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NEIGHBORHOOD CONDITION AND FRACTIONAL f-FACTORS IN GRAPHS

  • Liu, Hongxia;Liu, Guizhen
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1157-1163
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    • 2009
  • Let G be a graph with vertex set V(G) and let f be a nonnegative integer-valued function defined on V(G). A spanning subgraph F of G is called a fractional f-factor if $d^h_G$(x)=f(x) for all x $\in$ for all x $\in$ V (G), where $d^h_G$ (x) = ${\Sigma}_{e{\in}E_x}$ h(e) is the fractional degree of x $\in$ V(F) with $E_x$ = {e : e = xy $\in$ E|G|}. In this paper it is proved that if ${\delta}(G){\geq}{\frac{b^2(k-1)}{a}},\;n>\frac{(a+b)(k(a+b)-2)}{a}$ and $|N_G(x_1){\cup}N_G(x_2){\cup}{\cdots}{\cup}N_G(x_k)|{\geq}\frac{bn}{a+b}$ for any independent subset ${x_1,x_2,...,x_k}$ of V(G), then G has a fractional f-factor. Where k $\geq$ 2 be a positive integer not larger than the independence number of G, a and b are integers such that 1 $\leq$ a $\leq$ f(x) $\leq$ b for every x $\in$ V(G). Furthermore, we show that the result is best possible in some sense.

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A study of handover for dynamic QoS in B3G networks (B3G 네트워크에서 동적 QoS를 위한 핸드오버 연구)

  • Park, Sang-Joon;Lee, Jong-Chan
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.3
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    • pp.1373-1379
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    • 2011
  • The SLA (Service Level Agreement) is once determined between service provider and users in B3G networks so that the network service must be provided as QoS management. Here, the network situation is changed as the time flow, and the service environment is also altered. Hence, dynamic QoS management scheme should be considered. In this paper, we propose a handover scheme for dyanamic QoS as the network situation in B3G networks. The heterogeneous networks can be used for dynamic QoS management in B3G networks.

A Study on the Concentration of Aflatoxin B1 in Granule and Globular Types of Herbal Medicines (엑스과립과 환으로 만들어진 한방생약제제의 aflatoxin B1 연구)

  • Bae, Jong-Sup;Kim, Yong-Ung;Park, Moon-Ki
    • Journal of Environmental Science International
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    • v.19 no.2
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    • pp.209-215
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    • 2010
  • This study is an endeavor to evaluate the risk assessment of hazardous(aflatoxin $B_1$) in medicines from oriental medical prescription which are circulated much recently. For that, twelve globular and granule types, seven liquid types of herbal medicine were bought to compare and analyze the content of aflatoxin aflatoxin B_1), which are harmful to human body. Woo Hwang Cheong Sim Hwan of Aflatoxin $B_1$ concentration lower than the standard accepted by all the products have been detected, B company(tradition) is the concentration of $1.24\;{\mu}g/kg$, C company $1.04\;{\mu}g/kg$, A company(tradition) and B company did not detect. And the general pill of aflatoxin B1 concentration lower than the standard accepted by all the products have been detected, S-1 is the concentration of $1.8\;{\mu}g/kg$, S-2 of $1.04\;{\mu}g/kg$, S-3 of $0.88\;{\mu}g/kg$, S-4 of $9.32\l\;{\mu}g/kg$, S-6 of $7.8\;{\mu}g/kg$, S-5 did not detect. All the products eundan allowed in the concentration of aflatoxin $B_1$ levels were lower than detection, D company of $0.96\;{\mu}g/kg$, E company concentration was not detected. The liquid product of aflatoxin $B_1$ concentration was found liwer than the standard accepted by all the product, L-3 concentration of $0.8\;{\mu}g/kg$, K-4 was detected in the $1.16\;{\mu}g/kg$, L-1 and L-2 is not detected, L-5 concentration of $15\;{\mu}g/kg$, L-7 is detected as $1.08\;{\mu}g/kg$ and, L-6 was not detected.

