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Signed degree sequences in signed 3-partite graphs

  • Pirzada, S.;Dar, F.A.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제11권2호
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    • pp.9-14
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    • 2007
  • A signed 3-partite graph is a 3-partite graph in which each edge is assigned a positive or a negative sign. Let G(U, V, W) be a signed 3-partite graph with $U\;=\;\{u_1,\;u_2,\;{\cdots},\;u_p\},\;V\;=\;\{v_1,\;v_2,\;{\cdots},\;v_q\}\;and\;W\;=\;\{w_1,\;w_2,\;{\cdots},\;w_r\}$. Then, signed degree of $u_i(v_j\;and\;w_k)$ is $sdeg(u_i)\;=\;d_i\;=\;d^+_i\;-\;d^-_i,\;1\;{\leq}\;i\;{\leq}\;p\;(sdeg(v_j)\;=\;e_j\;=\;e^+_j\;-\;e^-_j,\;1\;{\leq}\;j\;{\leq}q$ and $sdeg(w_k)\;=\;f_k\;=\;f^+_k\;-\;f^-_k,\;1\;{\leq}\;k\;{\leq}\;r)$ where $d^+_i(e^+_j\;and\;f^+_k)$ is the number of positive edges incident with $u_i(v_j\;and\;w_k)$ and $d^-_i(e^-_j\;and\;f^-_k)$ is the number of negative edges incident with $u_i(v_j\;and\;w_k)$. The sequences ${\alpha}\;=\;[d_1,\;d_2,\;{\cdots},\;d_p],\;{\beta}\;=\;[e_1,\;e_2,\;{\cdots},\;e_q]$ and ${\gamma}\;=\;[f_1,\;f_2,\;{\cdots},\;f_r]$ are called the signed degree sequences of G(U, V, W). In this paper, we characterize the signed degree sequences of signed 3-partite graphs.

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u-City서비스.기술.기반시설의 연계성 확보방안 (Study on the Relationship Establishment among u-City Service, Technology and Infrastructure)

  • 조춘만;김정훈
    • Spatial Information Research
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    • 제17권3호
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    • pp.287-299
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    • 2009
  • U-City의 계획, 건설 및 개발 후 운영 관리를 지원하기 위한 "유비쿼터스도시의건설등에관한법률(이하 u-City 법) 이 제정 공포되었다(2008.3.28). 본 법률을 근거로 한 국가주도 u-City도입의 궁극적 목표는 이미 선진국 궤도에 근접한 우리나라의 IT, 공간정보인프라를 적극 활용한 도시공간 이용 및 관리의 첨단화에 있다고 하겠다. 법에 의한 u-City의 정의는 물리적 도시기반시설에 u-City기술을 적용하여 u-City기반시설 화하고 이를 통해 다양한 u-City서비스를 제공하는 도시로 규정되어 있다. 그러나 현 법규정의 가장 핵심개념에 해당하는 u-City서비스, 기술 및 기반시설과 이들의 상호관계의 상세 정도로는 각 지자체의 특성과 역량에 맞는 도시기반시설지능화 및 이를 통한 u-City서비스 제공 등의 가이드 효과를 충분히 기대하기 어려운 실정이다. 따라서 본 연구의 목적은 안정적이고 만족도 높은 u-City서비스의 계획, 구축 및 운영관리를 위한 법제도 정비의 핵심사안의 하나로서 서비스-기술-기반시설간 상호관계 정립의 기본방향 및 추진전략을 제시하는데 있다.

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감염병의 대유행에 있어서 의약품 부족 시 의약품 제공기준에 관한 헌법적 정당성 (Verfassungsrechtliche Rechtfertigung f$\ddot{u}$r Die Kriterien bei Verteilung Knapper Medizinischer G$\ddot{u}$ter in Pandemie)

  • 정문식
    • 의료법학
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    • 제13권1호
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    • pp.155-197
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    • 2012
  • Nach der sog. Neue Influenza(Schweinegrippe)-Pandemie wird die Verh$\ddot{u}$tung und Bek$\ddot{a}$mpfung von Infektionskrankheiten eine essentielle Aufgabe f$\ddot{u}$r das Gemeinwesen und stellt eine komplexe Herausforderung f$\ddot{u}$r die Rechtsordnung dar. Die n$\ddot{a}$chste Pandemie ist nicht mehr eine Frage der Ob, sondern lediglich der Zeit. Zwar ist der jetzige Influenza-Pandemie Plan und der koreanische Infektionsschutzgesetz (ISchG) nicht verfassungswidrig, weil mit ihnen die Untergrenzen des Gestaltungspielraums von Gesetzgeber nicht unterschreitet und damit die grundrechtliche Schutzpflicht von Staat nicht verletzt ist. Jedoch ist aber gesetzlicher Erg$\ddot{a}$nzung bed$\ddot{u}$rftig, denn es gibt keine konkrete Regelungen, die in einer Verknappungssituation von medizinischen G$\ddot{u}$tern bei Pandemien anwendbar sind. W$\ddot{u}$rde die Knappheit von Impfstoff nicht vermeiden, dann d$\ddot{u}$rfte dar$\ddot{u}$ber entschieden werden, wem die Ressourcen in der Verwendungskonkurrenzen bevorzugt zugeteilt werden sollen. In Knappheitssituationen ist zuerst die Frage der Verteilung medizinischer G$\ddot{u}$tern von so wesentlicher Bedeutung, dass sie von Verfassungs wegen durch das Parlament zu regeln ist. Zweitens kann die Verteilung knapper medizinischer Ressourcen auf Maximierung der Uberlebendenzahl als Menschenw$\ddot{u}$rdegrundsatz und Lebensschutzpflichten vom Staat gerichtet sein. Drittens d$\ddot{u}$rfen die in Art.11 KVerf genannte Kriteien, wie Geschlecht oder Religion, weil sie als Ungleichbehandlungskriterium im koreanischen Verfassungstext verboten sind, nicht zur Verteilung und Zuteilung herangezogen werden. Nicht zuletzt darf und muss der Gesetzgeber dar$\ddot{u}$ber regeln, wer in welchem Verfahren behandelt bzw. gesch$\ddot{u}$tzt werden soll.

