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ODD-EVEN GRACEFUL GRAPHS

  • Sridevi, R.;Navaneethakrishnan, S.;Nagarajan, A.;Nagarajan, K.
    • Journal of applied mathematics & informatics
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    • 제30권5_6호
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    • pp.913-923
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    • 2012
  • The Odd-Even graceful labeling of a graph G with $q$ edges means that there is an injection $f:V (G)$ to $\{1,3,5,{\cdots},2q+1\}$ such that, when each edge $uv$ is assigned the label ${\mid}f(u)-f(v){\mid}$, the resulting edge labels are $\{2,4,6,{\cdots},2q\}$. A graph which admits an odd-even graceful labeling is called an odd-even graceful graph. In this paper, we prove that some well known graphs namely $P_n$, $P_n^+$, $K_{1,n}$, $K_{1,2,n}$, $K_{m,n}$, $B_{m,n}$ are Odd-Even graceful.

원형질 융합에 의한 전분으로부터 에탄올 발효효모균주의 개량 (Construction of Starch-assimilating and Ethanol-fermenting Yeast by Protoplast Fusion)

  • 이혜정;이지나;천경숙;박소영;마은애;민경희
    • 미생물학회지
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    • 제30권6호
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    • pp.546-552
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    • 1992
  • 에탄올 내성 및 고 알콜 생성 균주인 S. cerevisiae BU-1 와 glucoamylase 생성 우수 균주인 S. diastaticus A15 를 시험 균주로 하여 genetic manipulation 에 의하여 haploid 인 S. cerevisiae BUI.alpha.26($alc^r thr^-$) 와 S. diastaticus A15a6($STA^+ hom$) 균주를 분리하였다. 이등 효모 균주의 원형질체 형성을 위하여 0.8 M sorbitol 의 존재하에서 zymolyase $200\mu$g/ml 와 $400\mu$g/ml 을 2 시간 동안 처리시 두 균주 모두 95% 이상 원형질체를 얻었다. PEG 6000 을 90 분간 반응시킬 경우 융합 빈도는 $ 3.25 {\times} 10^{-3}$ 이었다. 원형질체 융합으로 생성된 융합주의 유전적 분석, 에탄올 내성, glucoamylase 생성을 측정한 결과, 이들 융합주의 유전자형은 STA $alc^r$ thr hom. '/STA' $alc^r$ thr hom로 예상되었으며, glucoamylase 활성도는 A15a6 의 경우 2.7 units 이었으나, 융합주 F7, F10 은 각각 4.2 와 8.4 units 로 나타났다. 에탄올 내성 시험을 하여 선별한 결과, 가장 우수한 균주인 융합주 7개 중 F7 과 F10 을 선별하였다. 5% 의 녹말이 포함된 발효배양액에서 $30^{\circ}C$ 5일간 배양시 생성된 에탄올 생성은 융합주 F7 과 F10 은 각각 2.0% 와 1.85 이였다.

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KIC 6206751: the first R CMa-type eclipsing binary with ɣ Doradus pulsations

  • Lee, Jae Woo;Park, Jang-Ho
    • 천문학회보
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    • 제44권1호
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    • pp.84.2-84.2
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    • 2019
  • We present the absolute properties of the double-lined eclipsing binary KIC 6206751 exhibiting multiperiodic pulsations. The Kepler light curve of this system was simultaneously solved with the previously published radial-velocity data. The results indicate that the binary star is a short-period semi-detached system with fundamental parameters of $M_1=1.66{\pm}0.04M_{\odot}$, $M_2=0.215{\pm}0.006M_{\odot}$, $R_1=1.53{\pm}0.02R_{\odot}$, $R_2=1.33{\pm}0.02R_{\odot}$, $L_1=5.0{\pm}0.6L_{\odot}$, and $L_2=0.96{\pm}0.09L_{\odot}$. We applied multiple frequency analyses to the eclipse-subtracted light residuals and detected the 42 frequencies below $2.5days^{-1}$. Among these, three independent frequencies of $f_2$, $f_3$, and $f_4$ can be identified as high-order ($38{\leq}n{\leq}40$) low-degree (l=2) gravity-mode oscillations, whereas the other frequencies may be orbital harmonics and combination terms. The ratios between the orbital frequency and the pulsation frequencies are $f_{orb}:f_{2-4}{\simeq}2:3$, which implies that the ${\gamma}$ Dor pulsations of the detached primary star may be excited by the tidal interaction of the secondary companion. The short orbital period, and the low mass ratio and $M_2$ demonstrate that KIC 6206751 is an R CMa-type star, which is most likely evolving into an EL CVn star. Of seven well-studied R CMa-type stars, our program target is the only eclipsing binary with a ${\gamma}$ Dor pulsating component.

