• Title/Summary/Keyword: Graph Theory

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Ring Embedding in (n.K) Star Graphs with Faulty Nodes (결함 노드를 갖는 (n,K)-스타 그래프에서의 링 임베딩)

  • Chang, Jung-Hwan;Kim, Jin-Soo
    • Journal of KIISE:Computer Systems and Theory
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    • v.29 no.1
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    • pp.22-34
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    • 2002
  • In this paper, we consider ring embeding problem in faulty (n,k) star graphs which is recently proposed as an alternative interconnection network topology, By effectively utilizing such strategies as series of dimension expansions and even distribution of faulty nodes into sub-stars in graph itself. we prove that it is possible to construct a maximal fault-free ring excluding only faulty nodes when the number of faults is no more than n-3 and $n-k{\geq}2$, and also propose an algorithm which can embed the corresponding ring in (n.k)-star graphs This results will be applied into the multicasting applications that the underlying cycle properties on the multi-computer system.

Interactive Design System for Automatic Generation of Procedural Patterns (절차적 패턴의 자동 생성을 위한 인터랙티브 디자인 시스템)

  • 강재구;황용호;홍현기
    • Journal of KIISE:Computer Systems and Theory
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    • v.31 no.10
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    • pp.603-609
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    • 2004
  • Procedural texture has many advantages that its representation is extremely compact and unfixed in resolution. However, it can be difficult for an end-user having no programming skill to build and debug. This paper presents a new interactive design system for procedural texture generation. The user's interactive design process based on multi-layer operations is represented with a graph structure, which consists of the data node, the operation and the output. Since our system generates automatically a shading language, a user who is not acquainted with implicit concepts can make procedural texturing by using an intuitive and flexible interface. Simulation results showed that the proposed method can make a variety of texture patterns efficiently.

Leaderless Formation Control Strategy and Stability Analysis for Multiple UAVs (리더가 없는 방식의 다수 무인기 편대비행 제어와 안정성 해석)

  • Seo, Joong-Bo;Ahn, Chae-Ick;Kim, You-Dan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.10
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    • pp.988-995
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    • 2008
  • A consensus-based feedback linearization method is proposed to maintain a specified time-varying geometric configuration for formation flying of multiple autonomous vehicles. In this approach, there exists no explicit leader in the team, and the proposed control strategy requires only the local neighbor-to-neighbor information between vehicles. The information flow topology between the vehicles is defined by Graph Laplacian matrix, and the formation flying can be achieved by the proposed feedback linearization with consensus algorithm. The stability analysis of the proposed controller is also performed via eigenvalue analysis for the closed-looop system. Numerical simulation is performed for rotary-wing type micro aerial vehicles to validate the performance of the proposed controller.

Unpaired Many-to-Many Disjoint Path Covers in Hypercube-Like Interconnection Networks (하이퍼큐브형 상호연결망의 비쌍형 다대다 서로소인 경로 커버)

  • Park, Jung-Heum
    • Journal of KIISE:Computer Systems and Theory
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    • v.33 no.10
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    • pp.789-796
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    • 2006
  • An unpaired many-to-many k-disjoint nth cover (k-DPC) of a graph G is a set of k disjoint paths joining k distinct sources and sinks in which each vertex of G is covered by a path. Here, a source can be freely matched to a sink. In this paper, we investigate unpaired many-to-many DPC's in a subclass of hpercube-like interconnection networks, called restricted HL-graphs, and show that every n-dimensional restricted HL-graph, $(m{\geq}3)$, with f or less faulty elements (vertices and/or edges) has an unpaired many-to-many k-DPC for any $f{\geq}0\;and\;k{\geq}1\;with\;f+k{\leq}m-2$.

Spectrum allocation strategy for heterogeneous wireless service based on bidding game

  • Cao, Jing;Wu, Junsheng;Yang, Wenchao
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.3
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    • pp.1336-1356
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    • 2017
  • The spectrum scarcity crisis has resulted in a shortage of resources for many emerging wireless services, and research on dynamic spectrum management has been used to solve this problem. Game theory can allocate resources to users in an economic way through market competition. In this paper, we propose a bidding game-based spectrum allocation mechanism in cognitive radio network. In our framework, primary networks provide heterogeneous wireless service and different numbers of channels, while secondary users have diverse bandwidth demands for transmission. Considering the features of traffic and QoS demands, we design a weighted interference graph-based grouping algorithm to divide users into several groups and construct the non-interference user-set in the first step. In the second step, we propose the dynamic bidding game-based spectrum allocation strategy; we analyze both buyer's and seller's revenue and determine the best allocation strategy. We also prove that our mechanism can achieve balanced pricing schema in competition. Theoretical and simulation results show that our strategy provides a feasible solution to improve spectrum utilization, can maximize overall utility and guarantee users' individual rationality.

