• Proceedings of the Korean Information Science Society Conference
• /
• 2003.04a
• /
• pp.806-808
• /
• 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 KIISE:Computer Systems and Theory
• /
• v.30 no.5_6
• /
• pp.319-323
• /
• 2003

Let P be a set of n points in the plane. A minimum spanning tree(MST) is a spanning tree connecting n points of P such that the sum of lengths of edges of the tree is minimized. A diameter of a tree is the maximum length of paths connecting two points of a spanning tree of P. The problem considered in this paper is to compute the spanning tree whose diameter is minimized over all spanning trees of P. We call such tree a minimum-diameter spanning tree(MDST). The best known previous algorithm[3] finds MDST in $O(n^2)$ time. In this paper, we suggest an approximation algorithm to compute a spanning tree whose diameter is no more than 5/4 times that of MDST, running in O(n$^2$log$^2$n) time. This is the first approximation algorithm on the MDST problem.

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

• Proceedings of the Korean Information Science Society Conference
• /
• 2001.04a
• /
• pp.739-741
• /
• 2001

본 논문은 동적 네트워크에서 최소 신장 트리를 유지하는 문제에 대한 알고리즘을 제안한다. 동적 네트워크란 새로운 간선이 추가되거나 기존의 간선이 삭제 가능한 네트워크를 의미한다. 최소 신장 트리를 찾는 이전의 분산 알고리즘은 동적 변화를 고려하지 않거나 혹은 별도의 자료 구조를 이용하였다. 제안한 알고리즘은 간선의 변화에 대응하여 인접한 노드들에게 변화를 알리고 서로 협력하여 최소 신장 트리를 찾는다 네트워크 G의 전체 노드의 수를 N, 전체 간선의 수를 E, 찾은 최소 신장 트리의 지름을 D라고 할 때, K개의 간선 추가와 삭제에 대하여 각각 min{0(kI)+O(N), O(N log N+E)}와 O(N log k+E)의 메시지 복잡도를 갖는다. 또한 각 경우에 대한 하한 비용을 증명하였다.

• 한국벤처창업학회:학술대회논문집
• /
• 2010.08a
• /
• pp.71-89
• /
• 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.

• Asia-Pacific Journal of Business Venturing and Entrepreneurship
• /
• v.5 no.3
• /
• pp.27-45
• /
• 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 routing protocol 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.