• Title/Summary/Keyword: Graph Theory

Search Result 390, Processing Time 0.03 seconds

Controller Design of Takagi-Sugeno Fuzzy Model-Based Multi-Agent Systems for State Consensus (타카기-수게노 퍼지모델 기반 다개체 시스템의 상태일치를 위한 제어기 설계)

  • Moon, Ji Hyun;Lee, Ho Jae;Kim, Do Wan
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.23 no.2
    • /
    • pp.133-138
    • /
    • 2013
  • This paper addresses a state consensus controller design technique of Takagi-Sugeno fuzzy model-based multi-agent systems in a continuous-time domain. We express the interconnection topology among the agents through graph theory. The design condition is represented in terms of linear matrix inequalities. Numerical example is provided to demonstrate the effectiveness of the proposed method.

Application of graph theory for analyzing the relational location features of cave as tourists attraction (II): focused on the analysis of network status (동굴관광지의 관계적 입지특성 분석을 위한 그래프이론의 적용(II): 네트워크의 지위분석 기법의 적용을 중심으로)

  • Hong, Hyun-Cheol
    • Journal of the Speleological Society of Korea
    • /
    • no.88
    • /
    • pp.38-44
    • /
    • 2008
  • This study aims to identify the efficiency by applying diverse index to the positions of vertex in the network among the network analysis methods in order to identify the relational location features of caves. The first consideration was about the relational location features according to the linking degree and centrality of cave. The second consideration was about the structural equivalence between caves or between caves and the surrounding tourists attractions. A variety of index examined in this study is very efficient for identifying the positions of caves in the network. Furthermore, the relational location features in consideration of surrounding tourists attractions identified the availability of more objective and quantitative expression. In particular, when there are other caves around a cave, it is also very useful to identify the structural equivalence or comparison with other caves.

Better Analysis of Lower Bounds of Frequency Assignment Problems in Wireless Networks with Cellular Topology (셀룰러 위상구조 무선망에서의 주파수 할당 문제의 향상된 하한 값 분석)

  • Lee, Sang-Kyu;Lee, Ju-Young
    • Journal of KIISE:Computer Systems and Theory
    • /
    • v.33 no.11
    • /
    • pp.830-835
    • /
    • 2006
  • Because of its exponential growth of data and voice transmissions through wireless communications, efficient resource management became more important factor when we design wireless networks. One of those limited resources in the wireless communications is frequency bandwidth. As a solution of increasing reusability of resources, the efficient frequency assignment problems on wireless networks have been widely studied. One suitable approach to solve these frequency assignment problems is transforming the problem into traditional graph coloring problems in graph theory. However, most of frequency assignments on arbitrary network topology are NP-Complete problems. In this paper, we consider the Chromatic Bandwidth Problem on the cellular topology wireless networks. It is known that the lower bound of the necessary number of frequencies for this problem is $O(k^2)$. We prove that the lower bound of the necessary number of frequencies for the Chromatic Bandwidth Problem is $O(k^3)$ which is tighter lower bound than the previous known result.

Resource Allocation for D2D Communication in Cellular Networks Based on Stochastic Geometry and Graph-coloring Theory

  • Xu, Fangmin;Zou, Pengkai;Wang, Haiquan;Cao, Haiyan;Fang, Xin;Hu, Zhirui
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • v.14 no.12
    • /
    • pp.4946-4960
    • /
    • 2020
  • In a device-to-device (D2D) underlaid cellular network, there exist two types of co-channel interference. One type is inter-layer interference caused by spectrum reuse between D2D transmitters and cellular users (CUEs). Another type is intra-layer interference caused by spectrum sharing among D2D pairs. To mitigate the inter-layer interference, we first derive the interference limited area (ILA) to protect the coverage probability of cellular users by modeling D2D users' location as a Poisson point process, where a D2D transmitter is allowed to reuse the spectrum of the CUE only if the D2D transmitter is outside the ILA of the CUE. To coordinate the intra-layer interference, the spectrum sharing criterion of D2D pairs is derived based on the (signal-to-interference ratio) SIR requirement of D2D communication. Based on this criterion, D2D pairs are allowed to share the spectrum when one D2D pair is far from another sufficiently. Furthermore, to maximize the energy efficiency of the system, a resource allocation scheme is proposed according to weighted graph coloring theory and the proposed ILA restriction. Simulation results show that our proposed scheme provides significant performance gains over the conventional scheme and the random allocation scheme.

Processing Sliding Window Multi-Joins using a Graph-Based Method over Data Streams (데이터 스트림에서 그래프 기반 기법을 이용한 슬라이딩 윈도우 다중 조인 처리)

  • Zhang, Liang;Ge, Jun-Wei;Kim, Gyoung-Bae;Lee, Soon-Jo;Bae, Hae-Young;You, Byeong-Seob
    • Journal of Korea Spatial Information System Society
    • /
    • v.9 no.2
    • /
    • pp.25-34
    • /
    • 2007
  • Existing approaches that select an order for the join of three or more data streams have always used the simple heuristics. For their disadvantage - only one factor is considered and that is join selectivity or arrival rate, these methods lead to poor performance and inefficiency In some applications. The graph-based sliding window multi -join algorithm with optimal join sequence is proposed in this paper. In this method, sliding window join graph is set up primarily, in which a vertex represents a join operator and an edge indicates the join relationship among sliding windows, also the vertex weight and the edge weight represent the cost of join and the reciprocity of join operators respectively. Then the optimal join order can be found in the graph by using improved MVP algorithm. The final result can be produced by executing the join plan with the nested loop join procedure, The advantages of our algorithm are proved by the performance comparison with existing join algorithms.

