• Title/Summary/Keyword: strongly connected components

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RECOGNITION OF STRONGLY CONNECTED COMPONENTS BY THE LOCATION OF NONZERO ELEMENTS OCCURRING IN C(G) = (D - A(G))-1

  • Kim, Koon-Chan;Kang, Young-Yug
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.125-135
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    • 2004
  • One of the intriguing and fundamental algorithmic graph problems is the computation of the strongly connected components of a directed graph G. In this paper we first introduce a simple procedure for determining the location of the nonzero elements occurring in $B^{-1}$ without fully inverting B, where EB\;{\equiv}\;(b_{ij)\;and\;B^T$ are diagonally dominant matrices with $b_{ii}\;>\;0$ for all i and $b_{ij}\;{\leq}\;0$, for $i\;{\neq}\;j$, and then, as an application, show that all of the strongly connected components of a directed graph G can be recognized by the location of the nonzero elements occurring in the matrix $C(G)\;=\;(D\;-\;A(G))^{-1}$. Here A(G) is an adjacency matrix of G and D is an arbitrary scalar matrix such that (D - A(G)) becomes a diagonally dominant matrix.

A Distributed Algorithm to Update Spanning Tree and Strongly-Connected Components (생성트리와 강결합요소의 갱신을 위한 분산 알고리즘)

  • Park, Jeong-Ho;Park, Yun-Yong;Choe, Seong-Hui
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.2
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    • pp.299-306
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    • 1999
  • Considers the problem to update the spanning tree and strongly-connected components in response to topology change of the network. This paper proposes a distributed algorithm that solves such a problem after several processors and links are added and deleted. Its message complexity and its ideal-time complexity are O(n'log n'+ (n'+s+t)) and O(n'logn') respectively where n'is the number of processors in the network after the topology change, s is the number of added links, and t is the total number of links in the strongly connected component (of the network before the topology change) including the deleted links.

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Text Location and Extraction for Business Cards Using Stroke Width Estimation

  • Zhang, Cheng Dong;Lee, Guee-Sang
    • International Journal of Contents
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    • v.8 no.1
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    • pp.30-38
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    • 2012
  • Text extraction and binarization are the important pre-processing steps for text recognition. The performance of text binarization strongly related to the accuracy of recognition stage. In our proposed method, the first stage based on line detection and shape feature analysis applied to locate the position of a business card and detect the shape from the complex environment. In the second stage, several local regions contained the possible text components are separated based on the projection histogram. In each local region, the pixels grouped into several connected components based on the connected component labeling and projection histogram. Then, classify each connect component into text region and reject the non-text region based on the feature information analysis such as size of connected component and stroke width estimation.

Circuits Detection Algorithms Using Strongly Connected Components in Web Contents (웹 컨텐츠에서 강결합요소를 이용한 순환 탐색 알고리즘)

  • Lee, Woo-Key;Lee, Ja-Mes
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.11a
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    • pp.641-651
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    • 2006
  • 거대한 웹 컨텐츠 안에는 수많은 링크들로 인한 순환들이 존재하게 된다. 그 순환들은 강하게 뭉쳐있는 실타래 처럼, 강하게 결합한 순환들의 덩어리 형태로 존재하게 된다. 웹 컨텐츠는 흔히 방향그래프로 표현되는데, 즉 웹 컨텐츠에서 나타나는 수많은 링크둘을 방향그래프에서 강결합요소를 이용하면 모든 순환을 효율적으로 발견할 수 있다. 본 논문에서는 강결합요소를 이용하여 거대한 그래프에서 보다 효율적으로 모든 순환을 찾아낼 수 있는 방법을 제시하였다.

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UT Inspection Technique of Cast Stainless Steel Piping Welds Using Low Frequency TRL UT Probe (저주파수 TRL 탐촉자를 이용한 Cast Stainless Steel 배관 용접부 초음파탐상기법)

  • Shin, Keon-Cheol;Chang, Hee-Jun;Jeong, Young-Cheol;Noh, Ik-Jun;Lee, Dong-Jin
    • Transactions of the Korean Society of Pressure Vessels and Piping
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    • v.6 no.1
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    • pp.29-36
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    • 2010
  • Ultrasonic inspection of heavy walled cast austenitic stainless steel(CASS)welds is very difficult due to complex and coarse grained structure of CASS material. The large size of anisotropic grain strongly affects the propagation of ultrasound by severe attenuation, change in velocity, and scattering of ultrasonic energy. therefore, the signal patterns originated from flaws can be difficult to distinguish from scattered signals. To improve detection and sizing capability of ID connected defect for heavy walled CASS piping welds, the low frequency segmented TRL Pulse Echo and Phased Array probe has been developed. The experimental studies have been performed using CASS pipe mock-up block containing artificial reflectors(ID connected EDM notch). The automatic pulse echo and phase array technique is applied the detection and the length sizing of the ID connected artificial reflectors and the results for detection and sizing has been compared respectively. The goal of this study is to assess a newly developed ultrasonic probe to improve the detection ability and the sizing of the crack in coarse-grained CASS components.

