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A NEW VERTEX-COLORING EDGE-WEIGHTING OF COMPLETE GRAPHS

  • Farahani, Mohammad Reza
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.1-6
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    • 2014
  • Let G = (V ; E) be a simple undirected graph without loops and multiple edges, the vertex and edge sets of it are represented by V = V (G) and E = E(G), respectively. A weighting w of the edges of a graph G induces a coloring of the vertices of G where the color of vertex v, denoted $S_v:={\Sigma}_{e{\ni}v}\;w(e)$. A k-edge-weighting of a graph G is an assignment of an integer weight, w(e) ${\in}${1,2,...,k} to each edge e, such that two vertex-color $S_v$, $S_u$ be distinct for every edge uv. In this paper we determine an exact 3-edge-weighting of complete graphs $k_{3q+1}\;{\forall}_q\;{\in}\;{\mathbb{N}}$. Several open questions are also included.

Photoluminescence Properties of $CuGaSe_2$ Single Crystal ($CuGaSe_2$ 단결정의 Photoluminescence 특성)

  • 진문석;김화택
    • Journal of the Korean Vacuum Society
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    • v.2 no.3
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    • pp.294-298
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    • 1993
  • CuGaSe2 단결정을 고순도(99.9999%)의 Cu, Se 원소를 화학조성비로 칭량한 후 Se을 3mole% 과잉으로 첨가하여 합성된 ingot를 사용하여 iodine(99.9999%)을 수송매체로 한 화학수송법으로 성장시켰다. 성장된 단결정은 검정색을 띠고 있었으며, 10K에서 optical energy gap이 1.755eV로 주어졌다. Ar-ion laser로 여기시켜 측정한 photoluminescence(PL) 스펙트럼으로부터 1.667eV, 1.085eV, 1.025eV에 위치한 세 개의 PL peak를 얻었다. Thermally stimulated current(TSC) 측정에서 0.660eV, 0.720eV의 deep donor level을 관측하였으며, PL peak intensity의 thermal quenching으로 구한 activation energy는 0.010eV이었다. CuGaSe2 단결정에서 PL mechanism은 edge emission 및 donor-acceptor pair recombination임을 규명했다.

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Combustion Characteristics of E.V.A., Rubber Waste Treatment by Fixed-Bed Incinerator. (E.V.A., 고무폐기물 소각에 따른 폐가스 처리의 연구)

  • Bae, Byung-Hoon;Jang, Seong-Ho;Lim, Gyoung-Teck
    • Journal of Environmental Science International
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    • v.5 no.2
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    • pp.221-227
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    • 1996
  • The objectives of this study are to examine combustion characteristics of E.V.A. and rubber wastes by fixed-bed incinerator, The results are as follows. Combustion temperature with time rises rapidly, and mass of E.V.A. reduces at short time in E.V.A. combustion. In variation of air-fuel ratio (m), ice ideal values of m of E.V.A. and rubber are 2.5, 1.5 respectively. Mixed-waste combustion is more economic than single E.V.A. combustion, because we can get high combustion efficiency (94.0~99.0%) at 2.0 air-fuel ratio of mixed-waste combustion. Removal efficiencies of SO2 at cooling tower are about 20%. The combustion efficiencies of rubber are over 98.0% according to the experimental conditions.

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SUPER VERTEX MEAN GRAPHS OF ORDER ≤ 7

  • LOURDUSAMY, A.;GEORGE, SHERRY
    • Journal of applied mathematics & informatics
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    • v.35 no.5_6
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    • pp.565-586
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    • 2017
  • In this paper we continue to investigate the Super Vertex Mean behaviour of all graphs up to order 5 and all regular graphs up to order 7. Let G(V,E) be a graph with p vertices and q edges. Let f be an injection from E to the set {1,2,3,${\cdots}$,p+q} that induces for each vertex v the label defined by the rule $f^v(v)=Round\;\left({\frac{{\Sigma}_{e{\in}E_v}\;f(e)}{d(v)}}\right)$, where $E_v$ denotes the set of edges in G that are incident at the vertex v, such that the set of all edge labels and the induced vertex labels is {1,2,3,${\cdots}$,p+q}. Such an injective function f is called a super vertex mean labeling of a graph G and G is called a Super Vertex Mean Graph.

