• Title/Summary/Keyword: dominating function

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ON MINUS TOTAL DOMINATION OF DIRECTED GRAPHS

  • Li, WenSheng;Xing, Huaming;Sohn, Moo Young
    • Communications of the Korean Mathematical Society
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    • v.29 no.2
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    • pp.359-366
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    • 2014
  • A three-valued function f defined on the vertices of a digraph D = (V, A), $f:V{\rightarrow}\{-1,0,+1\}$ is a minus total dominating function(MTDF) if $f(N^-(v)){\geq}1$ for each vertex $v{\in}V$. The minus total domination number of a digraph D equals the minimum weight of an MTDF of D. In this paper, we discuss some properties of the minus total domination number and obtain a few lower bounds of the minus total domination number on a digraph D.

Strong Roman Domination in Grid Graphs

  • Chen, Xue-Gang;Sohn, Moo Young
    • Kyungpook Mathematical Journal
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    • v.59 no.3
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    • pp.515-523
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    • 2019
  • Consider a graph G of order n and maximum degree ${\Delta}$. Let $f:V(G){\rightarrow}\{0,1,{\cdots},{\lceil}{\frac{{\Delta}}{2}}{\rceil}+1\}$ be a function that labels the vertices of G. Let $B_0=\{v{\in}V(G):f(v)=0\}$. The function f is a strong Roman dominating function for G if every $v{\in}B_0$ has a neighbor w such that $f(w){\geq}1+{\lceil}{\frac{1}{2}}{\mid}N(w){\cap}B_0{\mid}{\rceil}$. In this paper, we study the bounds on strong Roman domination numbers of the Cartesian product $P_m{\square}P_k$ of paths $P_m$ and paths $P_k$. We compute the exact values for the strong Roman domination number of the Cartesian product $P_2{\square}P_k$ and $P_3{\square}P_k$. We also show that the strong Roman domination number of the Cartesian product $P_4{\square}P_k$ is between ${\lceil}{\frac{1}{3}}(8k-{\lfloor}{\frac{k}{8}}{\rfloor}+1){\rceil}$ and ${\lceil}{\frac{8k}{3}}{\rceil}$ for $k{\geq}8$, and that both bounds are sharp bounds.

An Effect of the Personality Types on the Preference of the Conflicts Handling Styles (성격유형이 갈등관리유형 선호에 미치는 영향에 관한 연구)

  • Chung, Bhum-Suk;Yang, Gi-Dong
    • Management & Information Systems Review
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    • v.24
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    • pp.125-154
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    • 2008
  • The purpose of this study is to analyze how the organizational structure, task group functioning and need styles have influence on the conflicts handling styles such as integrating, avoiding, dominating, obliging and compromising as the employee's personality engaged in the service industry. This study uses the hierarchical regression analysis method. Data were collected by the survey method from employees engaged in the service industry located Seoul, the Province of Gyeonggi, and the Province of Gangwon. The study result shows that to the employees with the type A style, need styles are significantly related to the conflicts handling styles such as avoiding. But to the employees with the type B style, need styles are significantly related to the conflicts handling styles such as integrating and avoiding. On the other hand the result shows that the higher the need for achievement and the lower the need for autonomy, employees with the type B style prefer integrating styles to other conflicts handling styles. Or the higher the need for dominance, employees with the type B style prefer dominating styles to other conflicts handling styles. And the higher the need for dominance, employees with the type A style prefer dominating styles to other conflicts handling styles. The study result shows that to the employees with the type A and type X style, task group functioning are significantly related to the conflicts handling styles such as obliging and compromising. But to the employees with the type B style, task group functioning are significantly related to the conflicts handling styles such as obliging and dominating. On the other hand the result shows that the lower faith in peers and management and the higher confidence in peers and management, employees with the type B style prefer obliging style to other conflicts handling styles. But the higher group homogeneity and group cohesiveness, the lower faith in peers and management and the higher confidence in peers and management, employees with the type X style prefer obliging style to other conflicts handling styles. And the higher confidence in peers and management, employees with the type A style prefer compromising style to other conflicts handling styles. The study result shows that to the employees with the type A, organizational structure functioning are significantly related to the conflicts handling styles such as avoiding, obliging and compromising. But to the employees with the type X style, organizational structure functioning are significantly related to the conflicts handling styles such as dominating. On the other hand the result shows that the higher role conflict, the lower role ambiguity and the higher communication system, employees with the type A style prefer avoiding style to other conflicts handling styles. But the lower role ambiguity, employees with the type X style prefer compromising style to other conflicts handling styles. To conclude from these results, employees with the type A style have influence on the organizational structure functioning to other factors on the preference of the conflicts handling styles. And employees with the type B style have influence on the needs styles to other factors on the preference of the conflicts handling styles. Or employees with the type X style have influence on the task group functioning to other factors on the preference of the conflicts handling styles. Although this study provides several managerial implications, this study has some limitations. Specifically data were collected from only the service industry in Seoul, the Province of Gyeonggi, and the Province of Gangwon. In spite of the limitations, the study results could be used valuably in case of the personnel managers which manage the employees under the conflict situations.

