• Title/Summary/Keyword: Cellular Decomposition

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CELLULAR EMBEDDINGS OF LINE GRAPHS AND LIFTS

  • Kim, Jin-Hwan
    • Bulletin of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.175-184
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    • 2002
  • A Cellular embedding of a graph G into an orientable surface S can be considered as a cellular decomposition of S into 0-cells, 1-cells and 2-cells and vise versa, in which 0-cells and 1-cells form a graph G and this decomposition of S is called a map in S with underlying graph G. For a map M with underlying graph G, we define a natural rotation on the line graph of the graph G and we introduce the line map for M. we find that genus of the supporting surface of the line map for a map and we give a characterization for the line map to be embedded in the sphere. Moreover we show that the line map for any life of a map M is map-isomorphic to a lift of the line map for M.

A Decomposition Approach for Fixed Channel Assignment Problems in Large-Scale Cellular Networks

  • Jin, Ming-Hui;Wu, Eric Hsiao-Kuang;Horng, Jorng-Tzong
    • Journal of Communications and Networks
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    • v.5 no.1
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    • pp.43-54
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    • 2003
  • Due to insufficient available bandwidth resources and the continuously growing demand for cellular communication services, the channel assignment problem has become increasingly important. To trace the optimal assignment, several heuristic strategies have been proposed. So far, most of them focus on the small-scale systems containing no more than 25 cells and they use an anachronistic cost model, which does not satisfy the requirements ity. Solving the small-scale channel assignment problems could not be applied into existing large scale cellular networks' practice. This article proposes a decomposition approach to solve the fixed channel assignment problem (FCAP) for large-scale cellular networks through partitioning the whole cellular network into several smaller sub-networks and then designing a sequential branch-and-bound algorithm that is made to solve the FCAP for them sequentially. The key issue of partition is to minimize the dependences of the sub-networks so that the proposed heuristics for solving smaller problems will suffer fewer constraints in searching for better assignments. The proposed algorithms perform well based on experimental results and they were applied to the Taiwan Cellular Cooperation (TCC) in ChungLi city to find better assignments for its network.

Minimal Turning Path Planning for Cleaning Robots Employing Flow Networks (Flow Network을 이용한 청소로봇의 최소방향전환 경로계획)

  • Nam Sang-Hyun;Moon Seungbin
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.9
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    • pp.789-794
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    • 2005
  • This paper describes an algorithm for minimal turning complete coverage Path planning for cleaning robots. This algorithm divides the whole cleaning area by cellular decomposition, and then provides the path planning among the cells employing a flow network. It also provides specific path planning inside each cell guaranteeing the minimal turning of the robots. The minimal turning of the robots is directly related to the faster motion and energy saving. The proposed algorithm is compared with previous approaches in simulation and the result shows the validity of the algorithm.

Complete Coverage Path Planning for Multi-Robots (멀티로봇에 대한 전체영역 경로계획)

  • Nam, Sang-Hyun;Shin, Ik-Sang;Kim, Jae-Jun;Lee, Soon-Geul
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.7
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    • pp.73-80
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    • 2009
  • This paper describes a path planning algorithm, which is the minimal turning path based on the shape and size of the cell to clean up the whole area with two cleaning robots. Our method divides the whole cleaning area with each cell by cellular decomposition, and then provides some path plans among of the robots to reduce the rate of energy consumption and cleaning time of it. In addition we suggest how to plan between the robots especially when they are cleaning in the same cell. Finally simulation results demonstrate the effectiveness of the algorithm in an unknown area with multiple robots. And then we compare the performance index of two algorithms such as total of turn, total of time.

Single S-a-E fault tolerance of the triangular cellular permutation networks (삼각형 셀룰러 순열 네트워크에서의 단일 s-a-E 결함 허용)

  • 김우한;전대성;윤영우
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.9
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    • pp.37-48
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    • 1996
  • In this paper, for the single s-a-E fault detected in a triangular cellular permutation network (TCPN), we propose a method which can tolerate a fault by reconfiguring the netowrk and analyze the possibilities of the reconfiguration. The network is set up through iterative decomposition of a permutation into the right or left coset. For the s-a-E fault of a cell which is to be transpositioned for an increasing order mapping, we cna reconfigure it merely by switching te decomposition scheme from right coset to left coset or vice versa. Also for a decreasing order mapping, we make a detour around the faulty cell. Reconfiguring with the redundant connectivity of a TCPN, we could realize form 17% to 90% of the permutation for the number of inputs from 4 to 40. REconfiguration of the network by exchanging the first input with the last input and the first output with the last output resulted in more than 99% realization of the permutation. Also with the exchange of all inputs and outputs with neighboring cells, we could have 100% realization of the permutation.

