• The Journal of the Korea institute of electronic communication sciences
• /
• v.17 no.1
• /
• pp.153-160
• /
• 2022

A greedy algorithm is proposed to select a subset of nodes of a graph for bandlimited graph signals in which each signal value is generated with its weight. Since graph signals are weighted, we seek to minimize the weighted reconstruction error which is formulated by using the QR factorization and derive an analytic result to find iteratively the node minimizing the weighted reconstruction error, leading to a simplified iterative selection process. Experiments show that the proposed method achieves a significant performance gain for graph signals with weights on various graphs as compared with the previous novel selection techniques.

• Proceedings of the Korean Information Science Society Conference
• /
• 2003.04a
• /
• pp.875-877
• /
• 2003

그래프 분할문제에서 대량의 그래프 데이터를 처리하는 것은 계산에서 걸리는 시간보다 파일 입출력을 수행하는 데 걸리는 시간의 비중이 크다. 본 논문은 수행 속도와 분할 성능에 있어서 우수한 그래프 분할 알고리즘 중 하나인 Multilevel Graph Partitioning에 대해 입출력 효율을 높일 수 있도록 확장하는 기법을 제안하고 그 구현에 대해 기술한다. 그래프를 컴퓨터의 가용 메모리를 기준으로 서브 그래프로 나누어 메모리 참조의 지역성이 향상되도록 기존의 Multilevel Graph Partitioning을 확장 하였다. 기존의 방식과 제안된 방식을 테스트 그래프들에 적용하여 그 수행시간을 비교한 결과 그래프 데이터의 크기가 컴퓨터의 주 메모리의 용량에 비해 어느 수준 이상으로 커지면서 제안된 알고리즘이 기존의 방식보다 수행시간에 있어서 좋은 결과를 보인다.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
• /
• 2013.10a
• /
• pp.773-775
• /
• 2013

In this paper, we consider the problem for finding a vertex sequence of the directed cycle graph from the individual neighborhood information on a reconfigurable mesh(in short, RMESH). This problem can be solved in linear time using a sequential algorithm. However, it is difficult to develop a sublinear time parallel algorithm for the problem because of its sequential nature. All kinds of polygons can be represented by directed cycles, hence a solution of the problem may be used to solving problems in which a polygon should be constructed from the adjacency information for each vertex. In this paper, we present a constant time $n{\times}n^2$ RMESH algorithm for the problem with n vertices.

• The Journal of the Korea institute of electronic communication sciences
• /
• v.17 no.2
• /
• pp.367-374
• /
• 2022

A sampling set selection algorithm is proposed to reconstruct original graph signals from the sampled signals generated on the nodes in the sampling set. Instead of directly minimizing the reconstruction error, we focus on minimizing the upper bound on the reconstruction error to reduce the algorithm complexity. The metric is manipulated by using QR factorization to produce the upper triangular matrix and the analytic result is presented to enable a greedy selection of the next nodes at iterations by using the diagonal entries of the upper triangular matrix, leading to an efficient sampling process with reduced complexity. We run experiments for various graphs to demonstrate a competitive reconstruction performance of the proposed algorithm while offering the execution time about 3.5 times faster than one of the previous selection methods.

• The Journal of the Institute of Internet, Broadcasting and Communication
• /
• v.13 no.4
• /
• pp.107-116
• /
• 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.

• Proceedings of the KIEE Conference
• /
• 2008.07a
• /
• pp.1837-1838
• /
• 2008

최단 경로란 유향(有向) 또는 무향(無向) 그래프에서 어떤 두 점 사이를 맺는 유향 또는 무향 경로 중 가장 짧은 것, 즉 가지의 길이 합을 최소로 하는 것을 구하는 문제. 그래프가 평면 접속인 경우에는 쌍대(雙對) 그래프의 최대 흐름을 구하는 문제와 등가이다. 본 논문에서는 최단 경로 문제를 풀기 위하여 Dijkstra의 장점은 살리고 단점을 보완하는 방향성을 가지는 Dijkstra 알고리즘을 제안하였다. 사례연구를 통하여 제안한 알고리즘은 출발점에서 도착점까지 최단 경로를 빠른 시간에 찾아가는 것을 보였다.