Optimizing Bi-Objective Multi-Echelon Multi-Product Supply Chain Network Design Using New Pareto-Based Approaches

  • Jafari, Hamid Reza;Seifbarghy, Mehdi
    • Industrial Engineering and Management Systems
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    • v.15 no.4
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    • pp.374-384
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    • 2016
  • The efficiency of a supply chain can be extremely affected by its design which includes determining the flow pattern of material from suppliers to costumers, selecting the suppliers, and defining the opened facilities in network. In this paper, a multi-objective multi-echelon multi-product supply chain design model is proposed in which several suppliers, several manufacturers, several distribution centers as different stages of supply chain cooperate with each other to satisfy various costumers' demands. The multi-objectives of this model which considered simultaneously are 1-minimize the total cost of supply chain including production cost, transportation cost, shortage cost, and costs of opening a facility, 2-minimize the transportation time from suppliers to costumers, and 3-maximize the service level of the system by minimizing the maximum level of shortages. To configure this model a graph theoretic approach is used by considering channels among each two facilities as links and each facility as the nodes in this configuration. Based on complexity of the proposed model a multi-objective Pareto-based vibration damping optimization (VDO) algorithm is applied to solve the model and finally non-dominated sorting genetic algorithm (NSGA-II) is also applied to evaluate the performance of MOVDO. The results indicated the effectiveness of the proposed MOVDO to solve the model.

Power Tracing Method for Transmission Usage Allocation Considering Reactive Power

  • Han Choong-Kyo;Park Jong-Keun;Jung Hae-Sung
    • KIEE International Transactions on Power Engineering
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    • v.5A no.1
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    • pp.79-84
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    • 2005
  • In many countries, the electric power industry is undergoing significant changes known as deregulation and restructuring. These alterations introduce competition in generation and retail and require open access to the transmission network. The competition of the electric power industry causes many issues to surface. Among them, unbundling of the transmission service is probably the most complicated as it is a single and integrated sector and the transmission revenue requirement must be allocated to market participants in a fair way. In these situations, it is valuable to research the methodologies to allocate transmission usage. The power tracing method offers useful information such as which generators supply a particular load or how much each generator (load) uses a particular transmission line. With this information, we can allocate required transmission revenue to market participants. Recently, several algorithms were proposed for tracing power flow but there is no dominant power tracing method. This paper proposes a power tracing method based on graph theory and complex-current distribution. For practicability, the proposed method for transmission usage allocation is applied to IEEE 30 buses and compared with the method proposed by Felix F.Wu.

A Construction of the Linear Digital Switching Function over Finite Fields (유한체상에서의 선형디지털스위칭함수 구성)

  • Park, Chun-Myoung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.12
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    • pp.2201-2206
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    • 2008
  • This paper presents a method of constructing the Linear Digital Switching Function(LDSF) over finite fields. The proposed method is as following. First of all, we extract the input/output relationship of linear characteristics for the given digital switching functions, Next, we convert the input/output relationship to Directed Cyclic Graph(DCG) using basic gates adder and coefficient multiplier that are defined by mathematical properties in finite fields. Also, we propose the new factorization method for matrix characteristics equation that represent the relationship of the input/output characteristics. The proposed method have properties of generalization and regularity. Also, the proposed method is possible to any prime number multiplication expression.

Software Engineering Meets Network Engineering: Conceptual Model for Events Monitoring and Logging

  • Al-Fedaghi, Sabah;Behbehani, Bader
    • International Journal of Computer Science & Network Security
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    • v.21 no.12
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    • pp.9-20
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    • 2021
  • Abstraction applied in computer networking hides network details behind a well-defined representation by building a model that captures an essential aspect of the network system. Two current methods of representation are available, one based on graph theory, where a network node is reduced to a point in a graph, and the other the use of non-methodological iconic depictions such as human heads, walls, towers or computer racks. In this paper, we adopt an abstract representation methodology, the thinging machine (TM), proposed in software engineering to model computer networks. TM defines a single coherent network architecture and topology that is constituted from only five generic actions with two types of arrows. Without loss of generality, this paper applies TM to model the area of network monitoring in packet-mode transmission. Complex network documents are difficult to maintain and are not guaranteed to mirror actual situations. Network monitoring is constant monitoring for and alerting of malfunctions, failures, stoppages or suspicious activities in a network system. Current monitoring systems are built on ad hoc descriptions that lack systemization. The TM model of monitoring presents a theoretical foundation integrated with events and behavior descriptions. To investigate TM modeling's feasibility, we apply it to an existing computer network in a Kuwaiti enterprise to create an integrated network system that includes hardware, software and communication facilities. The final specifications point to TM modeling's viability in the computer networking field.

The Issue-network: A Study of New User Research Method in the Context of a Car Navigation Design (이슈 네트워크를 활용한 사용자 조사 방법론: 자동차 내비게이션 디자인을 중심으로)

  • Kim, Dongwhan;Lee, Dongmin;Ha, Seyong;Lee, Joonhwan
    • Journal of Korea Multimedia Society
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    • v.22 no.4
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    • pp.502-514
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    • 2019
  • Existing user research methods are subject to a variety of research conditions such as the amount and variety of data collected and the expertise of the facilitator of a group research session. In this study, we propose a new user research methodology using an 'Issue-Network' system, which is developed based on the theory and methods of social network analysis. The Issue-Network is designed to define problem spaces from the issues raised by users in a group research session in a form of an interactive network graph. The system helps to break out of ordinary perspectives of looking into problem spaces by enabling an alternative and more creative way to connect issues in the network. In this study, we took a case study of generating the Issue-Network on behalf of the problems raised by users in various driving-related situations. We were able to draw three navigation usage scenarios that cover relatively important problem spaces: safety and being ready for the unexpected, smart navigation and notifications, making use of the spare time. In the future, the Issue-Network system is expected to be used as a tool to identify problems and derive solutions in group research sessions involving a large number of users.