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Path Planning for Search and Surveillance of Multiple Unmanned Aerial Vehicles (다중 무인 항공기 이용 감시 및 탐색 경로 계획 생성)

  • Sanha Lee;Wonmo Chung;Myunggun Kim;Sang-Pill Lee;Choong-Hee Lee;Shingu Kim;Hungsun Son
    • The Journal of Korea Robotics Society
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    • v.18 no.1
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    • pp.1-9
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    • 2023
  • This paper presents an optimal path planning strategy for aerial searching and surveying of a user-designated area using multiple Unmanned Aerial Vehicles (UAVs). The method is designed to deal with a single unseparated polygonal area, regardless of polygonal convexity. By defining the search area into a set of grids, the algorithm enables UAVs to completely search without leaving unsearched space. The presented strategy consists of two main algorithmic steps: cellular decomposition and path planning stages. The cellular decomposition method divides the area to designate a conflict-free subsearch-space to an individual UAV, while accounting the assigned flight velocity, take-off and landing positions. Then, the path planning strategy forms paths based on every point located in end of each grid row. The first waypoint is chosen as the closest point from the vehicle-starting position, and it recursively updates the nearest endpoint set to generate the shortest path. The path planning policy produces four path candidates by alternating the starting point (left or right edge), and the travel direction (vertical or horizontal). The optimal-selection policy is enforced to maximize the search efficiency, which is time dependent; the policy imposes the total path-length and turning number criteria per candidate. The results demonstrate that the proposed cellular decomposition method improves the search-time efficiency. In addition, the candidate selection enhances the algorithmic efficacy toward further mission time-duration reduction. The method shows robustness against both convex and non-convex shaped search area.

A Distributed Power Allocation Scheme for Base Stations Powered by Retailers with Heterogeneous Renewable Energy Sources

  • Jeon, Seung Hyun;Lee, Joohyung;Choi, Jun Kyun
    • ETRI Journal
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    • v.38 no.4
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    • pp.746-756
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    • 2016
  • Owing to the intermittent power generation of renewable energy sources (RESs), future wireless cellular networks are required to reliably aggregate power from retailers. In this paper, we propose a distributed power allocation (DPA) scheme for base stations (BSs) powered by retailers with heterogeneous RESs in order to deal with the unreliable power supply (UPS) problem. The goal of the proposed DPA scheme is to maximize our well-defined utility, which consists of power satisfaction and unit power costs including added costs as a non-subscriber, based on linear and quadratic cost models. To determine the optimal amount of DPA, we apply dual decomposition, which separates the master problem into sub-problems. Optimal power allocation from each retailer can be obtained by iteratively coordinating between the BSs and retailers. Finally, through a mathematical analysis, we show that the proposed DPA can overcome the UPS for BSs powered from heterogeneous RESs.

Estimating People's Position Using Matrix Decomposition

  • Dao, Thi-Nga;Yoon, Seokhoon
    • International journal of advanced smart convergence
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    • v.8 no.2
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    • pp.39-46
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    • 2019
  • Human mobility estimation plays a key factor in a lot of promising applications including location-based recommendation systems, urban planning, and disease outbreak control. We study the human mobility estimation problem in the case where recent locations of a person-of-interest are unknown. Since matrix decomposition is used to perform latent semantic analysis of multi-dimensional data, we propose a human location estimation algorithm based on matrix factorization to reconstruct the human movement patterns through the use of information of persons with correlated movements. Specifically, the optimization problem which minimizes the difference between the reconstructed and actual movement data is first formulated. Then, the gradient descent algorithm is applied to adjust parameters which contribute to reconstructed mobility data. The experiment results show that the proposed framework can be used for the prediction of human location and achieves higher predictive accuracy than a baseline model.

Foaming Characteristics and Physical Properties of Ethylene Vinyl Acetate Copolymer Foams (Ethylene Vinyl Acetate Copolymer 발포체의 발포특성 및 물리적 특성)

  • Kim, Jin-Tae;Son, Woo-Jung;Ahn, Byung-Hyun;Kim, Won-Ho
    • Elastomers and Composites
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    • v.36 no.1
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    • pp.52-60
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    • 2001
  • Physical properties of foams depend on the density of foams, Physical properties of base polymers, open ceil contents, and cell structures including the size, size distribution, shape of ceil and the thickness of membrane and strut. The density of foam is affected by raw materials, concentration oi crosslinking agent and blowing agent and process parameters such as processing technique and condition. Ethylene vinyl acetate copolymer(EVA) foam is a crosslinked cellular material. The foaming characteristics and physical properties of EVA foam are affected by decomposition rate of blowing agent. In this study, the decomposition rate of blowing agent and crosslinking rate, foaming characteristics and physical properties of foams were evaluated. The slow decomposition rate of blowing agent results in low density foam, good shock absorption property and uniform cell size distribution compared to the high decomposition rate of blowing agent.

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Monoterpenoids Concentration during Decomposition and Their Effect on Polysphondylium violaceum

  • Kim, Jong-Hee;Hwang, Ji-Young;Jo, Gyu-Gap;Kang, Ho-Nam
    • Journal of Ecology and Environment
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    • v.29 no.4
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    • pp.337-342
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    • 2006
  • The total monoterpenoid content of the pine litter layer and the availability of these compounds as inhibitors/stimulators on Polysphondylium violaceum of cellular slime molds were investigated. In order to determine the several monoterpenoids in the natural environment, we examined their concentrations in fresh, senescent, and decaying needles from 3 pine species (Pinus densiflora, P. thunbergii, P. rigida) by litter bag method. Total monoterpenoid content was highest in the fresh needles, but also remained relatively high in senescent needles. The effect of monoterpenoids identified from Pinus plants on the growth of P. violaceum was studied. We tested four concentrations (1, 0.1, 0.01, and $0.001\;{\mu}g/{\mu}L$) of each compound by using a disk volatilization technique. Each compound was treated after germination of spores of P. violaceum. All of the compounds at $1\;{\mu}g/{\mu}L$ concentration had a very strong inhibitory effect on cell growth of P. violaceum. Fenchone at all concentrations, myrcene, verbenone, bornyl acetate, and limonene at low concentrations stimulated the growth of P. violaceum. These results suggest that inhibitory or enhancing effects of selected monoterpenoids depend upon the concentration of the individual compound.