  • PDF

Hardware Synthesis From Coarse-Grained Dataflow Specification For Fast HW/SW Cosynthesis (빠른 하드웨어/소프트웨어 통합합성을 위한 데이타플로우 명세로부터의 하드웨어 합성)

  • Jung, Hyun-Uk;Ha, Soon-Hoi
    • Journal of KIISE:Computer Systems and Theory
    • /
    • v.32 no.5
    • /
    • pp.232-242
    • /
    • 2005
  • This paper concerns automatic hardware synthesis from data flow graph (DFG) specification for fast HW/SW cosynthesis. A node in BFG represents a coarse grain block such as FIR and DCT and a port in a block may consume multiple data samples per invocation, which distinguishes our approach from behavioral synthesis and complicates the problem. In the presented design methodology, a dataflow graph with specified algorithm can be mapped to various hardware structures according to the resource allocation and schedule information. This simplifies the management of the area/performance tradeoff in hardware design and widens the design space of hardware implementation of a dataflow graph compared with the previous approaches. Through experiments with some examples, the usefulness of the proposed technique is demonstrated.

Synthesizing multi-loop control systems with period adjustment and Kernel compilation (주기 조정과 커널 자동 생성을 통한 다중 루프 시스템의 구현)

  • Hong, Seong-Soo;Choi, Chong-Ho;Park, Hong-Seong
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.3 no.2
    • /
    • pp.187-196
    • /
    • 1997
  • This paper presents a semi-automatic methodology to synthesize executable digital controller saftware in a multi-loop control system. A digital controller is described by a task graph and end-to-end timing requirements. A task graph denotes the software structure of the controller, and the end-to-end requirements establish timing relationships between external inputs and outputs. Our approach translates the end-to-end requirements into a set of task attributes such as task periods and deadlines using nonlinear optimization techniques. Such attributes are essential for control engineers to implement control programs and schedule them in a control system with limited resources. In current engineering practice, human programmers manually derive those attributes in an ad hoc manner: they often resort to radical over-sampling to safely guarantee the given timing requirements, and thus render the resultant system poorly utilized. After task-specific attributes are derived, the tasks are scheduled on a single CPU and the compiled kernel is synthesized. We illustrate this process with a non-trivial servo motor control system.

  • PDF

Analysis on the Unit-Plans of Shinonome Canal Court Multi-dwellings Project in Japan (일본 공동주택 시노노메 캐널코트의 단위세대 주거평면 분석)

  • Suh, Kuee-Sook
    • Journal of the Korean housing association
    • /
    • v.19 no.2
    • /
    • pp.43-54
    • /
    • 2008
  • The aim of the research is to find out the direction of unit-plans in multi-dwellings for the future society. Shinonome Canal Court where residents actually live now are the objects in this study, and the residential floor plan of unit-plans were analyzed to find out the typical types. The analysis was focused on the unit-plans of 5 blocks of Shinonome Canal Court. Space Syntax Theory was used as the analysis method. As the first stage of the analysis, justified graphs were made to find out the characters of unit-plans through the classification of the graphs. Contents of the analysis are as follows: Relationship between classified justified graphs and dimension according to node number. Relationship between classified justified graph patterns and unit-plans. Characters of unit-plans in each blocks. Shinonome Canal Court consists of mainly small scale unit-plans and 30unit-plans are classified. 1LDK, 2LDK, 1LDK+S, 1LDK+f are typical unit-plans which are mainly supplied in the complex. It is noted that the results of the analysis by node, justified graph pattern and dimension are the same. It also presents diverse unit-plans which shows a change in nLDK pattern or add f (foyer), AN (annex), S (service room), Fs (free space) to basic nLDK type. In summary, it demonstrates the possibility of creating new residental floor plans in multi-dwellings.

A DoS Detection Method Based on Composition Self-Similarity

  • Jian-Qi, Zhu;Feng, Fu;Kim, Chong-Kwon;Ke-Xin, Yin;Yan-Heng, Liu
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • v.6 no.5
    • /
    • pp.1463-1478
    • /
    • 2012
  • Based on the theory of local-world network, the composition self-similarity (CSS) of network traffic is presented for the first time in this paper for the study of DoS detection. We propose the concept of composition distribution graph and design the relative operations. The $(R/S)^d$ algorithm is designed for calculating the Hurst parameter. Based on composition distribution graph and Kullback Leibler (KL) divergence, we propose the composition self-similarity anomaly detection (CSSD) method for the detection of DoS attacks. We evaluate the effectiveness of the proposed method. Compared to other entropy based anomaly detection methods, our method is more accurate and with higher sensitivity in the detection of DoS attacks.

A Study on Discrete Mathematics Subjects Focused on the Network Problem for the Mathematically Gifted Students in the Elementary School (초등 영재교육에 적용 가능한 이산수학 주제의 내용 구성에 관한 소고 -네트워크 문제를 중심으로-)

  • Choi, Keun-Bae
    • School Mathematics
    • /
    • v.7 no.4
    • /
    • pp.353-373
    • /
    • 2005
  • The purpose of this paper is to analysis the basic network problem which can be applied to the mathematically gifted students in elementary school. Mainly, we discuss didactic transpositions of the double counting principle, the game of sprouts, Eulerian graph problem, and the minimum connector problem. Here the double counting principle is related to the handshaking lemma; in any graph, the sum of all the vertex-degree is equal to the number of edges. The selection of these subjects are based on the viewpoint; to familiar to graph theory, to raise algorithmic thinking, to apply to the real-world problem. The theoretical background of didactic transpositions of these subjects are based on the Polya's mathematical heuristics and Lakatos's philosophy of mathematics; quasi-empirical, proofs and refutations as a logic of mathematical discovery.

  • PDF