• Title/Summary/Keyword: Graph theory

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Spatial target path following and coordinated control of multiple UUVs

  • Qi, Xue;Xiang, Peng;Cai, Zhi-jun
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.12 no.1
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    • pp.832-842
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    • 2020
  • The coordination control of multiple Underactuated Underwater Vehicles (UUVs) moving in three dimensional space is investigated in this paper. The coordinated path following control task is decomposed into two sub tasks, that is, path following control and coordination control. In the spatial curve path following control task, path following error dynamics is build in the Serret-Frenet coordinate frame. The virtual reference object can be chosen freely on the desired spatial path. Considering the speed of the UUV, the line-of-sight navigation is introduced to help the path following errors quickly converge to zero. In the coordination control sub task, the communication topology of multiple UUVs is described by the graph theory. The speed of each UUV is adjusted to achieve the coordination. The path following system and the coordination control system are viewed as the feedback connection system. Input-to-state stable of the coordinated path following system can be proved by small gain theorem. The simulation experiments can further demonstrate the good performance of the control method.

Dynamic Configuration and Operation of District Metered Areas in Water Distribution Networks

  • Bui, Xuan-Khoa;Kang, Doosun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.147-147
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    • 2021
  • A partition of water distribution network (WDN) into district metered areas (DMAs) brings the efficiency and efficacy for water network operation and management (O&M), especially in monitoring pressure and leakage. Traditionally, the DMA configurations (i.e., number, shape, and size of DMAs) are permanent and cannot be changed occasionally. This leads to changes in water quality and reduced network redundancy lowering network resilience against abnormal conditions such as water demand variability and mechanical failures. This study proposes a framework to automatically divide a WDN into dynamic DMA configurations, in which the DMA layouts can self-adapt in response to abnormal scenarios. To that aim, a complex graph theory is adopted to sectorize a WDN into multiscale DMA layouts. Then, different failure-based scenarios are investigated on the existing DMA layouts. Here, an optimization-based model is proposed to convert existing DMA layouts into dynamic layouts by considering existing valves and possibly placing new valves. The objective is to minimize the alteration of flow paths (i.e., flow direction and velocity in the pipes) while preserving the hydraulic performance of the network. The proposed method is tested on a real complex WDN for demonstration and validation of the approach.

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Multidimensional Analysis of Consumers' Opinions from Online Product Reviews

  • Taewook Kim;Dong Sung Kim;Donghyun Kim;Jong Woo Kim
    • Asia pacific journal of information systems
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    • v.29 no.4
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    • pp.838-855
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    • 2019
  • Online product reviews are a vital source for companies in that they contain consumers' opinions of products. The earlier methods of opinion mining, which involve drawing semantic information from text, have been mostly applied in one dimension. This is not sufficient in itself to elicit reviewers' comprehensive views on products. In this paper, we propose a novel approach in opinion mining by projecting online consumers' reviews in a multidimensional framework to improve review interpretation of products. First of all, we set up a new framework consisting of six dimensions based on a marketing management theory. To calculate the distances of review sentences and each dimension, we embed words in reviews utilizing Google's pre-trained word2vector model. We classified each sentence of the reviews into the respective dimensions of our new framework. After the classification, we measured the sentiment degrees for each sentence. The results were plotted using a radar graph in which the axes are the dimensions of the framework. We tested the strategy on Amazon product reviews of the iPhone and Galaxy smartphone series with a total of around 21,000 sentences. The results showed that the radar graphs visually reflected several issues associated with the products. The proposed method is not for specific product categories. It can be generally applied for opinion mining on reviews of any product category.

Examining the Urban Inclusivity of Xita Koreatown in Shenyang: With a Focus of the Actor-Network Theory (심양 서탑 코리아타운의 도시 포용성 연구: 행위자-연결망 이론을 중심으로)