Design of 5V NMOS-Diode eFuse OTP IP for PMICs (PMIC용 5V NMOS-Diode eFuse OTP IP 설계)

  • Kim, Moon-Hwan;Ha, Pan-Bong;Kim, Young-Hee
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.10 no.2
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    • pp.168-175
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    • 2017
  • In this paper, a 5V small-area NMOS-diode eFuse OTP memory cell is proposed. This cell which is used in PMICs consists of a 5V NMOS transistor and an eFuse link as a memory part, based on a BCD process. Also, a regulated voltage of V2V ($=2.0V{\pm}10%$) instead of the conventional VDD is used to the pull-up loads of a VREF circuit and a BL S/A circuit to obtain a wider operational voltage range of the eFuse memory cell. When this proposed cells are used in the simulation, their sensing resistances are found to be $15.9k{\Omega}$ and $32.9k{\Omega}$, in the normal read mode and in the program-verify-read mode, respectively. Furthermore, the read current flowing through a non-blown eFuse is restricted to $97.7{\mu}A$. Thus, the eFuse link of a non-blown eFuse OTP memory cell is kept non-blown. The layout area of the designed 1kb eFuse OTP memory IP based on Dongbu HiTek's BCD process is $168.39{\mu}m{\times}479.45{\mu}m(=0.08mm^2)$.

SOME PROPERTIES ON f-EDGE COVERED CRITICAL GRAPHS

  • Wang, Jihui;Hou, Jianfeng;Liu, Guizhen
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.357-366
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    • 2007
  • Let G(V, E) be a simple graph, and let f be an integer function on V with $1{\leq}f(v){\leq}d(v)$ to each vertex $v{\in}V$. An f-edge cover-coloring of a graph G is a coloring of edge set E such that each color appears at each vertex $v{\in}V$ at least f(v) times. The f-edge cover chromatic index of G, denoted by ${\chi}'_{fc}(G)$, is the maximum number of colors such that an f-edge cover-coloring of G exists. Any simple graph G has an f-edge cover chromatic index equal to ${\delta}_f\;or\;{\delta}_f-1,\;where\;{\delta}_f{=}^{min}_{v{\in}V}\{\lfloor\frac{d(v)}{f(v)}\rfloor\}$. Let G be a connected and not complete graph with ${\chi}'_{fc}(G)={\delta}_f-1$, if for each $u,\;v{\in}V\;and\;e=uv{\nin}E$, we have ${\chi}'_{fc}(G+e)>{\chi}'_{fc}(G)$, then G is called an f-edge covered critical graph. In this paper, some properties on f-edge covered critical graph are discussed. It is proved that if G is an f-edge covered critical graph, then for each $u,\;v{\in}V\;and\;e=uv{\nin}E$ there exists $w{\in}\{u,v\}\;with\;d(w)\leq{\delta}_f(f(w)+1)-2$ such that w is adjacent to at least $d(w)-{\delta}_f+1$ vertices which are all ${\delta}_f-vertex$ in G.

Synthesis and Photovoltaic Properties of New π-conjugated Polymers Based on Benzo[1,2,5]thiadiazole (Benzo[1,2,5]thiadiazole을 기본 골격으로 한 공액고분자의 합성 및 광전변환특성 연구)

