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DISTANCE TWO LABELING ON THE SQUARE OF A CYCLE

  • ZHANG, XIAOLING
    • Korean Journal of Mathematics
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    • v.23 no.4
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    • pp.607-618
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    • 2015
  • An L(2; 1)-labeling of a graph G is a function f from the vertex set V (G) to the set of all non-negative integers such that ${\mid}f(u)-f(v){\mid}{\geq}2$ if d(u, v) = 1 and ${\mid}f(u)-f(v){\mid}{\geq}1$ if d(u, v) = 2. The ${\lambda}$-number of G, denoted ${\lambda}(G)$, is the smallest number k such that G admits an L(2, 1)-labeling with $k=\max\{f(u){\mid}u{\in}V(G)\}$. In this paper, we consider the square of a cycle and provide exact value for its ${\lambda}$-number. In addition, we also completely determine its edge span.

Production of Glutathione by yeast and Process Monitoring (효모에 의한 글루타치온의 생산과 공정 모니터링)

  • 김춘광;이종일
    • KSBB Journal
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    • v.19 no.3
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    • pp.192-199
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    • 2004
  • In this work the production of glutathione (GSH) by yeast Saccharomyces cerevisiae and the monitoring of the process were studied. In shaking culture the production of GSH was high at initial pH value of 4 and at temperature of 30$^{\circ}C$. But when L-cysteine was added to the culture medium at the beginning of the cultivation, the productivity of GSH was low. In case 0,5% (v/v) of L-cysteine, glycine and glutamic acid were introduced to the culture medium in the exponential cell growth phase, high concentration of GSH (about 90 mg/L) was produced in the bioreactor. A fed-batch operation with stepwise glucose feeding strategy allowed to produce 102 mg/L of GSH. The cultivation processes were on-line monitored by a 2-dimensional fluorescence sensor. A few off-line data such as cell growth, cystein concentration, phosphate concentration and GSH productivity could be well correlated to the fluorescence intensity of some combinations of excitation and emission wavelengths.

Culture Optimization for Bacillus lentimorbus G-74 by Using a Miscanthus purpurascens Juice Medium (억새즙액 배지를 이용한 Bacillus lentimorbus G-74 균주의 배양 최적화)

  • Kang, Sun-Chul;Seo, Hae-Jeong
    • Korean Journal of Environmental Agriculture
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    • v.23 no.1
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    • pp.68-74
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    • 2004
  • Miscanthus purpurascens Juice containing potassium (37,952 mg/L), nitrogen (14,000 mg/L), phosphorus (6,800 mg/L), magnesium (5,969 mg/L), calcium (5,910 mg/L), etc., was investigated to develop a novel meidum far the mass cultivation of useful microorganisms. For this research, we first isolated an antagonistic bacterium G-74 from soil, which showed strong growth inhibition against two phytopathogenic fungi, Rhizoctonia solani and Botrytis cinerea, and identified as Bacillus lentimorbus G-74 based on the morphological characteristics and MIDI analysis. Culture conditions for G-74 strain in the M. purpurascens juice medium were optimized. Dilution rate of the medium, temperature and initial pH for the optimum growth of G-74 strain were 30% (V/V), $35^{\circ}C$ and 5.0, respectively. It was found that additions of 2.0% (W/V) corn starch as a carbon source and 1.0% (W/V) yeast extract as a nitrogen source in this medium increased B. lentimorbus G-74 growth to 66% more efficient than Luria Bertani medium.