Nutrients Analysis of Mistletoe Cultivated on Prunus mume (매실나무(Prunus mume)를 기주로 한 인공재배 겨우살이의 일반성분분석)

  • Heo, Jeong Won;Azad, Md Obyedul Kalam;Park, Cheol Ho
    • Proceedings of the Plant Resources Society of Korea Conference
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    • 2018.04a
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    • pp.73-73
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    • 2018
  • 최근 매실나무를 기주로 한 겨우살이의 인공재배에 성공함에 따라, 식품 소재로 이용하기 위해 일반성분을 분석하였다. 경기도 남양주시에서 매실나무를 기주로 한 인공재배 겨우살이를 채취하여 동결건조한 후 수분, 조단백질, 조지방, 회분, 탄수화물, 베타카로틴, 비타민 B1, 비타민 B2, 비타민 B3, 비타민C, Ca, Fe, K, Na 그리고 P의 함량을 분석하였다. 조단백질, 조지방, 회분, 베타카로틴, Ca, Fe, K, Na 그리고 P은 AOAC 방법을 이용하여 분석하였고, 탄수화물은 탄수화물(%) = 100 - (조단백질% + 조지방% + 회분% + 수분%) 계산식을 활용하여 산출하였다. 수분, 비타민 B1, 비타민 B2, 비타민 B3, 비타민 C는 식품공전에 제시된 방법에 따라 분석하였다. 동결건조한 매실나무겨우살이의 일반성분은 탄수화물 58.90%, 단백질 22.36%, 회분 11.11%, 지방 5.37%, 수분 2.26% 순으로 함유하였다. 비타민의 함량은 비타민 C 4.78mg/100g, 나이아신 1.87mg/100g, 비타민 A 1.42mg/100g, 비타민 B2 0.73mg/100g 그리고 비타민 B1 0.30 mg/100g의 순서로 많이 함유하였다. 무기질은 K 3141.54mg/100g, Ca 977.77mg/100g, P 309.91 mg/100g, Na 20.13mg/100g 그리고 Fe 8,24mg/100g의 순서로 많이 함유하였다.

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RECOGNITION OF STRONGLY CONNECTED COMPONENTS BY THE LOCATION OF NONZERO ELEMENTS OCCURRING IN C(G) = (D - A(G))-1

  • Kim, Koon-Chan;Kang, Young-Yug
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.125-135
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    • 2004
  • One of the intriguing and fundamental algorithmic graph problems is the computation of the strongly connected components of a directed graph G. In this paper we first introduce a simple procedure for determining the location of the nonzero elements occurring in $B^{-1}$ without fully inverting B, where EB\;{\equiv}\;(b_{ij)\;and\;B^T$ are diagonally dominant matrices with $b_{ii}\;>\;0$ for all i and $b_{ij}\;{\leq}\;0$, for $i\;{\neq}\;j$, and then, as an application, show that all of the strongly connected components of a directed graph G can be recognized by the location of the nonzero elements occurring in the matrix $C(G)\;=\;(D\;-\;A(G))^{-1}$. Here A(G) is an adjacency matrix of G and D is an arbitrary scalar matrix such that (D - A(G)) becomes a diagonally dominant matrix.

The Study of anti-inflammatory Mechanism with Cobra Venom on Astrocytes of Rats (뇌(腦) 성상세포(星狀細胞)를 대상으로 한 Cobrotoxin의 염증(炎症) 치료(治療) 기전(機轉) 연구(硏究))

