• Title/Summary/Keyword: M/G/m/m

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Odd Harmonious and Strongly Odd Harmonious Graphs

  • Seoud, Mohamed Abdel-Azim;Hafez, Hamdy Mohamed
    • Kyungpook Mathematical Journal
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    • v.58 no.4
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    • pp.747-759
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    • 2018
  • A graph G = (V (G), E(G) of order n = |V (G)| and size m = |E(G)| is said to be odd harmonious if there exists an injection $f:V(G){\rightarrow}\{0,\;1,\;2,\;{\ldots},\;2m-1\}$ such that the induced function $f^*:E(G){\rightarrow}\{1,\;3,\;5,\;{\ldots},\;2m-1\}$ defined by $f^*(uv)=f(u)+f(v)$ is bijection. While a bipartite graph G with partite sets A and B is said to be bigraceful if there exist a pair of injective functions $f_A:A{\rightarrow}\{0,\;1,\;{\ldots},\;m-1\}$ and $f_B:B{\rightarrow}\{0,\;1,\;{\ldots},\;m-1\}$ such that the induced labeling on the edges $f_{E(G)}:E(G){\rightarrow}\{0,\;1,\;{\ldots},\;m-1\}$ defined by $f_{E(G)}(uv)=f_A(u)-f_B(v)$ (with respect to the ordered partition (A, B)), is also injective. In this paper we prove that odd harmonious graphs and bigraceful graphs are equivalent. We also prove that the number of distinct odd harmonious labeled graphs on m edges is m! and the number of distinct strongly odd harmonious labeled graphs on m edges is [m/2]![m/2]!. We prove that the Cartesian product of strongly odd harmonious trees is strongly odd harmonious. We find some new disconnected odd harmonious graphs.

Monitoring the Manufacturing Characteristics of Aloe Gel-State Food (알로에 겔상 식품의 제조특성 모니터링)

  • 이기동;김숙경;권도영;박상렬
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.32 no.1
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    • pp.89-95
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    • 2003
  • Four-dimensional response surface methodology was used for monitoring the manufacturing characteristics of aloe gel-state food. The optimum conditions predicted for each corresponding sensory properties of aloe gel-state food were 87.38 mL (content of aloe juice), 0.16 g (content of konjac) and 0.19 g (content of carrageenan) in coloror of gel-state food, 83.84 mL, 0.17 g and 0.20 g in aroma of aloe gel-state food, 83.20 mL.0.15 g and 0.27 g taste of aloe gel-state food and 98.95 mL, 0.10 g and 0.23 g in texture of aloe gel-state food. Maximum chewiness of aloe gel-state food was in 113.05 mL aloe juice, 0.27 g konjac and 0.21 g carrageenan. The optimum conditions, which satisfied all sensory properties of gel-state food, were 88.23 mL, 0.15 g and 0.49 g in content of aloe juice, content of konjac and content of carrageenan, respectively.

Study on Characteristics of fine Particle (PM10) Concentration in Busan for Five Years (최근 5년간 부산지역의 미세먼지(PM10)농도 특성에 관한 연구)

  • Jeon, Byung-Il;Hwang, Yong-Sik
    • Journal of Environmental Impact Assessment
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    • v.16 no.6
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    • pp.533-542
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    • 2007
  • The general characteristics of fine particle and meteorological analysis of high $PM_{10}$ concentration day which was over $100{\mu}g/m^3$ in busan were investigated for period of 2002 to 2006. Annual mean concentration including Asian dust day was $68.7{\mu}g/m^3$ in 2002, $54.6{\mu}g/m^3$ in 2003, $60.4{\mu}g/m^3$ in 2004, $58.3{\mu}g/m^3$ in 2005 and $58.8{\mu}g/m^3$ in 2006, respectively. Seasonal mean concentration was $73.4{\mu}g/m^3$ in Springtime, $56.8{\mu}g/m^3$ in Summertime, $55.5{\mu}g/m^3$ in Wintertime and $54.4{\mu}g/m^3$ in Falltime, respectively. Mean concentration for land use was 69.2 $37.0{\mu}g/m^3$ in industrial area, 64.2 $35.5{\mu}g/m^3$ in rural area, 62.6 $34.4{\mu}g/m^3$ in commercial area and 55.3 $33.8{\mu}g/m^3$ in residential area, respectively. Frequency of synoptic pattern for high $PM_{10}$ concentration day was 18 days(16.7%) in I type, 27 days(25.0%) in II type, 10 days(9.3%) in III type, 5 days(4.6%) in IV type, 13 days(12.0%) in V type and 29 days (26.9%) in VI type, respectively. Frequency of long range transport sector for high $PM_{10}$ concentration day was 9 days(8.3%) in I type, 64 days(59.5%) in II type, 34 days(31.5%) in III type, 1 days in IV type, 0 days, respectively.

Effect of Houttuynia cordata Extracts on Tyrosinase Gene Expression (어성초(Houttuynia cordata) 추출물이 Tyrosinase유전자 발현에 미치는 효과 -연구노트-)

  • Chin, Jong-Eon;Cho, Nam-Chul
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.34 no.8
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    • pp.1284-1288
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    • 2005
  • The methanol extract of Houttuynia cordata repressed the expression of tyrosinase gene of Bl6 mouse melanoma cell containing tyrosinase promoter. The extract repressed expression of tyrosinase gene by about 13$\%$ and 45$\%$ at 10$\mu$g/mL and 100 $\mu$g/mL, respectively. In the MTT assay, the same extract exhibited very low cytotoxicity at 1$\mu$g/mL, 10$\mu$g/mL, and 100 $\mu$g/mL, respectively. The fractions of ethyl acetate, butyl alcohol, and water did not showed the repressive effect on the expression of tyrosinase gone, but methylene chloride fraction layer repressed highly at 10$\mu$g/mL and 100$\mu$g/mL.

