet architecture that enables shortcut links to improve performance compared to spanning tree protocols. However, TRE can only use shortcuts that arrive directly at bridges located in the branch of the destination. TRE+ extends the topology knowledge of a bridge to 2 hops away, thus unveiling new shortcuts to the destination branch. Simulations show a major performance improvement of TRE+ compared to TRE, with results close to shortest paths in some topologies.

The Research of the 2-Edge Labeling Methods on Binomial Trees (이항트리에서 2-에지번호매김 방법에 대한 연구)

  • Kim, Yong Seok
    • KIPS Transactions on Computer and Communication Systems
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    • v.4 no.2
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    • pp.37-40
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    • 2015
  • In this paper, we present linear, varied and mixed edge labeling methods using 2-edge labeling on binomial trees. As a result of this paper, we can design the variable topologies to enable optimal broadcasting with binomial tree as spanning tree, if we use these edge labels as the jump sequence of a sort of interconnection networks, circulant graph, with maximum connectivity and high reliability.

Optimal Terminal Interconnection Reconstruction along with Terminal Transition in Randomly Divided Planes

  • Youn, Jiwon;Hwang, Byungyeon
    • Journal of information and communication convergence engineering
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    • v.20 no.3
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    • pp.160-165
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    • 2022
  • This paper proposes an efficient method of reconstructing interconnections when the terminals of each plane change in real-time situations where randomly divided planes are interconnected. To connect all terminals when the terminals of each plane are changed, we usually reconstruct the interconnections between all terminals. This ensures a minimum connection length, but it takes considerable time to reconstruct the interconnection for the entire terminal. This paper proposes a solution to obtain an optimal tree close to the minimum spanning tree (MST) in a short time. The construction of interconnections has been used in various design-related areas, from networks to architecture. One of these areas is an ad hoc network that only consists of mobile hosts and communicates with each other without a fixed wired network. Each host of an ad hoc network may appear or disappear frequently. Therefore, the heuristic proposed in this paper may expect various cost savings through faster interconnection reconstruction using the given information in situations where the connection target is changing.

About fully Polynomial Approximability of the Generalized Knapsack Problem (일반배낭문제의 완전다항시간근사해법군의 존재조건)

  • 홍성필;박범환
    • Journal of the Korean Operations Research and Management Science Society
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    • v.28 no.4
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    • pp.191-198
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    • 2003
  • The generalized knapsack problem or gknap is the combinatorial optimization problem of optimizing a nonnegative linear function over the integral hull of the intersection of a polynomially separable 0-1 polytope and a knapsack constraint. The knapsack, the restricted shortest path, and the constrained spanning tree problem are a partial list of gknap. More interesting1y, all the problem that are known to have a fully polynomial approximation scheme, or FPTAS are gknap. We establish some necessary and sufficient conditions for a gknap to admit an FPTAS. To do so, we recapture the standard scaling and approximate binary search techniques in the framework of gknap. This also enables us to find a weaker sufficient condition than the strong NP-hardness that a gknap does not have an FPTAS. Finally, we apply the conditions to explore the fully polynomial approximability of the constrained spanning problem whose fully polynomial approximability is still open.

Overlay Multicast Tree Building Algorithm for MDST and MST in Complete Network (완전 연결된 네트워크에서 MDST와 MST 목적을 갖는 오버레이 멀티캐스트 트리구현 알고리즘)

  • Cho, Myeong-Rai
    • 한국벤처창업학회:학술대회논문집
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    • 2010.08a
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    • pp.71-89
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    • 2010
  • It is strongly believed that multicast will become one of the most promising services on internet for the next generation. Multicast service can be deployed either on network-layer or application-layer. IP multicast (network-layer multicast) is implemented by network nodes (i.e., routers) and avoids multiple copies of the same datagram on the same link. Despite the conceptual simplicity of IP multicast and its obvious benefits, it has not been widely deployed since there remain many unresolved issues. As an alternative to IP multicast, overlay multicast (application-layer multicast) implements the multicast functionality at end hosts rather than routers. This may require more overall bandwidth than IP multicast because duplicate packets travel the same physical links multiple times, but it provides an inexpensive, deployable method of providing point-to-multipoint group communication. In this paper we develop an efficient method applied greedy algorithm for solving two models of overlay multicast tree building problem that is aimed to construct MDST (Minimum Diameter Spanning Tree : minimum cost path from a source node to all its receivers) and MST (Minimum Spanning Tree : minimum total cost spanning all the members). We also simulate and analyze MDST and MST.