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Development of SCAR Markers for the Identification of Phytophthora katsurae Causing Chestnut Ink Disease in Korea

  • Lee, Dong Hyeon;Lee, Sun Keun;Lee, Sang Yong;Lee, Jong Kyu
    • Mycobiology
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    • 제41권2호
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    • pp.86-93
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    • 2013
  • Sequence characterized amplified region (SCAR) markers are one of the most effective and accurate tools for microbial identification. In this study, we applied SCAR markers for the rapid and accurate detection of Phytophthora katsurae, the casual agent of chestnut ink disease in Korea. In this study, we developed seven SCAR markers specific to P. katsurae using random amplified polymorphic DNA (RAPD), and assessed the potential of the SCAR markers to serve as tools for identifying P. katsurae. Seven primer pairs (SOPC 1F/SOPC 1R, SOPC 1-1F/SOPC 1-1R, SOPC 3F/SOPC 3R, SOPC 4F/SOPC 4R, SOPC 4F/SOPC 4-1R, SOPD 9F/SOPD 9R, and SOPD 10F/SOPD 10R) from a sequence derived from RAPD fragments were designed for the analysis of the SCAR markers. To evaluate the specificity and sensitivity of the SCAR markers, the genomic DNA of P. katsurae was serially diluted 10-fold to final concentrations from 1 mg/mL to 1 pg/mL. The limit of detection using the SCAR markers ranged from $100{\mu}g/mL$ to 100 ng/mL. To identify the limit for detecting P. katsurae zoospores, each suspension of zoospores was serially diluted 10-fold to final concentrations from $10{\times}10^5$ to $10{\times}10^1$ zoospores/mL, and then extracted. The limit of detection by SCAR markers was approximately $10{\times}10^1$ zoospores/mL. PCR detection with SCAR markers was specific for P. katsurae, and did not produce any P. katsurae-specific PCR amplicons from 16 other Phytophthora species used as controls. This study shows that SCAR markers are a useful tool for the rapid and effective detection of P. katsurae.

19F NMR investigation on the ratio of amorphous to crystal for the binder PVdF in Li ion battery

  • Im, Jong-san;Park, Junghwan;Kim, Kyoung Soo;Jung, Hyunok
    • 한국자기공명학회논문지
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    • 제23권1호
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    • pp.1-5
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    • 2019
  • $^{19}F$ NMR experiments were carried out to observe the change of the characteristics of the PVdF binder which is an auxiliary material of the lithium ion battery. PVdF has various crystalline or amorphous phases by thermal treatment. A mixture of cathode and auxiliary materials including PVdF was coated on aluminum foil as an electron collector and then subjected to thermal treatment at various temperatures. The overlapped $^{19}F$ NMR signals obtained from the various phases were separately convoluted into the respective phases, and it was found that there was a relative ratio change of these phases. In addition, the crystal and amorphous phase of PVdF was changed during the vacuum drying, which is the last step of the actual electrode manufacturing. It was observed that the relative amount of amorphous phase, which may affect the flexibility of the electrode or the wettability of the electrolyte, abruptly changes after a certain temperature.

Molecular Detection of Phellinus linteus and P. baumii by PCR Specific Primer

  • Nam, Byung-Hyouk;Kim, Gi-Young;Park, Hyung-Sik;Lee, Sang-Joon;Lee, Jae-Dong
    • Mycobiology
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    • 제30권4호
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    • pp.197-201
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    • 2002
  • Specific primer sets based on ribosomal DNA(rDNA) internal transcribed specer(ITS) sequences were designed for rapid detection of Phellinus linteus and P. baumii. Polymerase chain reaction(PCR) with these primers produced unique bands for each Phellinus species. The annealing temperature range is from $40^{\circ}C\;to\;55^{\circ}C$. The length of PCR products(P. linteus and P. baumii) using designed combinative primer sets of PL1F, PL2R, PB1F, PB2R, ITS5F and ITS4R, were from 520 by to 730 bp. Fifteen strains of Phellinus species including P. linteus, P. baumii, P. weirianus, P. johnsonianus, P. rhabarberinus, P. pini, P. gilvus, P. igniarius, P. nigricans and P. laevigatus were examined in this study. Five strains, including two isolated strains of P. linteus(MPNU 7001 and MPNU 7002), and two isolated strains of P. baumii(MPNU 7004 and MPNU 7005) were shown to have about 520 bp (PL1F-PL2R), 700 bp (TTS5F-PL2R) and 600 bp (PB1F-ITS4R) -sized PCR single bands respectively. This molecular genetic technique provided a useful method for rapid detection and identification of P. linteus and P. baumii.

