• Title/Summary/Keyword: Planar.

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TOTAL COLORINGS OF PLANAR GRAPHS WITH MAXIMUM DEGREE AT LEAST 7 AND WITHOUT ADJACENT 5-CYCLES

  • Tan, Xiang
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.139-151
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    • 2016
  • A k-total-coloring of a graph G is a coloring of $V{\cup}E$ using k colors such that no two adjacent or incident elements receive the same color. The total chromatic number ${\chi}^{{\prime}{\prime}}(G)$ of G is the smallest integer k such that G has a k-total-coloring. Let G be a planar graph with maximum degree ${\Delta}$. In this paper, it's proved that if ${\Delta}{\geq}7$ and G does not contain adjacent 5-cycles, then the total chromatic number ${\chi}^{{\prime}{\prime}}(G)$ is ${\Delta}+1$.

Analysis of the Snake Motion of a Machine Tool Cross Head Assembly Travelling on Parallel Linear Motion Guides Using a Planar 2-D.O.F. Model (평면 2자유도 모델을 이용한 LMG 상에서 이동되는 Cross Head의 사행동 해석)

  • 최영휴;김성훈;정택수;장은성
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2001.10a
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    • pp.111-116
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    • 2001
  • In this paper, a simple 2 D.O.F. planar motion model is proposed in order to analyze the snake motion of a machining center cross head assembly, that is travelling on linear guide rails. In the proposed mathematical model, the friction between head and guide ways is neglected, and also the support structures including guide rails, rear- and side-panels of the machining center are assumed to be rigid. The equations of motion of the proposed model are derived and successfully solved to determine vibration responses of the head assembly due to some applied traction forces.

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Planar Vibratory Gyroscope using Electrostatic Actuation and Electromagnetic Detection (정전력 구동 및 전자력 검출형 평면 진송 각속도계)

  • 이상훈;임형택;이승기
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.1089-1092
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    • 1995
  • A planar vibratory gyroscope using electrostatic actuation and electromagnetic detection is proposed. The gyroscope has large sensitivity and can be fabricated by using surface micrimachining, bulk micromachining and conventional machining technology. In this paper, the gyroscope and the electromagnetic detecting system equations are derived to determine the output characteristics for the planar vibratory gyroscope using electrostatic acturation and electromagnetic detection. The maximum output is obtained when the driving frequencyequals to the detecting frequency. The resonant frequencies of the resonator are determined by the beam stiffness, i.e. the material constants and spring dimensions. The dimensions of the beams are determined using the analytic vibration modelling. The expected resonant frequencies are 200Hz both and the sensitivity is 62mV/deg/sec with 4000 electronic circuit amplifying coefficient for an AC drive voltage of 3V bias voltage of 15V and DC field current of 50 mA.

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Pressure Distribution Simulation on Geometrical Manifolds Structure for Fabrication of a Planar-type Fuel-Cell Stack (평판형 연료전지 스택의 제조를 위한 매니폴드 형상별 압력분포 시뮬레이션)

  • Park, Se-Joon;Choi, Young-Sung;Lee, Kyung-Sup
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.58 no.4
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    • pp.609-614
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    • 2009
  • A fuel-cell power system among various alternative power sources has many advantages such as comparatively independable circumstances, high-efficient, and heat-recyclable, thus it is now able to be up to hundreds MWh-scaled through improving feasibility and longevity of it. During the last few decades, numerous research results has been investigated to expand interest in fuel-cell technology. This study presents pressure distribution on the geometrical manifold structures, which are U-type and Z-type, of a planar-type fuel-cell stack by simulated with computational fluid dynamics(CFD). Then, electrical performance of a 200W fuel-cell stack, which is U-type, was diagnosed after pre-conditioning operation. The stack has electrical characteristics ; 22V, 10A, 220W, and current density $200mA/cm^2$.

Numerical Study of Planar Diffuser Flows at Very Low Reynolds numbers (저 레이놀즈 수 평판 디퓨져 유동 수치적 연구)

  • Oh Jong-Yun
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2005.11a
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    • pp.110-113
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    • 2005
  • This paper presents flow regime maps of two-dimensional, planar diffusers with constant-area ducts at very low Reynolds numbers. They are obtained from numerical calculations using the commercial CFD program CFD-ACE+. The Reynolds numbers considered are 63, 105, and 210. For each Reynolds number, a wide range of geometric parameters of dimensionless diffuser length, which is a ratio of diffuser length to throat width, $1 and divergence half angle $1^{\circ}<\phi<50^{\circ}$ are selected to obtain steady-state solutions. These maps can be served as a guideline to designers for very low Reynolds number diffuser flows.