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Optimal Edge-Disjoint Spanning Trees in HyperStar Interconnection Network HS(2n,n) (하이퍼스타 연결망 HS(2n,n)의 에지 중복 없는 최적 스패닝 트리)

  • Kim, Jong-Seok;Kim, Sung-Won;Lee, Hyeong-Ok
    • The KIPS Transactions:PartA
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    • v.15A no.6
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    • pp.345-350
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    • 2008
  • Recently, a HyperStar network HS(2n,n) has been introduced as a new interconnection network of new topology for parallel processing. HyperStar network has properties of hypercube and star graph, further improve the network cost of a hypercube with the same number of nodes. In this paper, we show a construction algorithm of edge-disjoint spanning trees in HyperStar network HS(2n,n). Also, we prove that edge-disjoint spanning tree by the algorithm is optimal.

Efficient Spanning Tree Topology Aggregation Method in Private Networks Interface (사설망인터페이스에서 효율적 스패닝 트리 토폴로지 요약기법)

  • Kim, Nam-Hee;Kim, Byun-Gon;Lee, Jong-Chan
    • The Journal of the Korea Contents Association
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    • v.8 no.7
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    • pp.35-42
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    • 2008
  • The proposed scheme in this paper can search multi-links efficiently using the depth priority method based on hop count instead of searching the all links. To do this, we proposed a modified line segment scheme using two line segment method. The scheme represents two points which consist of delay-bandwidth pair to reduce topology information and provide a flexibility to the multiple-links aggregation. And we apply it to current spanning tree topology aggregation. To evaluate performance of the proposed scheme, we compare/analyze the current method with the proposed scheme with respect to call success rate, access time and crankback rate. Simulation result analysis showed the proposed spanning tree topology aggregation scheme presents the better performance than existing scheme.

Solving Nonlinear Fixed Charge Transportation Problem by Spanning Tree-based Genetic Algorithm (신장트리 기반 유전자 알고리즘에 의한 비선형 fcTP 해법)

  • Jo, Jung-Bok;Ko, Suc-Bum;Gen, Mitsuo
    • Journal of KIISE:Software and Applications
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    • v.32 no.8
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    • pp.752-758
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    • 2005
  • The transportation problem (TP) is known as one of the important problems in Industrial Engineering and Operational Research (IE/OR) and computer science. When the problem is associated with additional fixed cost for establishing the facilities or fulfilling the demand of customers, then it is called fixed charge transportation problem (fcTP). This problem is one of NP-hard problems which is difficult to solve it by traditional methods. This paper aims to show the application of spanning-tree based Genetic Algorithm (GA)approach for solving nonlinear fixed charge transportation problem. Our new idea lies on the GA representation that includes the feasibility criteria and repairing procedure for the chromosome. Several numerical experimental results are presented to show the effectiveness of the proposed method.

Efficient Flooding Methods for Link-state Routing Protocols (Link-state 라우팅 프로토콜을 위한 효율적인 플러딩 방법)

  • Kim, Jeong-Ho;Lee, Seung-Hwan;Rhee, Seung-Hyong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37B no.9
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    • pp.760-766
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    • 2012
  • In this paper, we propose an efficient flooding process on link-state routing protocol. It is possible to exchange information using typical link-state routing protocol; for example, OSPF(Open Short Path First) or IS-IS(Intermediate system routing protocol) that floods LSA between nodes when the network topology change occurs. However, while the scale of network is getting bigger, it affects the network extensibility because of the unnecessary LSA that causes the increasing utilization of CPU, memory and bandwidth. An existing algorithm based on the Minimum spanning tree has both network instability and inefficient flooding problem. So, we propose algorithm for efficient flooding while maintaining network stability. The simulation results show that the flooding of proposed algorithm is more efficient than existing algorithm.

Physical Topology Discovery for Metro Ethernet Networks

  • Son, Myung-Hee;Joo, Bheom-Soon;Kim, Byung-Chul;Lee, Jae-Yong
    • ETRI Journal
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    • v.27 no.4
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    • pp.355-366
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    • 2005
  • Automatic discovery of physical topology plays a crucial role in enhancing the manageability of modern metro Ethernet networks. Despite the importance of the problem, earlier research and commercial network management tools have typically concentrated on either discovering logical topology, or proprietary solutions targeting specific product families. Recent works have demonstrated that network topology can be determined using the standard simple network management protocol (SNMP) management information base (MIB), but these algorithms depend on address forwarding table (AFT) entries and can find only spanning tree paths in an Ethernet mesh network. A previous work by Breibart et al. requires that AFT entries be complete; however, that can be a risky assumption in a realistic Ethernet mesh network. In this paper, we have proposed a new physical topology discovery algorithm which works without complete knowledge of AFT entries. Our algorithm can discover a complete physical topology including inactive interfaces eliminated by the spanning tree protocol in metro Ethernet networks. The effectiveness of the algorithm is demonstrated by implementation.

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