  • Li, Shenhong;Kim, Minhyoung
    • The Journal of the Korea Contents Association
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    • v.20 no.10
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    • pp.177-189
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    • 2020
  • To newly discover the placeness of Xita Koreatown in Shenyang, this study establishes the conceptual structure of urban inclusivity based on the actor-network theory and the main discourse of inclusive cities. It then applies a framework to the relevant space for analysis. We conduct the case study by first identifying a historical timeline by dividing the age from the founding of New China to the present into sprouting and developing stages of Xita Koreatown, extracting major actors out of time, and finally creating a network graph for each of the six periods representing changes in the region. Throughout this process, we not only analyze the aspect of transition in the urban inclusivity of Xita Koreatown but also prospect the feasibility of an inclusive city for the area. The results of this study are as follows. First, the number and type of actors constituting Xita Koreatown have constantly increased significantly since the establishment of diplomatic relations between China and South Korea. The related actor-networks have also continued to expand in all indicators of urban inclusivity. Secondly, the agency of human actors such as Korean-Chinese, locals, and both South and North Koreans, representing the specificity of Xita Koreatown, has continuously improved. Lastly, due to the increase of cultural exchanges and related policy actors, the actor-network in this region has achieved an unprecedented leap forward. In conclusion, the urban inclusivity of Xita Koreatown in Shenyang shows significant growth in quality, with expectations of further improvement.

Minimum Cost Path for Private Network Design (개인통신망 설계를 위한 최소 비용 경로)

  • Choe, Hong-Sik;Lee, Ju-Yeong
    • Journal of KIISE:Computer Systems and Theory
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    • v.26 no.11
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    • pp.1373-1381
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    • 1999
  • 이 논문에서는 통신망 설계 응용분야의 문제를 그래프 이론 문제로써 고려해 보았다. 개별 기업체가 서로 떨어진 두 곳을 연결하고자 할 때 공용통신망의 회선을 빌려 통신망을 구축하게 되는데 많은 경우 여러 종류의 회선들이 공급됨으로 어떤 회선을 선택하느냐의 문제가 생긴다. 일반적으로 빠른 회선(low delay)은 느린 회선(high delay)에 비해 비싸다. 그러나 서비스의 질(Quality of Service)이라는 요구사항이 종종 종단지연(end-to-end delay)시간에 의해 결정되므로, 무조건 낮은 가격의 회선만을 사용할 수는 없다. 결국 개별 기업체의 통신망을 위한 통로를 공용 통신망 위에 덮어씌워(overlaying) 구축하는 것의 여부는 두 개의 상반된 인자인 가격과 속도의 조절에 달려 있다. 따라서 일반적인 최소경로 찾기의 변형이라 할 수 있는 다음의 문제가 본 논문의 관심사이다. 두 개의 지점을 연결하는데 종단지연시간의 한계를 만족하면서 최소경비를 갖는 경로에 대한 해결을 위하여, 그래프 채색(coloring) 문제와 최단경로문제를 함께 포함하는 그래프 이론의 문제로 정형화시켜 살펴본다. 배낭문제로의 변환을 통해 이 문제는 {{{{NP-complete임을 증명하였고 {{{{O($\mid$E$\mid$D_0 )시간에 최적값을 주는 의사선형 알고리즘과O($\mid$E$\mid$)시간의 근사 알고리즘을 보였다. 특별한 경우에 대한 {{{{O($\mid$V$\mid$ + $\mid$E$\mid$)시간과 {{{{O($\mid$E$\mid$^2 + $\mid$E$\mid$$\mid$V$\mid$log$\mid$V$\mid$)시간 알고리즘을 보였으며 배낭 문제의 해결책과 유사한 그리디 휴리스틱(greedy heuristic) 알고리즘이 그물 구조(mesh) 그래프 상에서 좋은 결과를 보여주고 있음을 실험을 통해 확인해 보았다.Abstract This paper considers a graph-theoretic problem motivated by a telecommunication network optimization. When a private organization wishes to connect two sites by leasing physical lines from a public telecommunications network, it is often the cases that several categories of lines are available, at different costs. Typically a faster (low delay) lines costs more than a slower (high delay) line. However, low cost lines cannot be used exclusively because the Quality of Service (QoS) requirements often impose a bound on the end-to-end delay. Therefore, overlaying a path on the public network involves two diametrically opposing factors: cost and delay. The following variation of the standard shortest path problem is thus of interest: the shortest route between the two sites that meets a given bound on the end-to-end delay. For this problem we formulate a graph-theoretical problem that has both a shortest path component as well as coloring component. Interestingly, the problem could be formulated as a knapsack problem. We have shown that the general problem is NP-complete. The optimal polynomial-time algorithms for some special cases and one heuristic algorithm for the general problem are described.