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Workspace Optimal Design of Parallel Mechanisms Reflecting the Singularity Locations (특이형상의 위치를 고려한 병렬 기구의 작업공간 최적설계)

  • Kang, Jae-Koo;Kim, Whee-Kuk
    • The Journal of Korea Robotics Society
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    • v.7 no.2
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    • pp.101-112
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    • 2012
  • It is well-known that when singularities are located within the workspace of the parallel mechanism (PM), the usefulness of its workspace is significantly deteriorated. To handle this problem, we suggest an optimal design method which leads to more useful and larger workspace of the PM by taking its singularity locations into consideration in design process. Kinematic models of three selected planar PMs, a 5R type PM, a 3-RPR type planar PM, and a 3-RRR type planar PM, are derived via screw theory and their singularity analyses are conducted. Then workspace optimal designs for those three PMs are conducted to verify that the suggested design method leads more useful and larger workspace in which deterioration by singularity is minimal.

Structure and Properties of Rapidly-Solidified Al-Pb Monotectic Alloys.;I. Characteristics of Rapidly-Solidified Microstructure (급속 응고한 Al-Pb 편정 합금의 조직과 성질;I. 급속 응고 조직 특성)

  • Kim, Myung-Ho;Bae, Cha-Hurn;Lee, Ho-In
    • Journal of Korea Foundry Society
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    • v.9 no.1
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    • pp.73-79
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    • 1989
  • Microstructural characteristics of Al-3.63wt.%Pb hyper-monotectic alloy rapidly-solidified by melt spinning were examined. Possibility of forming a planar liquid -solid interface during rapid solidification of this alloy was also considered with a morphological stability theory, and a mechanism of forming banded structure observed at the bottom parts of melt-spinned specimens was considered as well. Application of the absolute stability criterion predicts the liquid-solid interface of the primary aluminium phase to be able to maintain a planar interface during the early stage of rapid solidification. Formation of banded structure was supposed to be resulted from the release of latent heat during solidification, which affect the stability of a planar liquid-solid interface.

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FINITE GROUPS WHOSE INTERSECTION GRAPHS ARE PLANAR

  • Kayacan, Selcuk;Yaraneri, Ergun
    • Journal of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.81-96
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    • 2015
  • The intersection graph of a group G is an undirected graph without loops and multiple edges defined as follows: the vertex set is the set of all proper non-trivial subgroups of G, and there is an edge between two distinct vertices H and K if and only if $H{\cap}K{\neq}1$ where 1 denotes the trivial subgroup of G. In this paper we characterize all finite groups whose intersection graphs are planar. Our methods are elementary. Among the graphs similar to the intersection graphs, we may count the subgroup lattice and the subgroup graph of a group, each of whose planarity was already considered before in [2, 10, 11, 12].

A SUFFICIENT CONDITION FOR ACYCLIC 5-CHOOSABILITY OF PLANAR GRAPHS WITHOUT 5-CYCLES

  • Sun, Lin
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.415-430
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    • 2018
  • A proper vertex coloring of a graph G is acyclic if G contains no bicolored cycle. A graph G is acyclically L-list colorable if for a given list assignment $L=\{L(v):v{\in}V(G)\}$, there exists an acyclic coloring ${\phi}$ of G such that ${\phi}(v){\in}L(v)$ for all $v{\in}V(G)$ A graph G is acyclically k-choosable if G is acyclically L-list colorable for any list assignment with $L(v){\geq}k$ for all $v{\in}V(G)$. Let G be a planar graph without 5-cycles and adjacent 4-cycles. In this article, we prove that G is acyclically 5-choosable if every vertex v in G is incident with at most one i-cycle, $i {\in}\{6,7\}$.

Dual Action of d-Tubocurarine on Large-Conductance $Ca^{2+}-activated$ $K^+$ Channels from Rat Brain Reconstituted into Planar Lipid Bilayer

  • Chung, Sung-Kwon;Shin, Jung-Hoon
    • The Korean Journal of Physiology and Pharmacology
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    • v.2 no.5
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    • pp.549-553
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    • 1998
  • Using the planar lipid bilayer method, we investigated the effect of d-tubocurarine (dTC) on the extracellular side of large-conductance $Ca^{2+}-activated\;K^+$ channel from rat brain. When the initial open probability (Po) of the channel was relatively high, dTC decreased channel activity in a concentration dependent manner. In contrast, when the initial Po was lower, sub-micro molar dTC increased channel activity by destabilizing the closed states of the channel. Further addition of dTC up to micro molar range decreased channel activity. This dual effect of dTC implicates that there exist at least two different binding sites for dTC.

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