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ON PAIR MEAN CORDIAL GRAPHS

  • R. PONRAJ;S. PRABHU
    • Journal of Applied and Pure Mathematics
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    • v.5 no.3_4
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    • pp.237-253
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    • 2023
  • Let a graph G = (V, E) be a (p, q) graph. Define $${\rho}=\{\array{{\frac{p}{2}} & \;\;p\text{ is even} \\ {\frac{p-1}{2}} & \;\;p\text{ is odd,}$$ and M = {±1, ±2, … ± ρ} called the set of labels. Consider a mapping λ : V → M by assigning different labels in M to the different elements of V when p is even and different labels in M to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd. The labeling as defined above is said to be a pair mean cordial labeling if for each edge uv of G, there exists a labeling ${\frac{{\lambda}(u)+{\lambda}(v)}{2}}$ if λ(u) + λ(v) is even and ${\frac{{\lambda}(u)+{\lambda}(v)+1}{2}}$ if λ(u) + λ(v) is odd such that ${\mid}{\bar{{\mathbb{S}}}}_{\lambda}{_1}-{\bar{{\mathbb{S}}}}_{{\lambda}^c_1}{\mid}{\leq}1$ where ${\bar{{\mathbb{S}}}}_{\lambda}{_1}$ and ${\bar{{\mathbb{S}}}}_{{\lambda}^c_1}$ respectively denote the number of edges labeled with 1 and the number of edges not labeled with 1. A graph G for which there exists a pair mean cordial labeling is called a pair mean cordial graph. In this paper, we investigate the pair mean cordial labeling behavior of few graphs including the closed helm graph, web graph, jewel graph, sunflower graph, flower graph, tadpole graph, dumbbell graph, umbrella graph, butterfly graph, jelly fish, triangular book graph, quadrilateral book graph.

PAIR MEAN CORDIAL LABELING OF SOME UNION OF GRAPHS

  • R. PONRAJ;S. PRABHU
    • Journal of Applied and Pure Mathematics
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    • v.6 no.1_2
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    • pp.55-69
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    • 2024
  • Let a graph G = (V, E) be a (p, q) graph. Define $${\rho}=\{\array{{\frac{p}{2}} && p\;\text{is even} \\ {\frac{p-1}{2}} && p\;\text{is odd,}}$$ and M = {±1, ±2, … ± 𝜌} called the set of labels. Consider a mapping λ : V → M by assigning different labels in M to the different elements of V when p is even and different labels in M to p - 1 elements of V and repeating a label for the remaining one vertex when p is odd. The labeling as defined above is said to be a pair mean cordial labeling if for each edge uv of G, there exists a labeling $\frac{{\lambda}(u)+{\lambda}(v)}{2}$ if λ(u) + λ(v) is even and $\frac{{\lambda}(u)+{\lambda}(v)+1}{2}$ if λ(u) + λ(v) is odd such that ${\mid}\bar{\mathbb{s}}_{{\lambda}_1}-\bar{\mathbb{s}}_{{\lambda}^c_1}{\mid}\,{\leq}\,1$ where $\bar{\mathbb{s}}_{{\lambda}_1}$ and $\bar{\mathbb{s}}_{{\lambda}^c_1}$ respectively denote the number of edges labeled with 1 and the number of edges not labeled with 1. A graph G with a pair mean cordial labeling is called a pair mean cordial graph. In this paper, we investigate the pair mean cordial labeling behavior of some union of graphs.

Characteristics of Photovoltaic I-V and P-V According to the Irradiation and Module Temperature (태양광 시스템의 일사량과 모듈온도에 따른 I-V 및 P-V 특성에 관한 연구)

  • Shin, Hyeon-Man;Li, Ying;Choi, Yong-Sung;Zhang, You-Sai;Lee, Kyung-Sup
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.58 no.3
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    • pp.339-346
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    • 2009
  • Photovoltaic (PV) energy is a renewable and harmless energy which offers many advantages. However, solar energy is an extreme intermittent and inconstant energy source. In order to improve the photovoltaic system efficiency and utilize the solar energy more fully, and the DC current and DC power vary with the irradiation and module temperature, it is necessary to study the characteristics of photovoltaic I-V and P-V according to the external factors. This paper presents the analysis of characteristics of photovoltaic I-V and P-V according to the irradiation and the module temperature. The results show that the DC current and the DC power of the photovoltaic system are increased along with the increasing values of irradiation and module temperature.

A Study on the Characteristics of Photovoltaic I-V and P-V According to the Irradiation and Module Temperature (태양광 시스템의 일사량과 모듈온도에 따른 I-V 및 P-V 특성 연구)

  • Shin, Hyeon-Man;Li, Ying;Park, Se-Joon;Choi, Yong-Sung;Zhang, You-Sai;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.437-446
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    • 2009
  • Solar, as an ideal renewable energy, it has inexhaustible, clean and safe characteristics. In order to improve the photovoltaic system efficiency and utilize the solar energy more fully, and the DC current and DC power vary with the irradiation and module temperature, it is necessary to study the characteristics of photovoltaic I-V and P-V according to the external factors. This paper presents the analysis of characteristics of photovoltaic I-V and P-V according to the irradiation and the module temperature. The results show that the DC current and the DC power of the photovoltaic system are increased along with the increasing values of irradiation.