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장석순(張錫純)의 학술사상에 관한 연구 (A Study of the Academic Perspective of Chang Seok Sun)

  • 우호;박현국
    • 동국한의학연구소논문집
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    • 제7권1호
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    • pp.1-32
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    • 1998
  • 청말 중서의회통파인 장석순의 의학사상을 "의학충중참서록"를 중심으로 정리하였다. 고전을 철처히 이해하여 동양의학의 이론을 바탕으로 서양의학을 접목시켜 장점을 취하고 단점을 보완하려고 노력하였다. 그의 의학적인 이론으로는 대기론, 기화론, 간병론, 화어법 등이 있고, 상한론과 온병학의 통합을 주장하고 내과병증에 다양한 방법을 제시하였다.

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산업 특성을 통한 U-City산업 발전 정책 방향성에 대한 연구 -서울특별시 사례를 중심으로- (A Study on Strategy Direction for Promoting the U-City Industry Through its Characteristics)

  • 임시영;신동빈;안종욱;이미숙
    • 대한공간정보학회지
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    • 제19권1호
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    • pp.37-43
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    • 2011
  • 본 연구에서는 서울특별시 사례를 중심으로 U-City산업을 정의 및 분류하고 이를 바탕으로 산업연관분석을 수행하여 U-City산업의 특성을 파악하였다. U-City산업은 전방연쇄효과가 매우 큰 산업으로 인프라적 특성이 강한 것으로 분석되었으며 이러한 관점에서 우선적으로 육성될 필요가 있는 산업임을 확인하였다. 이 결과를 기반으로 현 시점에서 U-City산업의 육성을 위해 기존 공공의 역할을 유지하면서 시장을 확대할 수 있도록 '기존 사업을 통해 부각된 문제의 해결, 민간과 공공의 역할 구분, 민간참여 확대를 위한 지원방안 마련'을 정책적 방향으로 제시하였다.

U-City에 있어서 온톨로지 기반 U-서비스 설계 (A Design of Ontology-driven U-Service in U-City)

  • 권창희
    • 디지털융복합연구
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    • 제10권7호
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    • pp.179-184
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    • 2012
  • 도시의 궁극적인 목적은 '도시의 삶의 질 향상'이다. 이를 이루기 위하여 지역사회 합의,평가와 지역공동체의 비젼과 목표의 공유는 물론 지역 및 커뮤니티의 컨텐츠 생산 및 유통 소비의 최적화가 요구된다. U-City에서 서비스의 내용인 콘텐츠의 공유에 대한 요구와 필요성이 증가하고 있다. 온톨로지는 공유를 전제로 의미적 관계를 설정하기 위한 도구로서 이러한 변화에 대응하는 온톨로지 기반 U-Service 모델 설계가 필요하다. 본 연구는 유비쿼터스 환경에서 온톨로지 위치기반 콘텐츠를 최대한 표현할 수 있도록 하는 지도의 생성 및 서비스 구현의 가능성을 밝혀보았다.

효과적인 재원조달을 통한 구도시 u-City 구축사례연구 (A Case Study on the Successful Old-Town u-City Construction by an Effective Financing)

  • 박광호;김명동;김윤형
    • 산업경영시스템학회지
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    • 제35권3호
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    • pp.192-203
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    • 2012
  • As a leading nation of ubiquitous technology, South Korea has been promoting u-City pilot projects throughout the country. According to 'Fundamental Construction Law of u-City,' u-City projects are classified into old-town and new-town types. However, most projects have focused only on the new-town type. Pushing forward large-scale land development projects, Korea Land and Housing Corporation (LH Co.) under Ministry of Land Transport and Maritime Affairs (MLTM) has gained a development profit out of the u-City infrastructure and then donated the infrastructure to a local government without making any plan for operations. In the process of u-City pilot projects, old-towns have been relatively ignored and various of unexpected problems have emerged. Building the u-City of an old-town is not easy due to many constraints such as huge initial investment, long validity and verification procedures, lack of useful services for citizens, lack of professional outsourcing methods for business promotion, high operating costs of the integrated control center, inadequate law related, insufficient institutional requirements and so on. This paper introduces a case study on u-City development for an old-town, Ansan City, as a private investment project. The case will help boost u-City projects for old-towns by solving their problems and providing an effective operational mechanism. As the first BTL (Build-Transfer-Lease) project for constructing u-City, 'Broadband Information Network Development Project' of Ansan City will provide a reference model of expanding u-City projects for other cities.