  • Bea, Jun Huei;Lim, Gyeong Eun;Kim, Joo Hyun
    • Applied Chemistry for Engineering
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    • v.24 no.4
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    • pp.396-401
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    • 2013
  • Alternating copolymers, poly[9-(2-octyl-dodecyl)-9H-carbazole-alt-4,7-di-thiophen-2-yl-benzo[1,2,5]thiadiazole] (PCD20TBT) and poly[9,10-bis-(2-octyl-dodecyloxy)-phenanthrene-alt-4,7-di-thiophen-2-yl-benzo[1,2,5]thiadiazole] (PN40TBT), were synthesized by the Suzuki coupling reaction. The copolymers were soluble in common organic solvents such as chloroform, chlorobenzene, 1,2-dichlorobenzene, tetrahydrofuran and toluene. The maximum absorption wavelength and the band gap of PCD20TBT were 535 nm and 1.75 eV, respectively. The maximum absorption wavelength and the band gap of PN40TBT were 560 nm and 1.97 eV, respectively. The HOMO and the LUMO energy level of PCD20TBT were -5.11 eV and -3.36 eV, respectively. As for PN40TBT, the HOMO and the LUMO energy level of PCD20TBT were -5.31 eV and -3.34 eV, respectively. The polymer solar cells (PSCs) based on the blend of copolymer and PCBM (1 : 2 by weight ratio) were fabricated. The power conversion efficiencies of PSCs based on PCD20TBT and PN40TBT were 0.52% and 0.60%, respectively. The short circuit current density ($J_{SC}$), fill factor (FF) and open circuit voltage ($V_{OC}$) of the device with PCD20TBT were $-1.97mA/cm^2$, 38.2% and 0.69 V. For PN40TBT, the $J_{SC}$, FF, and $V_{OC}$ were $-1.77mA/cm^2$, 42.9%, and 0.79 V, respectively.

A Study on Dynamic Characteristics of a Refrigeration System by Controlling the Evaporator Superheat (증발기 과열도제어에 따른 냉동장치의 동특성에 관한 연구)

  • 김재돌;오후규;윤정인
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.2012-2021
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    • 1995
  • An experimental study was performed for the analysis of dynamic characteristics of refrigeration system by controlling the evaporator superheat. Experimental data have been taken utilizing two different devices, thermostatic expansion valve(T.E.V.) and electronic expansion valve(E.E.V.), for the control of the evaporator superheat. The ranges of parameters, such as superheat, mass flow rate of refrigerant and inlet temperature of evaporator were 5-30.deg. C 90-170 kg/h and 10-25.deg. C, respectively. The data taken from the T.E.v.and E.E.v.were discussed with the control of the superheat, pressure drop, refrigerating capacity, compression work, evaporating temperature, condensing temperature and COP affecting performance characteristics of refrigeration system. In case of the refrigerant flow control with T.E..V., the superheat and pressure drop of the evaporator varied periodically, but the control with E.E.V., the parameters were very stable. In E.E.v.control, refrigerating capacity, compression work and evaporating temperature were decreased with increasing superheat, and the highest COP was obtained in the range of superheat from 5.deg. C to 15.deg. C.

쌍끌이 중층트롤어법의 연구 ( 2 ) - 모형어구의 깊이에 관하여 - ( A Study on the Pair Midwater Trawling ( 2 ) - Working Depth of the Model Net - )