젖산균의 Plasmid DNA 분리방법 및 Electroporation에 의한 젖산균의 형질전환에 관한 연구

  • Kim, Seon-Gi
    • 한국유가공학회:학술대회논문집
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    • 1997.05a
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    • pp.41-61
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    • 1997
  • 젖산균의 유전자 연구를 촉진하기 위해 간단하고 신속한 plasmid DNA의 분리방법과 electro-poration을 이용하여 vector plasmid의 간단하고 신속한 전이방법을 얻기 위해 젖산균의 형질전환에 영향하는 요인에 대하여 연구하였으며 연구결과는 다음과 같다. 1. O'Sullivan과 Klaenhammer의 방법을 개선하여 젖산균 plasmid DNA의 분리에 좋은 결과를 얻을 수 있는 신속하고 쉬운 방법을 고안하였으며, genomic DNA 분리에 이용되는 guanidium thio-cyanate 처리방법을 plasmid의 분리에 적용할 수 있었다. 2. L. casei, L. acidophilus. L. delbruekii var. bulgaricus. L. brevis와 L. plantarum 균주에서 plasmid를 확인하였으며, 돼지 분에서 분리된 L. lactis ssp. lactis. L. fermentum과 L. plantarum에서도 plasmid를 분리 확인하였다. 3. Lactococci의 plasmid분리는 lactobacilli와는 달리 mutanolysin의 처리없이도 잘 되었으며, L. lactis ssp. lactis와 Ent. faecalis에서 plasmid를 확인하였다. 4. E. coli plasimd 분리에 이용되는 MPS membrane filter 방법으로 젖산균 plasmid pLZ12의 분리가 가능하였으나, 세포파편이 filter를 막아 사용에 어려움이 있는 것으로 확인되었다. 5. Plasmid 분리없이 electroporation을 이용한 세포 대 세포 전이법으로 간편하고 빠르게 E. coli DH5${\alpha}$에 E. coli Jm109의 plasmid pBX19, pBR322를 전이시켰다. 6. L. lactis ssp. lactis 균주에 lysozyme 처리시 30${\sim}$80%의 생존율을 보였으며, 대부분의 L. acidophilus 균주의 경우 약 70%의 생존율을 보였다. L. casei 102S의 경우는 45분간 처리 시에도 100%의 생존율을 보였다. 8. L. lactis ssp. lactis 균주에 pLZ12를 6.0kV에서 전이시킨 결과 12.5kV에서보다 형질전환 효율이 훨씬 높았으며 lysozyme 처리에 의해 형질전환 효율이 증가되었다. 9. L. acidophilus 균주에 pLZ12를 전이시 6.0kV에서는 전이가 모두 이루어졌으나, 12.5kV에서는 L. acidophilus WIESBY와 NCFM에서 전이가 이루어지지 않았으며, lysozyme 처리 후 pLZ12를 전이시켰을 때 12kV보다 6.0kV에서 형질전환 효율이 증가되었다. 10. Gene Pulser와 Progenitor II를 사용하여 pLZ12를 L. lactis ssp. lactis 균주에 전이하였을 때 Gene Pulser에 비해 Progenitor II의 형질전환 효율이 현저히 떨어졌다. L. acidophilus HY7008과 HY7001은 두 기기 모두 형질전환이 이루어졌으나, L. acidophilus WEISBY와 NCFM은 Progeni-tor II에서 전이가 일어나지 않았으며, Gene Pulser에서 전이균주를 얻어 두 electroporator간에 형질전환 효율의 차이를 보였다. 11. L. casei 102S에 pLZ12를 electroporation시 낮은 전압에서 형질전환 효율이 비교적 좋았으며, 배양 시기를 달리하여 전이시켰을 때 대수생장 말기의 세포가 형질전환 효율이 좋았다. 12. L. casei 102S세포를 각각 10% glycerol, EB, 2차 증류수 등에 녹여 electroporation을 실시하였을 때 각각 $3.8{\times}10^3$, $5.0{\times}10^2$,1.5${\times}10^2$cfu의 형질전환 효율을 보였으며, 1.0mM HEPES, TE buffer를 사용하였을 때에는 전이가 이루어지지 않았다. 13. Plasmid pLZ12의 농도를 달리하여 electroporation을 하였을 때 형질전환 효율이 농도에 비례하여 증가하였다. 14. L. casei 102S에 대수생장 말기의 세포를 채취하여 10% glycerol, 200 Ohms, 25 ${\mu}$FD, 10kV/cm로 plasmid pLZ12를 electroporation할 때 최대 형질전환 효율인 3.8${\times}$10$^{3}$cfu를 얻었으며, lysozyme 처리가 다른 젖산균과는 달리 형질전환 효율을 증가시키지 못하였다. 15. L. casei 102S 세포를 10% glycerol과 EB에 녹여 -20$^{\circ}C$에서 냉동시킨 다음 1일과 7일 후의 세포를 electroporation한 결과 냉동시 세포에 손상을 주는 것으로 인식되었다.

