• Title/Summary/Keyword: 이분그래프

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Frequent Patterns Mining using only one-time Database Scan (한 번의 데이터베이스 탐색에 의한 빈발항목집합 탐색)

  • Chai, Duck-Jin;Jin, Long;Lee, Yong-Mi;Hwang, Bu-Hyun;Ryu, Keun-Ho
    • The KIPS Transactions:PartD
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    • v.15D no.1
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    • pp.15-22
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    • 2008
  • In this paper, we propose an efficient algorithm using only one-time database scan. The proposed algorithm creates the bipartite graph which indicates relationship of large items and transactions including the large items. And then we can find large itemsets using the bipartite graph. The bipartite graph is generated when database is scanned to find large items. We can't easily find transactions which include large items in the large database. In the bipartite graph, large items and transactions are linked each other. So, we can trace the transactions which include large items through the link information. Therefore the bipartite graph is a indexed database which indicates inclusion relationship of large items and transactions. We can fast find large itemsets because proposed method conducts only one-time database scan and scans indexed the bipartite graph. Also, it don't generate candidate itemsets.

Algorithm for Minimum Degree Inter-vertex Edge Selection of Maximum Matching Problem (최대 매칭 문제의 최소차수 정점 간 간선 선택 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.22 no.5
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    • pp.1-6
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    • 2022
  • This paper deals with the maximum cardinality matching(MCM) problem. The augmenting path technique is well known in MCM. MCM is obtained by $O({\sqrt{n}}m)$ time complexity augmenting path algorithm for the general graph, and O(m log n) algorithm for the bipartite graph. On the other hand, this paper suggests O(n) linear time algorithm. The proposed algorithm based on the basic principle of as possible as largest selected inter-vertex edges in order to obtain the MCM. This paper simply selects edge {u,𝜐} that the minimum degree vertex u and minimum degree vertex 𝜐 in NG(u) 𝜈(G)=k times iteration. For various general and bipartite graphs experimental data, this algorithm can be get the 𝜈(G) exactly.

Fault-hamiltonicity of Bipartite Double Loop Networks (이분 그래프인 이중 루프 네트워크의 고장 해밀톤 성질)

  • 박정흠
    • Journal of KIISE:Computer Systems and Theory
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    • v.31 no.1_2
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    • pp.19-26
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    • 2004
  • In this paper, we investigate the longest fault-free paths joining every pair of vertices in a double loop network with faulty vertices and/or edges, and show that a bipartite double loop network G(mn;1, m) is strongly hamiltonian-laceable when the number of faulty elements is two or less. G(mn;1, m) is bipartite if and only if m is odd and n is even.

Study for the Maximum Bipartite Subgraph Problem Using GRASP + Tabu Search (Maximum Bipartite Subgraph 문제를 위한 GRASP + Tabu Search 알고리즘 연구)

  • Han, Keunhee;Kim, Chansoo
    • KIPS Transactions on Software and Data Engineering
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    • v.3 no.3
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    • pp.119-124
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    • 2014
  • Let G = (V, E) be a graph. Maximum Bipartite Subgraph Problem is to convert a graph G into a bipartite graph by removing minimum number of edges. This problem belongs to NP-complete; hence, in this research, we are suggesting a new metaheuristic algorithm which combines Tabu search and GRASP.

Design and Implementation for Multi-User Interface Video Conference System (다자간 화상회의 시스템의 설계 및 구현)

  • Joo, Heon-Sik;Lee, Sang-Yeob
    • Journal of the Korea Society of Computer and Information
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    • v.13 no.1
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    • pp.153-160
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    • 2008
  • This paper shows the maximum data flow utilizing the Weight Bipartite Graph Matching system. The Weight Bipartite Graph Matching system sets the data transmission as edges and guides the maximum data flow on the set server and the client. The proposed Weight Bipartite Graph Matching system implements the multi-user interface video conference system. By sending max data to the server and having the client receive the max data, the non-continuance of the motion image frame, the bottleneck phenomenon, and the broken images are prevented due to the excellent capacity. The experiment shows a two-times better excellency than that of the previous flow control.