ON GRAPHS ASSOCIATED WITH MODULES OVER COMMUTATIVE RINGS

  • Pirzada, Shariefuddin;Raja, Rameez
    • 대한수학회지
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    • 제53권5호
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    • pp.1167-1182
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    • 2016
  • Let M be an R-module, where R is a commutative ring with identity 1 and let G(V,E) be a graph. In this paper, we study the graphs associated with modules over commutative rings. We associate three simple graphs $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$ to M called full annihilating, semi-annihilating and star-annihilating graph. When M is finite over R, we investigate metric dimensions in $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$. We show that M over R is finite if and only if the metric dimension of the graph $ann_f({\Gamma}(M_R))$ is finite. We further show that the graphs $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$ are empty if and only if M is a prime-multiplication-like R-module. We investigate the case when M is a free R-module, where R is an integral domain and show that the graphs $ann_f({\Gamma}(M_R))$, $ann_s({\Gamma}(M_R))$ and $ann_t({\Gamma}(M_R))$ are empty if and only if $$M{\sim_=}R$$. Finally, we characterize all the non-simple weakly virtually divisible modules M for which Ann(M) is a prime ideal and Soc(M) = 0.

$\alpha$-Methylpyridine유도체의 국지 선택적 리튬화 반응과 $Me_2RSiCl(R = Me, tBuCH_2(Me_3Si)CH)$을 이용한 반응생성물의 확인반응 (Regioselective Lithiation of $\alpha$-Methylpyridine Analogue and Its Trapping Reactions with $Me_2RSiCl(R = Me, tBuCH_2(Me_3Si)CH)$)

  • 김정균;박은미;손병영
    • 대한화학회지
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    • 제38권8호
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    • pp.570-575
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    • 1994
  • $\alpha$-Methylpyridine유도체1(a∼f)는 n-BuLi과의 반응에서 $\alpha$-methylenylpyridinium 염 3(a∼f)을 형성한다. 3(a∼f)와 $Me_3SiCl$$Me_2SiClCH(SiMe_3)CH_2tBu$반응에서 생성물 4(a∼f) 와 5(a∼f)을 형성한다. 화합물 4(a∼f)에 있는 규소원자와 결합된 methylene기의 수소원자는 화합물 4(a∼f)의 $CH_3$기 보다 n-BuLi과의 반응성이 큰 것으로 확인되었다.

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한국에 있어서 임목에 기생하는 선충조사 I. 묘목기생선충에 관한 연구 (Nematodes Associated with Forest with Forest Trees in Korea I. Studies on Nematodes Associated with Saplings)

  • 최영렬;조명래;문일성
    • 한국응용곤충학회지
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    • 제31권1호
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    • pp.50-68
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    • 1992
  • 전국 8개도 림업시험양의 묘포장을 대상으로 묘목기생 선충을 조사한 결과는 다음과 같다. 총119수종에서 2목 11화 20속 35종의 선충이 검출되었으며 이중에 Xiphinema insigne는 우리나라 미기록종으로 Geaeenamus n. sp. 는 신종으로 발견되었다.. 묘포장에서 선충검출율을 보면 남부임시묘포장에서만 Tiiehodorus sp.의 검출율이 71.4%로 Tylenehorhynehus claytoni의 57.1%보다 약간 높게 나타난 것을 제외하고는 T. claytoni의 검출률이 각 포장에서 가장 높게 나타났고 밀도 또한 매우 높았으므로 묘목에 기생하는 선충 중 하?점종임이 밝혀졌다. 각 모포장별 T. claytoni의 검출율은 충남임시묘포장에서는 15종의 묘목에서 전부 검출되어 100 %의 검출율로 가장 높게 나타났고 다음으로 강원 87.5%, 경북 66.6%, 전북 58.3%, 충북 4 48.1%, 경의 41.3%, 전남 40% 등의 순이었다. 주요 기생선충별 검출율을 보면 전북림시에 서는 Crieonemella morgensis가 검출율이 37.5%이고 밀도가 매우 높았으며, 전남림시에서는 Helicotylenehus digonicus 의 검출율이 35%이고 밀도가 매우 높았고, 충남림시에서는 Pararotylenehus pini 의 검출율이 37%로 밀도가 높았고, 경의림시에서는 Tylenehorhynehus nudus와 Crieonemella infarmis의 검출율이 각각 37.9, 27.5%로 밀도가 높았고, 강원림시에서 는 Meloidogyne sp.의 검출율이 12.5로 밀도가 매우 높았다.

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SOME RESULTS ON MEROMORPHIC SOLUTIONS OF CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS

  • Li, Nan;Yang, Lianzhong
    • 대한수학회보
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    • 제57권5호
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    • pp.1095-1113
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    • 2020
  • In this paper, we investigate the transcendental meromorphic solutions for the nonlinear differential equations $f^nf^{(k)}+Q_{d_*}(z,f)=R(z)e^{{\alpha}(z)}$ and fnf(k) + Qd(z, f) = p1(z)eα1(z) + p2(z)eα2(z), where $Q_{d_*}(z,f)$ and Qd(z, f) are differential polynomials in f with small functions as coefficients, of degree d* (≤ n - 1) and d (≤ n - 2) respectively, R, p1, p2 are non-vanishing small functions of f, and α, α1, α2 are nonconstant entire functions. In particular, we give out the conditions for ensuring the existence of these kinds of meromorphic solutions and their possible forms of the above equations.