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The numerical analysis of gas blast arcs for 800kV GCB (800kV 가스차단기의 아크특성 해석)

  • Chulkov, V.V.;Shin, Y.J.;Park, K.Y.;Song, K.D.;Choi, Y.K.
    • Proceedings of the KIEE Conference
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    • 1995.07c
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    • pp.1287-1289
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    • 1995
  • For the analysis of hot gas flow due to arc in puffer type $SF_6$ gas circuit breakers(GCBs), a program has been developed by adding function for arcing to the Fluid-in Cells(FLIC) method, which is often used for a two dimensional compressible flow problems, utilizing a simplified enthalpy flow arc model available for arcing. In this paper, the results of arc modelling for 800kV GCB are presented and compared with that of cold gas flow in the interrupters. It is shown that the nozzle clogging is the dominating factor in the pressure rise of the puffer chamber. It permits to estimate the dielectric strength of interrupters.

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Nonlinear deflection responses of layered composite structure using uncertain fuzzified elastic properties

  • Patle, B.K.;Hirwani, Chetan K.;Panda, Subrata Kumar;Katariya, Pankaj V.;Dewangan, Hukum Chand;Sharma, Nitin
    • Steel and Composite Structures
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    • v.35 no.6
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    • pp.753-763
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    • 2020
  • In this article, the influence of fuzzified uncertain composite elastic properties on non-linear deformation behaviour of the composite structure is investigated under external mechanical loadings (uniform and sinusoidal distributed loading) including the different end boundaries. In this regard, the composite model has been derived considering the fuzzified elastic properties (through a triangular fuzzy function, α cut) and the large geometrical distortion (Green-Lagrange strain) in the framework of the higher-order mid-plane kinematics. The results are obtained using the fuzzified nonlinear finite element model via in-house developed computer code (MATLAB). Initially, the model accuracy has been established and explored later to show the dominating elastic parameter affect the deflection due to the inclusion of fuzzified properties by solving a set of new numerical examples.

Elderly response to alteration of existing house function in housing improvement area (주거지 재생지역의 기존주택 기능전환에 대한 노인의 반응연구)

  • Lim, Soo-Hyun;Lee, Yeun-Sook
    • KIEAE Journal
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    • v.10 no.2
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    • pp.9-18
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    • 2010
  • As an aging population has increased vastly and nuclear families have been a dominating family type in modern Korean society, the numbers of the elderly who suffer Empty Nest Syndrome and LID (Loss Isolation Depression) syndrome have been accelerated. These syndromes involve psychological instability, melancholy, and lethargy. To make the elderly get out of this phenomenon and live actively, the scheme of converting their existing house into shared housing was set as a hypothetical solution in this study. This study sets out to find out responses of the elderly to alter their own house's function in housing improvement area. A Small Workshop Panel method was used and the elderly aged 55 years upwards took part and they own a detached house in a housing improvement area that is relatively large for the elderly or the elderly couple to live alone. Through the workshop, problems that the elderly have been experiencing within their houses were looked into and responses of the elderly on altering their house to shared housing by introducing developed schematic plans. Although, the first response was negative, positive responses from the house owners were carried out when a visual support i.e. developed shared housing plan was provided. The positive response was based on the fact that subsidies from the government on house renovation and tenants matching programs are supported as shared housing could provide home owners economical support with rents and help them to feel less lonely. This is a way of relieving the elderly from being neglected and supporting them to live and age actively in their later lives. Furthermore, by providing a visual media to the elder residents in housing improvement area, their greater understandings on the development and addressing their opinions were possible. Therefore, more tools that promote elder residents' participation are needed for future housing improvement projects and an aging society.