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Advanced Water Treatment of High Turbidity Source by Hybrid Process of Ceramic Ultrafiltration and Photocatalyst: 2. Effect of Photo-oxidation and Adsorption (세라믹 한외여과 및 광촉매 혼성공정에 의한 고탁도 원수의 고도정수처리: 2. 광산화와 흡착의 영향)

  • Cong, Gao-Si;Park, Jin-Yong
    • Membrane Journal
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    • v.21 no.2
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    • pp.201-211
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    • 2011
  • The effects of humic acid (HA), photo-oxidation and adsorption were investigated in hybrid process of ceramic ultrafiltration and photocatalyst for drinking water treatment. UF, photocatalyst, and UV radiation processes were investigated in viewpoints of membrane fouling resistance $(R_f)$, permeate flux (J), and total penneate volume $(V_{\Upsilon})$ at 2 and 4 mg/L of HA respectively. As decreasing HA, $R_f$ decreased dramatically and J increased, and finally $V_{\Upsilon}$ was the highest at 2 mg/L HA. Average treatment efficiencies of turbidity decreased as increasing HA, but treatment efficiency of HA was the highest at 4 mg/L HA. It was because most of HA was removed by membrane and some HA passing through the membrane was adsorbed or photo-oxidized by photocatalyst at low HA, and therefore treated water quality was almost same at 2 and 4 mg/L HA, but feed water quality was higher at 4 mg/L. At effect experiment of photo-oxidation and adsorption, J of UF + $TiO_2$ + UV process was maintained at the highest, and ultimately $(V_{\Upsilon})$ after 180 minutes' operation was the highest. As results of comparing the treatment efficiencies of turbidity and HA, photocatalyst adsorption had more important role than photo-oxidation when HA increased from 2 to 4 mg/L.

Comparative Performance Evaluation of 10kV IGCTs in 3L ANPC and TNPC Converters in PMSG MV Wind Turbines (PMSG 풍력발전기용 3L ANPC와 TNPC 컨버터에서의 10kV IGCT 성능 비교 평가)

  • Lyngdoh, Amreena Lama;Suh, Yongsug;Park, Byoung-Gun;Kim, Jiwon
    • The Transactions of the Korean Institute of Power Electronics
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    • v.24 no.6
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    • pp.419-427
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    • 2019
  • Several multilevel converter topologies have been proposed and compared. The three-level (3L) neutral-point-clamped (NPC) topology is promising and widely accepted. However, this topology suffers from uneven loss distribution among switches due to its fixed switching strategy. The 3L active NPC (ANPC) topology, which exhibits improved loss distribution profile, was proposed to address this disadvantage. The 3L T-NPC topology, a hybrid configuration of 2L and 3L NPC topologies, was introduced to address not only the loss distribution problem but also the reduction in the number of switches. In the present research, the application of these three topologies in PMSG-based medium-voltage wind turbines was investigated. The power devices considered were 10 kV IGCTs. Performance was evaluated in terms of a power loss of 10 kV IGCT for each NPC topology, which is a crucial indicator of thermal behavior, reliability, cost, and lifetime of any converter. The comparison was performed using ABB make 10 kV IGCT 5SHY17L9000 and the simulation tool PLECS.

The Study on the Upper-bound of Labeling Number for Chordal and Permutation Graphs (코달 및 순열 그래프의 레이블링 번호 상한에 대한 연구)

  • Jeong, Tae-Ui;Han, Geun-Hui
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.8
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    • pp.2124-2132
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    • 1999
  • Given a graph G=(V,E), Ld(2,1)-labeling of G is a function f : V(G)$\longrightarrow$[0,$\infty$) such that, if v1,v2$\in$V are adjacent, $\mid$ f(x)-f(y) $\mid$$\geq$2d, and, if the distance between and is two, $\mid$ f(x)-f(y) $\mid$$\geq$d, where dG(,v2) is shortest distance between v1 and in G. The L(2,1)-labeling number (G) is the smallest number m such that G has an L(2,1)-labeling f with maximum m of f(v) for v$\in$V. This problem has been studied by Griggs, Yeh and Sakai for the various classes of graphs. In this paper, we discuss the upper-bound of ${\lambda}$ (G) for a chordal graph G and that of ${\lambda}$(G') for a permutation graph G'.

