• Kyungpook Mathematical Journal
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• v.52 no.4
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• pp.513-519
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• 2012

For a spanning tree T of a connected graph ${\Gamma}$ and for a labelling ${\phi}$: E(T) ${\rightarrow}$ {+,-},${\phi}$ is called an alternating sign on a spanning tree T of a graph ${\Gamma}$ if for any cotree edge $e{\in}E({\Gamma})-E(T)$, the unique path in T joining both end vertices of e has alternating signs. In the present article, we prove that any graph has a spanning tree T and an alternating sign on T.

• Journal of applied mathematics & informatics
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• v.28 no.3_4
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• pp.893-908
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• 2010

In this paper we prove the existence of spanning 3-trees in a 3-connected infinite locally finite VAP-free plane graph. Together with the results of Barnette and the author, this yields that every finite or infinite 3-connected locally finite VAP-free plane graph contains a spanning 3-tree.

• Proceedings of the Korea Information Processing Society Conference
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• 2011.04a
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• pp.572-575
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• 2011

It is well known that spanning tree protocol (STP) is the most commonly used protocol in switching networks for smart grid. STP selectively blocks redundancy links of the network to prevent layer 2 loops in network, and it also has a functionality of backing up links. As with the other protocols, STP has been updated with the continuing development of the network. STP is a broad concept and it does not just refer in particular to defined STP protocol in IEEE 802.1D standards, it refers to updated spanning tree protocol based on STP. Because of uneven distribution of communication traffic in root bridge, STP cannot satisfy fast converge nce while the failure occurs near the root bridge or on the root bridge in tree topologies of STP. In this paper, we propose a novel method --- Hyper Cube Spanning Tree Protocol (HCSTP) to solve uneven distribution of communication traffic. Theoretically, hyper cube in our protocol increases throughput and improves the utilization of communication. The simulation results show that HCSTP can achieve comparative and considerably higher performance than other STP protocols in terms of reconnection.

• IE interfaces
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• v.15 no.3
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• pp.241-246
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• 2002

Some extensions of minimum spanning tree problem are NP-hard problem in which polynomial-time solutions for them do not exist. Because of their complexity, recently some researcher have used the genetic algorithms to solve them. In genetic algorithm approach the Prufer number is usually used to represent a tree. In this paper we discuss the problem of the Prufer number encoding method and propose an improved genetic operation. Using a numerical comparison we demonstrate the excellence of the proposed method.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.31 no.5B
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• pp.421-429
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• 2006

In this paper, we suggest a new capability aware spanning tree(CAST) algorithm for Ethernet bridged network which consists of both legacy Ethernet bridges and synchronous Ethernet ones. The legacy spanning tree algorithm specified in IEEE 802.1D standard select root bridge and construct tree based on each bridge's identifier without consideration of each bridge's capability. Thus we note that if the legacy STP may assign a synchronous bridge as a root bridge, the bridge may become a bottleneck for asynchronous trafficbecause of bandwidth limitation for asynchronous traffic. In this paper, the CAST algorithm constructsmultiple spanning tree by using of bridge capability and makes different transmission path for each traffics, can removes this kind of defect. From the simulation results, we can see that the proposed CAST algorithm has better end-to-end delay performance than legacy spanning tree algorithm in high traffic load and multiple hops environment.

• Journal of KIISE:Computer Systems and Theory
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• v.31 no.1_2
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• pp.78-85
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• 2004

Given a set S of n points in the plane, a minimum-diameter spanning tree(MDST) for the set might have a degree up to n-1. This might cause the degradation of the network performance because the node with high degree should handle much more requests than others relatively. Thus it is important to construct a spanning tree network with small degree and diameter. This paper presents an algorithm to construct a spanning tree for S satisfying the following four conditions: (1) the degree is controled as an input, (2) the tree diameter is no more than constant times the diameter of MDST, (3) the tree is monotone (even if arbitrary point is fixed as a root of the tree) in the sense that the Euclidean distance from the root to any node on the path to any leaf node is not decreasing, and (4) there are no crossings between edges of the tree. The monotone property will play a role as an aesthetic criterion in visualizing the tree in the plane.

• Journal of the Korea Society of Computer and Information
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• v.17 no.1
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• pp.161-169
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• 2012

In general, Euclidean minimum spanning tree is a tree connecting input nodes with minimum connecting cost. But the tree may not be optimal when applied to real world problems of three dimension. In this paper, three dimension Euclidean minimum spanning tree is proposed, connecting all input nodes of 3-dimensional space with minimum cost. In experiments for 30,000 input nodes with 100% space ratio, the tree produced by the proposed method can reduce 90.0% connection cost tree, compared with the tree by two dimension Prim's minimum spanning tree. In two dimension plane, the proposed tree increases 251.2% connecting cost, which is pointless in 3-dimensional real world. Therefore, the proposed method can work well for many connecting problems in real world space of three dimensions.

• Proceedings of the Korea Multimedia Society Conference
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• 2003.11a
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• pp.466-469
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• 2003

PC의 컴퓨팅 능력과 네트워크 성능이 급속도로 향상됨에 따라 이러한 인프라를 바탕으로 떠오르고 있는 Peer-to-Peer (P2P) 시스템은 자원의 복제 및 공유를 통하여 컴퓨팅 시스템 전반에 걸친 신뢰성과 결함감내 능력을 향상시킨다. 그러나 현재까지 연구된 P2P 네트워크는 각 노드가 복제한 데이터의 일관성 유지를 위해 필요한 그룹통신에 대한 고려가 부족하다. 본 논문은 SpanningTree 방식의 링 구성을 통하여, P2P 시스템에서의 그룹통신을 위해 설계된 메시지 전송 방식을 설명하고 기존 P2P 메시지 전송방식과의 비교를 통하여 성능향상의 근거를 보인다.

• Journal of applied mathematics & informatics
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• v.6 no.3
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• pp.727-734
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• 1999

Let G be a connected graph of n vertices. The problem of finding a depth-first spanning tree of G is to find a connected subgraph of G with the n vertices and n-1 edges by depth-first-search. in this paper we propose an O(n) time algorithm to solve this problem on permutation graphs.

• East Asian mathematical journal
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• v.21 no.2
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• pp.249-260
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• 2005

Experimentation using computer plays an important part in education and research in graph theory. The purpose of this paper is to develop the CAS techniques for the hands-on approach in graph theory specifically on the topic of constructing the spanning tree. This paper discusses the advantages of CAS as the software system for doing graph theory and introduces the software solutions integrating multimedia user interface developed by the author, which extend the functionality of the existing CAS-based graph theory software package.