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Failure Studies on the Wear Scars of an Automotive Tire (차량용 타이어의 마멸손상에 관한 고장사례 연구)

  • Lee, II-Kwon;Kim, Chung-Kyun
    • Tribology and Lubricants
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    • v.23 no.5
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    • pp.228-233
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    • 2007
  • This paper presents the case studies on the friction related wears of an automotive tire, which is strongly connected to the safety and comfort of a driver during a running of a car. Wear scars of a tire tread are affected by various causes such as an air pressure, a wheel alignment, a driving speed, road conditions, starting and braking habits of a driver. The data were collected from used tires for a replacement at the car service center. Most of the wear problems came from the improper repair and adjustment of revolving components, which cause an unbalanced wear of a tread part of a tire. Thus, the regular checking of a tire radically reduces the wear scars of a tire and may increase a driving safety and a fuel economy of a car and a wear life of a tire.

Design and Implementation of a Adapted Genetic Algorithm for Circuit Placement (어댑티드 회로 배치 유전자 알고리즘의 설계와 구현)

  • Song, Ho-Jeong;Kim, Hyun-Gi
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.17 no.2
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    • pp.13-20
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    • 2021
  • Placement is a very important step in the VLSI physical design process. It is the problem of placing circuit modules to optimize the circuit performance and reliability of the circuit. It is used at the layout level to find strongly connected components that can be placed together in order to minimize the layout area and propagation delay. The most popular algorithms for circuit placement include the cluster growth, simulated annealing, integer linear programming and genetic algorithm. In this paper we propose a adapted genetic algorithm searching solution space for the placement problem, and then compare it with simulated annealing and genetic algorithm by analyzing the results of each implementation. As a result, it was found that the adaptive genetic algorithm approaches the optimal solution more effectively than the simulated annealing and genetic algorithm.

Study on Birefringence Effect Of Single-Mode Fiber on Output Spectra of High-Order Fiber Comb Filter Based on Polarization-Diversity Loop Configuration (단일 모드 광섬유의 복굴절이 편광상이 배치구조 기반 고차 광섬유 빗살 필터의 출력 스펙트럼에 미치는 영향에 대한 고찰)

  • Kim, Young-Ho;Lee, Yong-Wook
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.26 no.6
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    • pp.8-15
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    • 2012
  • In this paper, we investigated possible optical parameters causing deviation of experimentally observed output spectra from theoretically predicted results in a high-order fiber comb filter based on a polarization-diversity loop configuration. They include wavelength dependency of half-wave plates (HWPs) inserted in the filter for wavelength switching and the modal birefringence of single-mode fibers (SMFs) with which optical components comprising the filter are connected. In order to consider the effect of the modal birefringence of the SMF on a filter performance, it is modeled as a low birefringence fiber with an arbitrary orientation angle and birefringence. It is found from the simulation results that the modal birefringence of SMFs strongly affects the spectral characteristics of the filter and decreases the extinction ratio of the filter, compared with the wavelength dependency of HWPs. In particular, it is also confirmed that the spectral deviation and asymmetric distortions of side-lobes in narrow band transmission spectra result mainly from the modal birefringence of SMFs.

Design and Implementation of a Genetic Algorithm for Circuit Partitioning (회로 분할 유전자 알고리즘의 설계와 구현)

  • 송호정;송기용
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.4
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    • pp.97-102
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    • 2001
  • In computer-aided design, partitioning is task of clustering objects into groups to that a given objection function is optimized It is used at the layout level to fin strongly connected components that can be placed together in order to minimize the layout area and propagation delay. Partitioning can also be used to cluster variables and operation into groups for scheduling and unit selection in high-level synthesis. The most popular algorithms partitioning include the Kernighan-Lin algorithm Fiduccia-Mattheyses heuristic and simulated annealing In this paper we propose a genetic algorithm searching solution space for the circuit partitioning problem. and then compare it with simulated annealing by analyzing the results of implementation.

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A Study of Adapted Genetic Algorithm for Circuit Partitioning (회로 분할을 위한 어댑티드 유전자 알고리즘 연구)

  • Song, Ho-Jeong;Kim, Hyun-Gi
    • The Journal of the Korea Contents Association
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    • v.21 no.7
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    • pp.164-170
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    • 2021
  • In VLSI design, partitioning is a task of clustering objects into groups so that a given objective circuit is optimized. It is used at the layout level to find strongly connected components that can be placed together in order to minimize the layout area and propagation delay. The most popular algorithms for partitioning include the Kernighan-Lin algorithm, Fiduccia-Mattheyses heuristic and simulated annealing. In this paper, we propose a adapted genetic algorithm searching solution space for the circuit partitioning problem, and then compare it with simulated annealing and genetic algorithm by analyzing the results of implementation. As a result, it was found that an adaptive genetic algorithm approaches the optimal solution more effectively than the simulated annealing and genetic algorithm.