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Many-to-Many Disjoint Path Covers in Double Loop Networks (이중 루프 네트워크의 다대다 서로소인 경로 커버)

  • Park Jung-Heum
    • Journal of KIISE:Computer Systems and Theory
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    • v.32 no.8
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    • pp.426-431
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    • 2005
  • A many-to-many k-disjoint path cover (k-DPC) of a graph G is a set of k disjoint paths joining k distinct source-sink pairs in which each vertex of G is covered by a path. In this paper, we investigate many-to-many 2-DPC in a double loop network G(mn;1,m), and show that every nonbipartite G(mn;1,m), $m{\geq}3$, has 2-DPC joining any two source-sink pairs of vertices and that every bipartite G(mn;1,m) has 2-DPC joining any two source-sink pairs of black-white vertices and joining any Pairs of black-black and white-white vertices. G(mn;l,m) is bipartite if and only if n is odd and n is even.

An Algorithm for Drawing Metabolic Pathways based on Structural Characteristics (구조적 특징에 기반한 대사 경로 드로잉 알고리즘)

  • 이소희;송은하;이상호;박현석
    • Journal of KIISE:Software and Applications
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    • v.31 no.10
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    • pp.1266-1275
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    • 2004
  • Bioinformatics is concerned with the creation and development of advanced information and computational technologies for problems in biology. It is divided into genomics, proteomics and metabolimics. In metabolimics, an organism is represented by metabolic pathway, i.e., well-displayed graph, and so the graph drawing tool to draw pathway well is necessary to understand it comprehensively. In this paper, we design an improved drawing algorithm. It enhances the readability by making use of the bipartite graph. Also it is possible to draw large graph properly by considering the facts that metabolic pathway graph is scale-free network and is composed of circular components, hierarchic components and linear components.

An Improved Rectangular Decomposition Algorithm for Data Mining (데이터 마이닝을 위한 개선된 직사각형 분해 알고리즘)

  • Song, Ji-Young;Im, Young-Hee;Park, Dai-Hee
    • The KIPS Transactions:PartB
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    • v.10B no.3
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    • pp.265-272
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    • 2003
  • In this paper, we propose a novel improved algorithm for the rectangular decomposition technique for the purpose of performing data mining from large scaled database in a dynamic environment. The proposed algorithm performs the rectangular decompositions by transforming a binary matrix to bipartite graph and finding bicliques from the transformed bipartite graph. To demonstrate its effectiveness, we compare the proposed one which is based on the newly derived mathematical properties with those of other methods with respect to the classification rate, the number of rules, and complexity analysis.

Many-to-Many Disjoint Path Covers in Two-Dimensional Bipartite Tori with a Single Fault (하나의 고장을 가진 2-차원 이분 토러스에서 다대다 서로소인 경로 커버)

  • Kim, Ho-Dong;Park, Jung-Heum
    • Proceedings of the Korean Information Science Society Conference
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    • 2011.06b
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    • pp.492-495
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    • 2011
  • 그래프 G의 쌍형 다대다 k-서로소민 경로 커버 (k-DPC)는 k개의 서로 다른 소스 정점과 싱크 정점 쌍을 연결하며 그래프에 있는 모든 정점을 지나는 k개의 서로소인 경로 집합을 말한다. 2-차원 $m{\times}n$ 토러스는 길이가 각각 m과 n인 두 사이클 $C_m$$C_n$의 곱으로 정의되는 그래프이다. 이 논문에서는 고장 정접이나 에지가 하나인 $m{\times}n$ 이분 토러스(짝수 m,n ${\geq}$4)에는, 정점 고장이 있고 소스나 싱크 중에 고장 정점과 같은 색을 가진 정점이 오직 하나 존재하거나 혹은 정점 고장이 없고 에지 고장이 하나 존재하면서 둘은 흰색 정점이고 둘은 검정색 정점이면 항상 두 소스-싱크 쌍을 잇는 쌍형 다대다 2-DPC가 존재 힘을 보인다.

Design and Implementation of a Metabolic Pathway Drawing Algorithm based on Structural Characteristics (구조적 특징에 기반한 대사 경로 드로잉 알고리즘의 설계 및 구현)

  • 이소희;송은하;이상호;박현석
    • Proceedings of the Korean Information Science Society Conference
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    • 2004.04b
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    • pp.325-327
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    • 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.

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