  • Yoo, Jae-ryong;Song, Ho-sueb
    • Journal of Acupuncture Research
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    • v.22 no.3
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    • pp.155-167
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    • 2005
  • Objectives : The purpose of this study was to investigate the anti-inflammatory effect of Cobrotoxin on binding affinity of cobrotoxin with P50, $IKK{\alpa}$ and $IKK{\beta}$, activities of NF-${\kappa}B$, Cell viability of astrocyte, expressions of protein molecules of NF-${\kappa}B$ such as P50, P-$1{kappa}B$, $1{\kappa}B$ and iflammation related genes such as Cox-2, iNOS, cPLA2 in the SNP or LPS induced Inflammatory pathway of Rats' astrocytes. Methods : In this study, The expression of cytosolic phospholipase A2, Nitric oxcide, Cyclooxygenase-2 and inducible nitrogen oxide synthase was determined by western blotting with corresponding antibodies, and the generation of NF-${\kappa}B$ was assayed by EMSA method in astrocytes of rats. The Cell viability of astrocytes was determined by MTT assay, and Binding affinity of Cobrotoxin with P50, $IKK{\alpha}$ and $IKK{\beta}$ was assayed by Surface plasmon resonance analysis, and NF-${\kappa}B$ dependent luciferase activity was determined by luciferase analysis, and Uptake of cobrotoxin in astrocytes was identified by Confocal laser scanning microscope Results : 1. Compared with control, LPS-induced NF-${\kappa}B$ DNA binding activity was decreased significantly by 0.1, $0.5{\mu}g/m{\ell}$ of Cobrotoxin in Astrocyte. 2. Compared with control, LPS-induced NF-kB dependent luciferase expression was decreased significantly by 0.1, 0.5 and $1{\mu}g/m{\ell}$ of Cobrotoxin in Astrocyte. 3. Compared with control, SNP induced P50, $I{\kappa}B$ expressions in astrocyte were decreased significantly by 0.1, 0.5 and $1{\mu}g/m{\ell}$ of Cobrotoxin and P-$1{\kappa}B$ expression was decreased significantly by 0.5 and $1{\mu}g/m{\ell}$ of Cobrotoxin. 4. Compared with control, LPS induced P50, $1{\kappa}B$ expressions in astrocyte were decreased significantly by 0.5 and $1{\mu}g/m{\ell}$ of Cobrotoxin. 5. Compared with control, SNP induced Cox-2, iNOS, CPLA2 expressions in astrocyte were decreased significantly by $1{\mu}g/m{\ell}$ of Cobrotoxin. 6. Compared with control, LPS induced Cox-2, cPLA2 expressions in astrocyte were decreased significantly by 0.1, 0.5, $1{\mu}g/m{\ell}$ of Cobrotoxin and iNOS expression was decreased significantly by 0.5, $1{\mu}g/m{\ell}$ of Cobrotoxin. 7. Compared with $0.5{\mu}g/m{\ell}$ of Cobrotoxin, SNP-induced NF-${\kappa}B$ DNA bindins activity in astrocyte was increased significantly by Cobrotoxin $0.5{\mu}g/m{\ell}$ with DTT 1mM and Cobrotoxin $0.5{\mu}g/m{\ell}$ with DTT 5mM. 8. Compared with $0.5{\mu}g/m{\ell}$ of Cobrotoxin, LPS-induced NF-${\kappa}B$ DNA binding activity in astrocyte was increased significantly by Cobrotoxin $0.5{\mu}g/m{\ell}$ with DTT 1mM, Cobrotoxin $0.5{\mu}g/m{\ell}$ with DTT 5mM, Cobrotoxin $0.5{\mu}g/m{\ell}$with GSH 1mM and Cobrotoxin $0.5{\mu}g/m{\ell}$ with GSH 5mM 9. Compared with $0.1{\mu}g/m{\ell}$ of cobrotoxin, SNP induced P50 expressions in astrocyte were increased significantly by Cobrotoxin $0.5{\mu}g/m{\ell}$ with DTT 1mM, Cobrotoxin $0.5{\mu}g/m{\ell}$ with DTT 5mM Cobrotoxin $0.5{\mu}g/m{\ell}$ with GSH 1mM and Cobrotoxin $0.5{\mu}g/m{\ell}$ with GSH 5mM. 10. The uptake of the labeled cobrotoxin into the cells was shown under a confocal laser scanning microscope. cobrotoxin was uptaken into the membrane and nucleus of astrocytes. Conclusions : In summary, the present results demonstrate that cobrotoxin directly binds to sulfhydryl group of p50 and IKKS resulting In the reduction of translocation of p50 and IkB release, thereby inhibits activation of NF-${\kappa}B$, and suggest that pico to nanomolar range of cobrotoxin could inhibit the expression of genes in the NF-${\kappa}B$ signal pathway.