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Phase Cooperation between Mo-V-O and SnO2 in Selective Oxidation of Acrolein -II. Supported Catalysts- (아크롤레인 선택 산화반응에서 Mo-V-O와 SnO2의 상간협동 - II. 담지촉매 -)

  • Park, Dae-Won;Na, Suk-Eun;Kim, Kyung-Hoon;Lee, Won-Ho;Chung, Jong Shik
    • Applied Chemistry for Engineering
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    • v.5 no.2
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    • pp.295-304
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    • 1994
  • $Mo-V-O/SnO_2$(VM/Sn) and $SnO_2/Mo-V-O$(Sn/VM) catalysts have been prepared and characterized by XRD, BET, SEM and TPD of ammonia. The catalytic reaction of acrolein oxidation with these catalysts, in a continuous-flow fixed-bed reactor, showed that they had higher conversion of acrolein and higher yield of acrylic acid than those of Mo-V-O itself. The origin of the observed synergy studied by TPD, TPR and TPO is explained by the cooperation of $SnO_2$ and Mo-V-O at their interfaces where electrons flow from Mo-V-O phase to $SnO_2$ and $SnO_2$ produces spill-over oxygens, which, by being transported onto the surface of Mo-V-O, reoxidize the partially reduced active sites.

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Etude sur le v tement dans le Proche-Orient (근동지역의 복식 연구(I) -성서에서의 복식의 상징성과 고대 근동지역의 복식 연구-)

  • 오춘자
    • Journal of the Korean Society of Costume
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    • v.19
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    • pp.175-194
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    • 1992
  • Le Proche-Orient est le pays de la Bible, Le peuple He breu ancien, appartenant la race des S mits s mi-nomades, est venu avec Abraham, de m sopotamie en Palestine, terre de Canaan. Nous avons consid r les v tements du peuple des anciens H breux en nous basant sur la Bible et en observant des peintures murales et des bas-reliefs des divers payes de l'ancienne poque, Pour comprendre l' volution des v tements des gens de la pr sente r gion palestinienne, nous avons tudi les v tements traditionnels de la race b douine qui m nent jusqu' maintenant une vie nomade dans le m nent jusqu' maintenant une vie nomade dans le d sert, parce que nous n'avons pas pu connaitre le processus d' volution des v tements apr s l'ancienne poque la suite d' v nements historiques compliques. En conclusion, nous pouvons nous r sumer comme suit: 1) Nous pensons que la kimlah, costume important du peuple h breu ancien est devenu abajeh, manteau des B douins, puisque ces v tements servent prot ger le corps lors des changments de temps, et la nuit on les utilise comme couverture et comme sac pour y mettre des objets, et comme tente lors su travail. en un mot, les fonctions de la Simlah et celles de l'abajeh sont les memes l' poque ancienne et maintenant. 2) Nous pensons que la forme et l'utilisation de la Kethoneth ayant une forme de tunique et de la thob des B douins sont presque semblable. La kethoneth et la thob sont la tuniqu importante que portent jusqu' maintenant tous les peuples du Proche-Orient. 3) Comme on le voit dans la Bible, les femmes du peuple h breu et celles des B douins utilisent le voile pour couvrir la e te, et se servent d'accessoires pour d corer leur corps. A l'avenir, les vVtements des Palestiniens, dans une recherche pous approfondie, feront l'objet de a 2 me partie de l' tude des costumes du Proche-Orient.

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Structural dependences of the extinction in an 1.55 $1.55{\mu}m$ InGaAsP/InGaAsP multiple-quantum-well electro-absorption modulator (1.55 $1.55{\mu}m$ InGaAsP/InGaAsP MQW 광흡수 변조기에서 구조변수가 소광특성에 미치는 영향)

  • 민영선;심종인;어영선
    • Korean Journal of Optics and Photonics
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    • v.12 no.1
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    • pp.40-47
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    • 2001
  • The structural dependence of the performance of an 1.55 $1.55{\mu}m$ InGaAsPIInGaAsP MQW electro-absorption modulator for highspeed digital fiber communication was systematically investigated. The effects of n-doped SCH region length $t_n$ as well as the general structure parameters including quantum well number $N_w$, well-thickness $t_w$, detuning wavelength $\Delta\lambda$, and device length L were thoroughly analyzed. Thereby, a high-pelfoIDlance electro-absorption modulator with device length L of $100{\mu}m$ was successfully designed. The designed structure showed excellent characteristics that have residual loss less than -1.5 dB, operational voltage from 0 V to -2V, and extinction ratios of -2.92 dB at $V_{\alpha}$=-1 V and -10 dB at $V_{\alpha}$=-2V.X>=-2V.

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