• Title/Summary/Keyword: G(E)-function

Search Result 1,016, Processing Time 0.034 seconds

A CORRECTION TO A PAPER ON ROMAN κ-DOMINATION IN GRAPHS

  • Mojdeh, Doost Ali;Moghaddam, Seyed Mehdi Hosseini
    • Bulletin of the Korean Mathematical Society
    • /
    • v.50 no.2
    • /
    • pp.469-473
    • /
    • 2013
  • Let G = (V, E) be a graph and k be a positive integer. A $k$-dominating set of G is a subset $S{\subseteq}V$ such that each vertex in $V{\backslash}S$ has at least $k$ neighbors in S. A Roman $k$-dominating function on G is a function $f$ : V ${\rightarrow}$ {0, 1, 2} such that every vertex ${\upsilon}$ with $f({\upsilon})$ = 0 is adjacent to at least $k$ vertices ${\upsilon}_1$, ${\upsilon}_2$, ${\ldots}$, ${\upsilon}_k$ with $f({\upsilon}_i)$ = 2 for $i$ = 1, 2, ${\ldots}$, $k$. In the paper titled "Roman $k$-domination in graphs" (J. Korean Math. Soc. 46 (2009), no. 6, 1309-1318) K. Kammerling and L. Volkmann showed that for any graph G with $n$ vertices, ${{\gamma}_{kR}}(G)+{{\gamma}_{kR}(\bar{G})}{\geq}$ min $\{2n,4k+1\}$, and the equality holds if and only if $n{\leq}2k$ or $k{\geq}2$ and $n=2k+1$ or $k=1$ and G or $\bar{G}$ has a vertex of degree $n$ - 1 and its complement has a vertex of degree $n$ - 2. In this paper we find a counterexample of Kammerling and Volkmann's result and then give a correction to the result.

Structure and Function of the phnF Gene of Pseudomonas sp. Strain DJ77 (Pseudomonas sp. Strain DJ77에서 phnF 유전자의 구조)

  • 이성훈;김성재;신명수;김치경;임재윤;이기성;민경희;김영창
    • Korean Journal of Microbiology
    • /
    • v.33 no.2
    • /
    • pp.92-96
    • /
    • 1997
  • The 6.8 kb Xhol fragment of chromosomal ONA of Pseudomonas sp. 0177 contains the phnDEFG genes involved in the degradation of polyaromatic hydrocarbons and chlorinated aromatics. Here, we report the nucleotide sequence of the ORF encoding a polypeptide consisted of 143 amino acids with a Mr of 13,859. The nucleotide sequence of the ORF is 99% and 68.6% identical to the downstream region of catE of Sphingomonas sp. strain HV3 and the ORF between xylE and xylG of Sphingomonas yanoikuyae Bl, respectively. The deduced amino acid sequence of the PhnF has 62.3% identity with the amino acid encoded hy orfY region of Citrobacter freundii DSM30040. We now confirm that the ORF is located between the catechol 2,3-dioxygenase (C230), phnE, and 2-hydroxymuconic semialdehyde dehydrogenase (2HMSO), phnG.

  • PDF

The Evaluations of Sensor Models for Push-broom Satellite Sensor

  • Lee, Suk-Kun;Chang, Hoon
    • Korean Journal of Geomatics
    • /
    • v.4 no.1
    • /
    • pp.31-37
    • /
    • 2004
  • The aim of this research is comparing the existing approximation models (e.g. Affine Transformation and Direct Linear Transformation) with Rational Function Model as a substitute of rigorous sensor model of linear array scanner, especially push-broom sensor. To do so, this research investigates the mathematical model of each approximation method. This is followed by the assessments of accuracy of transformation from object space to image space by using simulated data generated by collinearity equations which incorporate or depict the physical aspects of linear array sensor.

  • PDF

Improved Hypophysectomy Technique by Sublaryngeal A, pp.oach and the Efficacy of bGH in Hypophysectomized Female Rats (흰쥐에서 후두하경로를 통한 하수체 적출술의 개량과 하수체 적출 흰쥐를 이용한 bGH 효능시험)

  • 정영채;김창근;이종완;나광빈;김광식;박선애;유영아;이세영
    • Korean Journal of Animal Reproduction
    • /
    • v.21 no.2
    • /
    • pp.197-205
    • /
    • 1997
  • Improved hypophysectomy technique and the efficacy of bGH in hypophysectomized female rats were studied as a basis for the function of endocrine gland and hormones. 1. With improved sublaryngeal a, pp.oach by hypophysectomy, 34 rats out of 40 were successfully hypophysectomized(more than 80% of success). The surgical time for hypophysectomy per rat was taken about 3.0$\pm$1.0 min. 2. For the effect of hypophysectomy and bGH on body weight gain among the 5 gruops of A, B, C, D, and E, the weight gains for A, B, C, D, and E, were 93g, 9.2g, 10.7g, 25.1g and 36.2g, respectively, which implied that hypophysectomy had a major effect on body weight. And also, the effect of bGH was paralleled with the level of bGH. There were significant difference between control and hypophysectomized groups, and between the bGH treated and bGH non-treated groups after hypophysectomy(p<0.01). 3. For the effect of hypophysectomy and bGH on the length of femur, tibia, humerus, and anterbrachi, longest was for A, shortest for B, and longer in order of C, D, and E. The A group was significantly longer than B, C, D, and E groups. The B group was shorter than C, D, and E groups(p<0.01). 4. For the effect of hypophysectomy and bGH on the weight of femur, tibia, humerus, and antebrachi, heaviest was for A, lightest for B, and heavier in order of C, D, and E. The A group was significantly heavier than B, C, D, and E groups. The B group was lighter than C, D, and E groups(p<0.01). 5. In changes of body length, and weights of liver and heart, A group was most drastically increased. Among the hypophysectomized groups, the change was increased in order of B, C, D, and E. Especially, the change of A group was significantly greater than B, C, D and E gruops. However, no significant differences were found among B, C, D, and E groups. 6. The hypophysectomy in rat had a significant effect on body growth. The effect of hormone was remarkably different depending upon the level of hormone. It was found that 300$\mu\textrm{g}$ of bGH/kg of body wt/day was slightly lower for normal growth.