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DFT Calculation on the Electron Affinity of Polychlorinated Dibenzo-p-dioxins

  • Lee, Jung-Eun;Choi, Won-Yong;Mhin, Byung-Jin
    • Bulletin of the Korean Chemical Society
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    • v.24 no.6
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    • pp.792-796
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    • 2003
  • Polychlorinated dibenzo-p-dioxins (PCDDs) are extremely toxic and persistent environmental pollutants. Their chemical reactivities and other physicochemical/biological properties show a strong dependence on the chlorination pattern. With increasing the number of chlorines, dioxin congeners become more electronegative and gain higher electron affinities. The vertical electron affinities (VEA) are related with the LUMO energies of neutral molecules. LUMO energies of all PCDD congeners were calculated at the B3LYP/6-31G** level and those of some selected congeners at the level of B3LYP/6-311G**//B3LYP/6-31G** and B3LYP/cc-pvtz/ /B3LYP/6-31G**. The total energies of neutral and anionic species for dibenzo-p-dioxins (DD), 1469-TCDD, 2378-TCDD, and OCDD were calculated at the level of B3LYP/6-31G**, B3LYP/aug-cc-pvdz, and B3LYP/ aug-cc-pvtz//B3LYP/6-31G**. By using the four congeners with D2h symmetry as reference molecules, we could estimate VEA (B3LYP/aug-cc-pvdz) of 75 PCDD congeners based on the linear correlations between LUMO energy and VEA (B3LYP/6-31G**) and between VEA (B3LYP/6-31G**) and VEA (B3LYP/aug-ccpvtz// B3LYP/6-31G**). Results show that all PCDDs with the number of Cl ≥ 3 have positive electron affinities. The PCDD electron affinity values provided in this work can be a useful data set in understanding the congener-specific reactivities of dioxins in various environmental media.

Quality Properties of Cooked Germinated-brown Rice (유통중인 발아현미밥의 품질특성)

  • Park, Jong-Dae;Cho, Bong-Kyu;Kum, Jun-Seok;Lee, Hyun-Yu
    • Food Science and Preservation
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    • v.12 no.2
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    • pp.101-106
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    • 2005
  • This study was carried rut to investigate the quality properties of two cocked germinated-brown rices(A- and B-product). Color value of A- and B-product were L=68.46, a=0.92, b=9.49 and L=69.32, a=-1.10, b=9.77, respectively. Moisture content of those was $64.5\%$. The free sugar contents of A-product were $0.2\%$ glucose, $0.15\%$ sucrose, $0.18\%$ maltose, and those of B-product were $0.14\%$ glurose, $0.50\%$ sucrose, $0.17\%$ maltose, respectively. Vitamin E content in A-product was $30.7\;{\mu}g\;100\;g$ and $46.9\;{\mu}g\;100\;g$ in B-product. Total dietary fiber contents were $2.8\%$, and $2.2\%$, respectively. The DSC(differential scanning calorimetry) characteristics of two cooked germinated-brown rices showed similar pattern. Onset temperature and gelatinization enthalpy of peak 1 were $56.5^{\circ}C$, 5.46 J/g in A-product and $56.2^{\circ}C$, 5.56 J/g in B-product, respectively. Onset temperature and melting enthalpy of peak 2 were $109.5^{\circ}C$, 0.33 J/g in A-product and $108.9^{\circ}C$, 0.37 J/g in B-product, respective1y. Sensory properties of cocked germinated-brown rices were affected by appearance, taste and texture. Palatability score of B-product was higher than that of A-product.