Electromagnetic Model to Estimate the Vibrations of a Switched Reluctance Machine on the Basis of the Eelctric Power Supply

  • Badreddine, Benabdallah Mohammed
    • Journal of Electrical Engineering and Technology
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    • v.3 no.1
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    • pp.60-67
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    • 2008
  • The vibrations and noise origin in electric material is due to several coupled physical phenomena. The revolving electric machine complete modeling is complex; it does not allow simple parametric machine structure studies for various operation modes. This work presents a simple electromagnetic model which makes possible the machine principal parts flow estimation from flux density. Special interest is given in determining Switched Reluctance Machine (S.R.M) radial acceleration in accordance with the current supply. Our focus will be only on the magnetic origin efforts that are dominating in the S.R.M. The efforts calculation versus the current is presented in the case of a machine with a linearized rate. These efforts are considered as a tangential force producing the torque and a radial force that generates no torque. The application is realized on a 6/4 low power S.R.M type (6 stator teeth and 4 teeth rotor). The mechanical response is substituted in a transfer function. The model takes account of the power supply of the machine, the relation between the current supply and the efforts as well as the vibratory response of the machine to these efforts. Finally, the model is validated by comparison with similar experimental results within the framework of the definite assumptions.

Correlation between torsional vibration and translational vibration

  • Jeng, V.;Tsai, Y.L.
    • Structural Engineering and Mechanics
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    • v.13 no.6
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    • pp.671-694
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    • 2002
  • This paper presents theoretical investigation on the cross correlation between torsional vibration ($u_{\theta}$) and translation vibration ($u_x$) of asymmetrical structure under white noise excitation. The formula reveals that the cross correlation coefficient (${\rho}$) is a function of uncoupled frequency ratio (${\Omega}={\omega}_{\theta}/{\omega}_x$), eccentricity, and damping ratio (${\xi}$). Simulations involving acceleration records from fifteen different earthquakes show correlation coefficients results similar to the theoretical correlation coefficients. The uncoupled frequency ratio is the dominating parameter to ${\rho}$; generally, ${\rho}$ is positive for ${\omega}_{\theta}/{\omega}_x$ > 1.0, negative for ${\omega}_{\theta}/{\omega}_x$ < 1.0, and close to zero for ${\omega}_{\theta}/{\omega}_x$ = 1.0. When the eccentricity or damping ratio increases, ${\rho}$ increases moderately for small ${\Omega}$ (< 1.0) only. The relation among $u_x$, $u_{\theta}$ and corner displacement are best presented by ${\rho}$; a simple way to hand-calculate the theoretical dynamic corner displacements from $u_x$, $u_{\theta}$ and ${\rho}$ is proposed as an alternative to dynamic analysis.

A Study on Pleat Expression Shown in Greek Sculpture (그리스 조각에 나타난 주름 표현에 관한 연구)

  • Lee, Eui-Jung;Kang, Kyung-Ae
    • Journal of the Korea Fashion and Costume Design Association
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    • v.15 no.4
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    • pp.157-173
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    • 2013
  • In the pleats of the statue in the ancient Greece, a vivid expression is included about clothing, which has organic relationship with a human body. This study examined about diverse expressions of pleats that were shown in the Greek sculpture, based on understanding about a pleat meaning and function, and clothes. As a result, the clothes, which were shown in the statue in the ancient Greece, were reflecting spirit and fashion of the times. The pleats, which were expressed in clothing, are closely related to a human body and simultaneously are those that a sculptor showed own creative intention in a work by reflecting a historical demand, thereby having become an important element of dominating the image in the whole clothing. Also, a change and development in expression were being progressed according to a flow of each period. Amidst what expressiveness based on lines are excellent, the unity and the dynamic formative characteristic were forming the mainstream. The design-based elements related to these characteristics are judged to possibly give many inspirations to designers in the modern fashion design sphere, which is mixed diverse styles, and are considered to be able to be helpful even for establishing newer and more creative design.

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Balancedness of generalized fractional domination games (일반화된 분수 지배게임에 대한 균형성)

  • Kim, Hye-Kyung;Park, Jun-Pyo
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.1
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    • pp.49-55
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    • 2009
  • A cooperative game often arises from domination problem on graphs and the core in a cooperative game could be the optimal solution of a linear programming of a given game. In this paper, we define a {k}-fractional domination game which is a specific type of fractional domination games and find the core of a {k}-fractional domination game. Moreover, we may investigate the balancedness of a {k}-fractional domination game using a concept of a linear programming and duality. We also conjecture the concavity for {k}-fractional dominations game which is important problem to find the elements of the core.

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