A Study on the Spatial Structure Change of Elderly Care Facility according to Introduction of Long-Term Care Insurance (장기요양보험제도의 도입에 따른 노인요양시설의 공간구조 변화에 관한 연구)

  • Yoon, Sohee;Kim, Suktae
    • Journal of The Korea Institute of Healthcare Architecture
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    • v.20 no.4
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    • pp.67-80
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    • 2014
  • Purpose : Long-term Care Insurance sets up facility standard and installation standard of aged care facilities and decides the presence of minimum number of rooms and its size in care facilities by using systematic instruments. Therefore, most aged care facilities had renovation in expansion and reconstruction following the revised regulations and even facility space structure and space composition are continuously improving. The study is to determine the purpose and trend by comparing before and after space composition of facilities which followed the implementation of Long-term Care Insurance and also to suggest hierarchical space composition suitable for aged care facilities through derived problems and to provide basic materials to plan the most appropriate facility for the aged. Methods : J-graph based on Space Syntax Theory will be schematized through in-site facility survey and before and after facility floor plan. Space composition trend will be analyzed by comparing indexes through S3 program. Results : As a result of 5 cases analysis, the following results were found; the average of whole space depth is increasing due to the Extension, the number of volunteers is decreasing and rooms for geriatric care helpers are being created due to the geriatric care helper introduction duty. Also, there are solariums being created to improve the health of the aged and dispensaries are being placed on every floor with the increase of documentary work for geriatric care helpers. With the policy implementation, care facility space composition and structure are changing with facility standard and it was analyzed that facilities were mostly put under the control of limited number of people in care room and total ground area per person. It was also found that there is increase in care space integration through before and after comparison of whole integration value. This is considered as the important result not only in facility standard satisfaction, but also in care support of geriatric care helpers and the aged, its main users. Implication : In order for elderly care facilities to have quality improvement and to develop as suitable facilities for characteristics of the aged, independent environmental facility standard preparation of elderly care facilities is needed through mutual cooperation of construction fields with regulation and policy related researches.

Fault Diameter and Mutually Disjoint Paths in Multidimensional Torus Networks (다차원 토러스 네트워크의 고장지름과 서로소인 경로들)

  • Kim, Hee-Chul;Im, Do-Bin;Park, Jung-Heum
    • Journal of KIISE:Computer Systems and Theory
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    • v.34 no.5_6
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    • pp.176-186
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    • 2007
  • An interconnection network can be represented as a graph where a vertex corresponds to a node and an edge corresponds to a link. The diameter of an interconnection network is the maximum length of the shortest paths between all pairs of vertices. The fault diameter of an interconnection network G is the maximum length of the shortest paths between all two fault-free vertices when there are $_k(G)-1$ or less faulty vertices, where $_k(G)$ is the connectivity of G. The fault diameter of an R-regular graph G with diameter of 3 or more and connectivity ${\tau}$ is at least diam(G)+1 where diam(G) is the diameter of G. We show that the fault diameter of a 2-dimensional $m{\times}n$ torus with $m,n{\geq}3$ is max(m,n) if m=3 or n=3; otherwise, the fault diameter is equal to its diameter plus 1. We also show that in $d({\geq}3)$-dimensional $k_1{\times}k_2{\times}{\cdots}{\times}k_d$ torus with each $k_i{\geq}3$, there are 2d mutually disjoint paths joining any two vertices such that the lengths of all these paths are at most diameter+1. The paths joining two vertices u and v are called to be mutually disjoint if the common vertices on these paths are u and v. Using these mutually disjoint paths, we show that the fault diameter of $d({\geq}3)$-dimensional $k_1{\times}k_2{\times}{\cdots}{\times}k_d$ totus with each $k_i{\geq}3$ is equal to its diameter plus 1.

Analysis of a Large-scale Protein Structural Interactome: Ageing Protein structures and the most important protein domain