Determination of several families of antibacterial agent residues in fish by disk assay (미생물학적 방법에 의한 어체내 잔류 항균물질의 계열별 동정시험)

  • Jung, Sung-Hee;Kim, Jin-Woo
    • Journal of fish pathology
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    • v.10 no.2
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    • pp.125-135
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    • 1997
  • The possibility of identification of families of antibacterial agent residues in fish tissue was studied by disk assay using three test organisms, Bacillus subtilis BGA, Micrococcus luteus ATCC 9341, and Bacillus cereus var. mycoides ATCC 11778. In the present method, a simple clean-up procedure was performed to obtain the aqueous solution from homogenized flounder muscle sample(10g) in Mcilvaine buffer. Then, aqueous solution was fractionated into A and B to be used in disk assay by choloroform and Sep-Pak $C_{18}$ cartridge column after being defatted in hexane. The chloroform layer of fraction A was used for the analysis of macrolide antibiotics(ML), sulfa drugs(SA), chloramphenicol(CP), and quinolone antibiotics(QN). Adsorbed materials to Sep-Pak $C_{18}$ of fraction B were also employed for the analysis of penicillins(PC), tetracyclines(TC), and nitrofuran derivatives(NF) Minimun-detectable concentrations by the present method were, $0.1{\mu}g$/g for oxytetracycline, tetracycline, doxycycline, spiramycin and ciprofloxacin, $0.025{\mu}g$/g for erythromycin and ampicillin, $1.0{\mu}g$/g for sodium nifurstyrenate and florfenical, $0.25{\mu}g$/g for sulfamonomethoxie and sulfadimethoxine, $2.5{\mu}g$/g for oxolinic acid and flumequine, and $15{\mu}g$/g for piromidic acid, respectively. Three test organisms showed different sensitivity patterns for each family of antibacterial agent. Sensitivity patterns were B. cereus > B. subtilis > M. luteus for TC and NF, M. luteus > B, subtilis > B. cereus for ML and PC, B. cereus = B. subtilis > M. luteus for CP and QN, and B. subtilis > B. cereus=M. luteus for SA. The present method utilizing these characteristics could be useful as a routine screening test for the determination of family of antibacterial agent residues in fish tissue.

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Ultraviolet (UV)-B Irradiation Increased Vitamin D2 Contents in the Fruit Bodies of Pleurotus eryngii var. ferulae (자외선(UV)-B 조사에 의한 아위느타리버섯(Pleurotus eryngii var. ferulae) 자실체의 비타민 D2 함량 증가)

  • Rho, Jae-Young;Park, Sang-Don
    • Korean Journal of Microbiology
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    • v.49 no.2
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    • pp.191-194
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    • 2013
  • The fresh fruit bodies of Pleurotus eryngii var. ferulae was irradiated with ultraviolet (UV)-B (280-320 nm) in order to increase vitamin $D_2$ contents, which was assayed using HPLC (Waters 1525, USA). The vitamin $D_2$ contents were $3.5{\mu}g/g$ after 3 min UV-B irradiation ($21.6KJ/m^2$) and $6.02{\mu}g/g$ after 5 min UV-B irradiation ($36KJ/m^2$), respectively, which showed the significant increase considering the vitamin $D_2$ content ($0.01{\mu}g/g$) before UV-B irradiation. This increasing effect was confirmed also for other edible mushrooms; Pleurotus eryngii, from $0.09{\mu}g/g$ to $2.75{\mu}g/g$ (3 min) and $5.21{\mu}g/g$ (5 min); Lentinus edodes, from $0.021{\mu}g/g$ to $3.02{\mu}g/g$ (3 min) and $3.78{\mu}g/g$ (5 min); Pleurotus ostreatus, from $0.19{\mu}g/g$ to $9.63{\mu}g/g$ (3 min) and $11.6{\mu}g/g$ (5 min). Although the original content of vitamin $D_2$ was the highest in P. ostreatus, the extent of increase by UV irradiation was remarkably high in P. eryngii var. ferulae.