• Proceedings of the Korean Society of Computer Information Conference
• /
• 2011.01a
• /
• pp.249-252
• /
• 2011

본 논문에서는 쇼크(shock) 그래프 기반의 뼈대 특징을 이용하여 모양 정보를 분류하기 위해 그래프 편집 거리(edit cost) 기반의 k-means 군집화 알고리즘을 적용하는 방법을 제안한다. 본 논문에서 제안된 방법에서는 먼저 질의 영상과 대상 데이터베이스 영상으로부터 뼈대 기반의 쇼크 그래프를 추출한 후 종점(end points)과 분기점(branch points)을 가중치를 이용하여 적응적으로 선택한다. 그런 다음, 두 영상 사이의 편집 거리를 구하여 이를 k-means 군집화 알고리즘의 거리 척도로 적용함으로써 대용량의 영상을 보다 효과적으로 분류한다. 성능을 평가하기 위해서 제안된 알고리즘을 MPEG-7 데이터베이스에 적용하였으며, 그 결과 제안된 영상 분류 방법이 기존의 영상 분류 방법에 비해서 보다 효과적으로 모양 기반의 영상을 분류하였음을 확인하였다.

• Journal of KIISE
• /
• v.44 no.1
• /
• pp.78-83
• /
• 2017

Finding the densest subgraphs from social networks, such that people in the subgraph are in a particular community or have common interests, has been a recurring problem in numerous studies undertaken. However, these algorithms focused only on finding the single densest subgraph. We suggest a heuristic algorithm of the bottom-up type, which finds the densest subgraph by increasing its size from a given starting node, with the repeated addition of adjacent nodes with the maximum degree. Furthermore, since this approach matches well with parallel processing, we further implement a parallel algorithm on the MapReduce framework. In experiments using various graph data, we confirmed that the proposed algorithm finds the densest subgraphs in fewer steps, as compared to other related studies. It also scales efficiently for many given starting nodes.

• Journal of the Korea Institute of Information and Communication Engineering
• /
• v.26 no.1
• /
• pp.128-133
• /
• 2022

This paper deals with the graph in which the weights of edges are given the distances between two end vertices on a metric space. In particular, we will study about a path P with n vertices for these graphs. We obtain a new graph $\bar{P}$ by augmenting an edge to P. Then the length of the shortest path between two vertices on $\bar{P}$ is considered and we focus on the maximum of these lengths. This maximum is called the diameter of the graph $\bar{P}$. We wish to find the augmented edge to minimize the diameter of $\bar{P}$. Especially, for an arbitrary real number λ > 0, we should determine whether the diameter of $\bar{P}$ is less than or equal to λ and we propose an O(n)-time algorithm for this problem, which improves on the time complexity O(nlogn) previously known. Using this decision algorithm, for the length D of P, we provide an O(nlogD)-time algorithm to find the minimum of the diameter of $\bar{P}$.

• Proceedings of the Korean Information Science Society Conference
• /
• 2004.04b
• /
• pp.325-327
• /
• 2004

'생물정보학'이란 생물학적 데이터를 처리, 가공하여 정보를 얻어내는 연구 분야로 이 중 대사체학은 대사 경로 네트워크를 가시화하여 생명 활동을 이해하고자 하는 분야로, 대사 경로 내의 흐름을 한 눈에 알 수 있도록 가시화하여 보여 주는 도구가 반드시 필요하다 따라서 본 논문에서는 새로운 '대사 경로 드로잉 알고리즘'을 제안하였다. 대사 경로 그래프의 구조로는 이분 그래프를 이용하여 가독성을 높였으며. 이 그래프가 척도 없는(scale-free) 네트워크 구조라는 것과 구조적으로 환형, 계층적 선형 컴포넌트를 가진다는 것을 고려하여 사이즈가 큰 그래프도 적절하게 드로잉 하도록 하였다.