  • PDF

On a weighted hardy-sobolev space functions (I)

  • Kwon, E.G.
    • Communications of the Korean Mathematical Society
    • /
    • v.11 no.2
    • /
    • pp.349-357
    • /
    • 1996
  • Using a special property of Bloch functions with Hardmard gaps and using the geometric properties of the self maps of the unit disc, we give a way of constructing explicit examples of Bloch functions f whose derivative is in $H^p$ (0 < p < 1) but $f \notin BMOA$.

  • PDF

NUMERICAL RESULTS ON ALTERNATING DIRECTION SHOOTING METHOD FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

  • Kim, Do-Hyun
    • The Pure and Applied Mathematics
    • /
    • v.15 no.1
    • /
    • pp.57-72
    • /
    • 2008
  • This paper is concerned with the numerical solutions to steady state nonlinear elliptical partial differential equations (PDE) of the form $u_{xx}+u_{yy}+Du_{x}+Eu_{y}+Fu=G$, where D, E, F are functions of x, y, u, $u_{x}$, and $u_{y}$, and G is a function of x and y. Dirichlet boundary conditions in a rectangular region are considered. We propose alternating direction shooting method for solving such nonlinear PDE. Numerical results show that the alternating direction shooting method performed better than the commonly used linearized iterative method.

  • PDF

On a Certain Integral Operator

  • Porwal, Saurabh;Aouf, Muhammed Kamal
    • Kyungpook Mathematical Journal
    • /
    • v.52 no.1
    • /
    • pp.33-38
    • /
    • 2012
  • The purpose of the present paper is to investigate mapping properties of an integral operator in which we show that the function g defined by $$g(z)=\{\frac{c+{\alpha}}{z^c}{\int}_{o}^{z}t^{c-1}(D^nf)^{\alpha}(t)dt\}^{1/{\alpha}}$$. belongs to the class $S(A,B)$ if $f{\in}S(n,A,B)$.

The Development Plan of Voltage Security On-Line Monitoring System (전압안전성 온라인 감시시스템의 개발방안)

  • Jeon, D.H.;Kweon, S.G.;An, G.W.
    • Proceedings of the KIEE Conference
    • /
    • 1998.07c
    • /
    • pp.1173-1175
    • /
    • 1998
  • This paper presented the development plan of voltage security on-line monitoring system (VSECOMs). VSECOMs consists of voltage security monitoring system and data management system. VSECOMs has the function of bus voltage watch. voltage stability analysis, and voltage security assessment. EMS data on-line acquisition, PSS/E file conversion, and overall data management. VSECOMs is designed with client/server structure. We will seek stable operation of KEPCO's power system by installation of VSECOMs in EMS of KEPCO.

  • PDF

Multi-Hop Clock Synchronization Based on Robust Reference Node Selection for Ship Ad-Hoc Network

  • Su, Xin;Hui, Bing;Chang, KyungHi
    • Journal of Communications and Networks
    • /
    • v.18 no.1
    • /
    • pp.65-74
    • /
    • 2016
  • Ship ad-hoc network (SANET) extends the coverage of the maritime communication among ships with the reduced cost. To fulfill the growing demands of real-time services, the SANET requires an efficient clock time synchronization algorithm which has not been carefully investigated under the ad-hoc maritime environment. This is mainly because the conventional algorithms only suggest to decrease the beacon collision probability that diminishes the clock drift among the units. However, the SANET is a very large-scale network in terms of geographic scope, e.g., with 100 km coverage. The key factor to affect the synchronization performance is the signal propagation delay, which has not being carefully considered in the existing algorithms. Therefore, it requires a robust multi-hop synchronization algorithm to support the communication among hundreds of the ships under the maritime environment. The proposed algorithm has to face and overcome several challenges, i.e., physical clock, e.g., coordinated universal time (UTC)/global positioning system (GPS) unavailable due to the atrocious weather, network link stability, and large propagation delay in the SANET. In this paper, we propose a logical clock synchronization algorithm with multi-hop function for the SANET, namely multi-hop clock synchronization for SANET (MCSS). It works in an ad-hoc manner in case of no UTC/GPS being available, and the multi-hop function makes sure the link stability of the network. For the proposed MCSS, the synchronization time reference nodes (STRNs) are efficiently selected by considering the propagation delay, and the beacon collision can be decreased by the combination of adaptive timing synchronization procedure (ATSP) with the proposed STRN selection procedure. Based on the simulation results, we finalize the multi-hop frame structure of the SANET by considering the clock synchronization, where the physical layer parameters are contrived to meet the requirements of target applications.