  • Bolser, Dan;Dafas, Panos;Harrington, Richard;Schroeder, Michael;Park, Jong
    • Proceedings of the Korean Society for Bioinformatics Conference
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    • 2003.10a
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    • pp.26-51
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    • 2003
  • Large scale protein interaction maps provide a new, global perspective with which to analyse protein function. PSIMAP, the Protein Structural Interactome Map, is a database of all the structurally observed interactions between superfamilies of protein domains with known three-dimensional structure in thePDB. PSIMAP incorporates both functional and evolutionary information into a single network. It makes it possible to age protein domains in terms of taxonomic diversity, interaction and function. One consequence of it is to predict the most important protein domain structure in evolution. We present a global analysis of PSIMAP using several distinct network measures relating to centrality, interactivity, fault-tolerance, and taxonomic diversity. We found the following results: ${\bullet}$ Centrality: we show that the center and barycenter of PSIMAP do not coincide, and that the superfamilies forming the barycenter relate to very general functions, while those constituting the center relate to enzymatic activity. ${\bullet}$ Interactivity: we identify the P-loop and immunoglobulin superfamilies as the most highly interactive. We successfully use connectivity and cluster index, which characterise the connectivity of a superfamily's neighbourhood, to discover superfamilies of complex I and II. This is particularly significant as the structure of complex I is not yet solved. ${\bullet}$ Taxonomic diversity: we found that highly interactive superfamilies are in general taxonomically very diverse and are thus amongst the oldest. This led to the prediction of the oldest and most important protein domain in evolution of lift. ${\bullet}$ Fault-tolerance: we found that the network is very robust as for the majority of superfamilies removal from the network will not break up the network. Overall, we can single out the P-loop containing nucleotide triphosphate hydrolases superfamily as it is the most highly connected and has the highest taxonomic diversity. In addition, this superfamily has the highest interaction rank, is the barycenter of the network (it has the shortest average path to every other superfamily in the network), and is an articulation vertex, whose removal will disconnect the network. More generally, we conclude that the graph-theoretic and taxonomic analysis of PSIMAP is an important step towards the understanding of protein function and could be an important tool for tracing the evolution of life at the molecular level.

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An Algorithm for Spot Addressing in Microarray using Regular Grid Structure Searching (균일 격자 구조 탐색을 이용한 마이크로어레이 반점 주소 결정 알고리즘)

  • 진희정;조환규
    • Journal of KIISE:Computer Systems and Theory
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    • v.31 no.9
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    • pp.514-526
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    • 2004
  • Microarray is a new technique for gene expression experiment, which has gained biologist's attention for recent years. This technology enables us to obtain hundreds and thousands of expression of gene or genotype at once using microarray Since it requires manual work to analyze patterns of gene expression, we want to develop an effective and automated tools to analyze microarray image. However it is difficult to analyze DNA chip images automatically due to several problems such as the variation of spot position, the irregularity of spot shape and size, and sample contamination. Especially, one of the most difficult problems in microarray analysis is the block and spot addressing, which is performed by manual or semi automated work in all the commercial tools. In this paper we propose a new algorithm to address the position of spot and block using a new concept of regular structure grid searching. In our algorithm, first we construct maximal I-regular sequences from the set of input points. Secondly we calculate the rotational angle and unit distance. Finally, we construct I-regularity graph by allowing pseudo points and then we compute the spot/block address using this graph. Experiment results showed that our algorithm is highly robust and reliable. Supplement information is available on http://jade.cs.pusan.ac.kr/~autogrid.

Comparing Connectivity in Forest Networks of Seven Metropolitan Cities of South Korea (국내 7대 광역시 산림 연결성 비교 분석)

  • Kang, Wanmo;Kim, Jiwon;Park, Chan-Ryul;Sung, Joo Han
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.16 no.2
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    • pp.93-102
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    • 2014
  • This quantitative research aims to examine the connectivity of forest networks in seven metropolitan cities of South Korea using a graph-theoretical approach. We first estimated an overall network connectivity at multi-scales (i.e., dispersal distances), ranging from 100 m to 20 km, and quantified the contribution of small forest patches (less than 10 ha) to the overall network connectivity by comparing networks according to the presence and absence of small ones. As a result, the cities were divided into two groups depending on the network connectivity; one group of cities with high connectivity such as Daegu, Daejeon, and Ulsan and the other group of cities with low connectivity including Gwangju, Busan, Seoul, and Incheon. The result showed that small forest patches, especially in the cities with low connectivity, played a key role as stepping stones that connect large forested patches, thereby contributing to maintaining connectivity. This study also suggests that large and well-connected forest areas may be the key factor to preserve the connectivity in the cities with high connectivity, while the cites with low connectivity are in need of some complementary strategies. Through the study, we suggest that the creation of new forest patches in the areas where a gap in connectivity presents is needed in order to improve connectivity; and that the conservation of the existing small forest patches is essential in order to maintain the current connectivity level.