Investigation of the U-shape submerged breakwater performance by the finite-different scheme

  • Barzegar, Mohammad
    • Ocean Systems Engineering
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    • 제11권1호
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    • pp.83-97
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    • 2021
  • The submerged U-shape breakwater interaction with the solitary wave is simulated by the Boussinesq equations using the finite-difference scheme. The wave reflection, transmission, and dissipation (RTD) coefficients are used to investigate the U-shape breakwater's performance for different crest width, Lc1, and indent breakwater height, du. The results show that the submerged breakwater performance for a set of U-shape breakwater with the same cross-section area is related to the length of submerged breakwater crest, Lc1, and the distance between the crests, Lc2 (or the height of du). The breakwater has the maximum performance when the crest length is larger, and at the same time, the distance between them increases. Changing the Lc1 and du of the U-shape breakwaters result in a significant change in the RTD coefficients. Comparison of the U-shape breakwater, having the best performance, with the averaged RTD values shows that the transmission coefficients, Kt, has a better performance of up to 4% in comparison to other breakwaters. Also, the reflection coefficients KR and the diffusion coefficients, Kd shows a better performance of about 30% and 55% on average, respectively. However, the model governing equations are non-dissipative. The non-energy conserving of the transmission and reflection coefficients due to wave and breakwater interaction results in dissipation type contribution. The U-shape breakwater with the best performance is compared with the rectangular breakwater with the same cross-section area to investigate the economic advantages of the U-shape breakwater. The transmission coefficients, Kt, of the U-shape breakwater shows a better performance of 5% higher than the rectangular one. The reflection coefficient, KR, is 60% lower for U-shape in comparison to rectangular one; however, the diffusion coefficients, Kd, of U-shape breakwater is 35% higher than the rectangular breakwater. Therefore, we could say that the U-shape breakwater has a better performance than the rectangular one.

Analysis and Approximation of Linear feedback control problems for the Boussinesq equations

  • 최영미;이형천
    • 한국전산응용수학회:학술대회논문집
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    • 한국전산응용수학회 2003년도 KSCAM 학술발표회 프로그램 및 초록집
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    • pp.6-6
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    • 2003
  • In this work we consider the mathematical formulation and numerical resolution of the linear feedback control problem for Boussinesq equations. The controlled Boussinesq equations is given by $$\frac{{\partial}u}{{\partial}t}-{\nu}{\Delta}u+(u{\cdot}{\nabla}u+{\nabla}p={\beta}{\theta}g+f+F\;\;in\;(0,\;T){\times}\;{\Omega}$$, $${\nabla}{\cdot}u=0\;\;in\;(0,\;T){\times}{\Omega}$$, $$u|_{{\partial}{\Omega}=0,\;u(0,x)=\;u_0(x)$$ $$\frac{{\partial}{\theta}}{{\partial}t}-k{\Delta}{\theta}+(u{\cdot}){\theta}={\tau}+T,\;\;in(0,\;T){\times}{\Omega}$$ $${\theta}|_{{\partial}{\Omega}=0,\;\;{\theta}(0,X)={\theta}_0(X)$$, where $\Omega$ is a bounded open set in $R^{n}$, n=2 or 3 with a $C^{\infty}$ boundary ${\partial}{\Omega}$. The control is achieved by means of a linear feedback law relating the body forces to the velocity and temperature field, i.e., $$f=-{\gamma}_1(u-U),\;\;{\tau}=-{\gamma}_2({\theta}-{\Theta}}$$ where (U,$\Theta$) are target velocity and temperature. We show that the unsteady solutions to Boussinesq equations are stabilizable by internal controllers with exponential decaying property. In order to compute (approximations to) solution, semi discrete-in-time and full space-time discrete approximations are also studied. We prove that the difference between the solution of the discrete problem and the target solution decay to zero exponentially for sufficiently small time step.

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REGULARITY OF NONLINEAR VECTOR VALUED VARIATIONAL INEQUALITIES

  • Kim, Do-Wan
    • 대한수학회지
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    • 제37권4호
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    • pp.565-577
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    • 2000
  • We consider regularity questions arising in the degenerate elliptic vector valued variational inequalities -div(|▽u|p-2∇u)$\geq$b(x, u, ∇u) with p$\in$(1, $\infty$). It is a generalization of the scalar valued inequalities, i.e., the obstacle problem. We obtain the C1,$\alpha$loc regularity for the solution u under a controllable growth condition of b(x, u, ∇u).

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