Electrical characteristics analysis of SiGe pMOSFET for High frequency (초고주파용 SiGe pMOSFET에 대한 전기적 특성 분석)

  • 고석웅;정학기
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2003.05a
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    • pp.682-684
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    • 2003
  • In this paper, we have designed the p-type SiGe MOSFET and analyzed the electrical characteristics over the temperature range of 300K and 77K. When the gate voltage is biased to -1.5V, the threshold voltage values are -0.97V and -1.15V at room temperature and 77K, respectively. We know that the operating characteristics of SiGe MOSFET is superior to the basic Si MOSFET which the threshold voltage is -1.36V.

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Optimization of Capacitor Threshold VT Implantation for Planar P-MOS DRAM Cell (평면구조 P-MOS DRAM 셀의 커패시터 VT 이온주입의 최적화)

  • Chang Sung-Keun;Kim Youn-Jang
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.19 no.2
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    • pp.126-129
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    • 2006
  • We investigated an optimized condition of the capacitor threshold voltage implantation(capacitor $V_T$ Implant) in planar P-MOS DRAM Cell. Several samples with different condition of the capacitor $V_T$ Implant were prepared. It appeared that for the capacitor $V_T$ Implant of $BF_2\;2.0{\times}l0^{13}\;cm^{-2}$ 15 KeV, refresh time is three times larger than that of the sample, in which capacitor $V_T$ Implant is in $BF_2\;1.0{\times}l0^{13}\;cm^{-2}$ 15 KeV. Raphael simulation revealed that the lowed maximum electric field and lowed minimum depletion capacitance ($C_{MIN}$) under the capacitor resulted in well refresh characteristics.

Electrical characteristics analysis of SiGe pMOSFET for High frequency (초고주파용 SiGe pMOSFET에 대한 전기적 특성 분석)

  • 정학기;고석웅
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.7 no.3
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    • pp.474-477
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    • 2003
  • In this paper, we have designed the p-type SiGe MOSFET and analyzed the electrical characteristics over the temperature range or 300K and 77K. When the gate voltage is biased to -1.5V, the threshold voltage values are -0.97V and -1.15V at room temperature and 77K, respectively. We know that the operating characteristics of SiGe MOSFET is superior to the basic Si MOSFET which the threshold voltage is -1.36V.

Analysis of the electrical characteristics for SiGe pMOSFET by the carrier transport models (캐리어 전송 모델에 따른 SiGe pMOSFET의 전기적 특성분석)

  • 김영동;고석웅;정학기;허창우
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2003.10a
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    • pp.773-776
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    • 2003
  • In this paper, we have designed the p-type SiGe MOSFET and analyzed the electrical characteristics. When the gate voltage is biased to -1.5V, the threshold voltage values are -0.97V and -1.15V at room temperature and 77K, respectively. We know that the operating characteristics of SiGe MOSFET is superior to the basic Si MOSFET which the threshold voltage is -1.36V.

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Equivalence of Cyclic p-squared Actions on Handlebodies

  • Prince-Lubawy, Jesse
    • Kyungpook Mathematical Journal
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    • v.58 no.3
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    • pp.573-581
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    • 2018
  • In this paper we consider all orientation-preserving ${\mathbb{Z}}_{p^2}$-actions on 3-dimensional handlebodies $V_g$ of genus g > 0 for p an odd prime. To do so, we examine particular graphs of groups (${\Gamma}(v)$, G(v)) in canonical form for some 5-tuple v = (r, s, t, m, n) with r + s + t + m > 0. These graphs of groups correspond to the handlebody orbifolds V (${\Gamma}(v)$, G(v)) that are homeomorphic to the quotient spaces $V_g/{\mathbb{Z}}_{p^2}$ of genus less than or equal to g. This algebraic characterization is used to enumerate the total number of ${\mathbb{Z}}_{p^2}$-actions on such handlebodies, up to equivalence.

Study on the Hemolysin from Marine V. vulnificus (해양 V. vulnificus의 Hemolysin에 관한 연구)

  • 이봉헌;박흥재
    • Journal of Environmental Science International
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    • v.6 no.3
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    • pp.225-229
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    • 1997
  • A halophilic V. vulnificus is an estuarine microorganism that has been associated with fatal wound Infection and life-threatening septicemia. Hemolysin is defined as toxic substance produced by various species of bacteria Including V. vulnificus. Hemolysin from marine V. vulnificus was purified and the effect of pH, temperature. metal ion on the activity of hemolysin, and thermostability of hemolysin were tested in this study. Hemolysin iysed the sheep red blood cell and the optimum pH was 8.0, the optimum temperature was 4$0^{\circ}C$, and $K^+$ increased but $Mn^{2+}$ decreased the hemolyic activity of hemolysin, but hemolysin was unstable to heat.

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