  • 이병기
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.31 no.1
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    • pp.45-53
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    • 1995
  • Working depth of the model net was determined by using of the same experimental tank and the same model net that used in the forwarded report in a series studies. The depth of the net which indicates the depth of the head rope from the water surface, was determined by the photographs taken in front of the net mouth with the combination of towing velocity, warp length and distance between paired boats. The results obtained can be summarized as follows: 1. Working depth of model nets A and B was varied in the range of 0.09~1.66$m$,and 0.04~1.34$m$(which can be converted into 2.7~40.2$m$and 1.2~49.8$m$in the full-scale net) respectively, and the depth of model net A was slightly deeper than the depth of the model net B. 2. Working depth ($D$,which is appendixed m for the model net, f for the full-scale net, A and B for the types of the model nets) can be expressed as the function of towing velocity$V_t$, as in the model net($V_t$=$m$/$sec$) $D_{mA}$=(-1.99+0.65$L_w$) $e^{-1.72V_t}$ $D_{mA]$=(-1.91+1.04 $L_w$) $e^{2.88V_t}$ in the full-scale net($V_t$=$k$'$t$ $D_{fA}$=(-29.32+0.65$L_w$)$e^{0.40 V_t}$ $D_{fB}$=(-57.60+1.04$L_w$)$e^{-0.67 V_t}$ 3. Working depth 9$D$ appendixes are as same as the former) can be expressed as the function of warp length$L_w$) in the model net, and can be converted into full-scale net as in the model net ($V_t$=$m$/$sec$) $D_{mA}$=-0.99 $e^{-1.42V_t}$+0.67$e^{-1359V_t}$$L_w$ $D_{mB}$=-.258$e^{-3.77V_t}$+1.16$e^{-3.15V_t$ $L^w$, in the full-scale net($V_t$=k't) $D_{fA}$=-29.28$e^{-0.32V_t}$+0.67$e^{-0.37V_t$$L_w$ $D_{fB}$=-69.10$e^{-0.81V_t}$+1.16$e^{-0.72V_t}$$L_w$. 4. Working depth was gradually shallowed according to the increase of the distance between paired boats.

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GaN를 기반으로 하는 고분자 MDMO-PPV의 두께 변화와 온도에 따른 Photovoltaics의 효율 측정

  • Lee, Sang-Deok;Lee, Chan-Mi;Gwon, Dong-O;Sin, Min-Jeong;Lee, Sam-Nyeong
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.08a
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    • pp.305-305
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    • 2013
  • 태양전지는 무기태양전지와 유기태양전지 등이 연구 되고 있는데 [1] 그 중 유기물질의 장점(높은 수율, solution phase processing, 저비용으로 전력 생산)과 무기재료의 장점(높은 전자 이동도, 넓은 흡수 범위, 우수한 환경 및 열 안정성)을 융합함으로써 장기적 구조안정성의 확보와 광전변환의 고 효율화를 동시에 달성하기 위한 유기무기 하이브리드 태양전지가 최근 큰 관심을 끌고 있다[2]. 본 연구에서는 hybrid photovoltaics에 유기물 MDMO-PPV와 전도성 고분자 PEDOT:PSS를 무기물 GaN 위에 spin coating 하여 두께에 다른 효율을 측정하였다. 유기물 MDMO-PPV는 p-형으로 클로로벤젠, 톨루엔과 같은 유기 용매에 잘 녹으며 HOMO 5.33eV, LUMO 2.97eV, energy band gap 2.4eV이며 99.5%의 순도 물질을 사용하였다. 또한 정공 수송층(hole transport layer, HTL)으로 PEDOT:PSS를 사용하였으며, HOMO 5.0eV, LUMO 3.6eV, energy band gap 1.4eV를 가지며 증류수나 에탄올과 같은 수용성 용매에 잘 녹는 특성을 가지고 있다. 무기물은 III-V 족 물질 n-GaN(002)을 사용하였고 valence band energy 1.9eV, conduction band energy 6.3eV, energy band gap 3.4eV, 높은 전자 이동도와 높은 포화 속도, 광전자 소자에 유리한 광 전기적 특성을 가지고 있다. 기판으로는 GaN와 격자 부정합도와 열팽창계수 부정합도가 큰 Sapphire (Al2O3) 이종 기판을 사용하였다. 전극으로 Au를 사용하였으며 E-beam증착하였다. Reflector로서 Al를 thermal evaporator로 증착하였다 [3]. 실험 과정은 두께에 따른 효율을 알아보기 위해 MDMO-PPV를 900~1,500 rpm으로 spin coating 하였고, 열처리에 따른 효율을 알아보기 위해 열처리 온도 조건을 $110{\sim}170^{\circ}C$의 변화를 주었다. FE-SEM으로 표면과 단면을 관찰하였으며 J-V 특성을 알아보기 위해 각 샘플마다 solar simulator를 사용하여 측정하였고 그 결과를 논의하였다.

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