Effect of Charcoal on Germination and Early Growth of Barley Sprouts

  • Salitxay, Timnoy;Kim, Yeon Bok;Chang, Kwang Jin;Kalam, Azad Obyedul;Cho, Dong Ha;Park, Cheol Ho
    • Proceedings of the Plant Resources Society of Korea Conference
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    • 2018.10a
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    • pp.133-133
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    • 2018
  • The aim of this study was to evaluate the effect of charcoal on germination and early growth of barley sprouts. Five treatments were employed based on different amount and treatment method along with control. Barley seeds were soaked in water for 8 hours. Two types of topping treatment were applied such as, charcoal: 100 g (designated as T1) and charcoal: 200 g (T2). Three kinds of mixing treatment were as follows: barley seeds were mixed with 100g of charcoal (designated as M1), with 200g of charcoal (M2), and with 300g of charcoal(M3). The control did not have any charcoal. In our finding, germination rates were observed 53.3% (control), 26.3%(T1), 36.3%(T2), 67.3%(M1), 81.7%(M2), and 79.7%(M3) at three days after inoculation (DAI). Length of radicle was found at 0.90 cm (control), 0.88 cm (T1), 0.99 cm (T2), 1.03cm (M1), 1.66 cm (M2), and 0.70 cm (M3) in 3 DAI. In addition, sprout length was found 4.5 cm (control), 10.4 cm (T1), 11.9 cm (T2), 5.7 cm (M1), 6.3 cm (M2), and 2.1 cm (M3) in 14 DAI. Fresh weight of sprouts were 0.78g (control), 1.03g (T1), 1.07g (T2), 0.96g (M1), 1.07g (M2), and 0.95g (M3). Among the treatment, topping of seeds on 200g of charcoal (T2) showed longest sprout length and fresh weight. Mixing treatments showed higher germination rates and sprout fresh weight. The results may be attributed to difference in micro-climate conditions (mostly temperature and humidity) in the growth boxes in different treatments.

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Seasonal variations of volatile organic compounds (VOCs) in indoor air of daycare centers (보육시설 실내공기 중 휘발성유기화합물(VOCs)의 계절적 농도변화에 대한 연구)

  • Jang, Seong-Ki;Chun, Jae-Young;Kim, Sung-Youn;Park, Suk-Young;Ryu, Jung-Min;Lim, Jung-Yeon;Lee, Woo-Suk
    • Analytical Science and Technology
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    • v.20 no.6
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    • pp.474-482
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    • 2007
  • Daycare centers are an important indoor environment for pre-school children and exposure area with potential harmful health effects for infants and children who spend most of their daily life. Sampling was undertaken at 29 daycare centers located Seoul in Korea from January, 2006 to December 2006. The target compounds were 7 individual volatile organic compounds (benzene, toluene, ethylbenzene, m,p-xylene, styrene, o-xylene, TVOC). The mean concentrations of TVOC, toluene, m ,p-xylene, ethylbenzene, benzene and styrene in daycare centers were $318.7{\mu}g/m^3$, $51.6{\mu}g/m^3$, $11.7{\mu}g/m^3$, $6.5{\mu}g/m^3$, $4.2{\mu}g/m^3$, $3.6{\mu}g/m^3$, respectively. Toluene occupied 17.6 % of the concentration of individual VOCs. The ratio of indoor and outdoor (I/O) of TVOC and toluene were 2.0 and 1.6, respectively. The results of characteristics according to a season of a year, the concentration of TVOC were measured $433.9{\mu}g/m^3$, and these concentrations during third quarter of the year in summer were higher than the other season. In the other four seasons, TVOC were measured 280.5 in winter, 298.3 in spring and $264.6{\mu}g/m^3$ in fall, respectively.

A Study on the Mathematical Model of Cell Growth by Carrot Cell Suspension Culture (당근세포의 현탁배양에 의한 세포성장 모델연구)

  • 채보희;허병기
    • KSBB Journal
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    • v.4 no.3
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    • pp.259-265
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    • 1989
  • In a batch fermentation process using carrot cell suspension culture, the effect of initial concentration of limiting nutrients(glucose and phosphate) on the specific growth rate and cell yield was investigated. The period of exponential growth is about 2 days and the consumption of glucose and phosphate in culture medium was very small when the initial concentrations of glucose and phosphate are 1.49g/1 ~ 3.01g/l and 0.08 ~ 0.32mM respectively. The specific growth rate of cells ranged from TEX>$0.15\;day^{-1}$ to $0.3\;day^{-1}$ irregularly. And the ratio of the initial concentration of glucose to phosphate did not affect the specific growth rate and the cell yield. The increase on cells had linear relationship with the consumption of limiting nutrients. Therefore, the increase of cells was found to be more influenced by the concentration of glucose than that of phosphate.

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Biological Activities of Methanol Extracts from Green Tea Seed (녹차종자 메탄올추출물의 생리활성)

  • Yang, Hee-Sun;Kim, Jae-Yong;Kim, Hong-Chul;Nou, Ill-Sup;Seo, Kwon-Il
    • Food Science and Preservation
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    • v.13 no.6
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    • pp.769-773
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    • 2006
  • This study was to investigate the biological activities of green tea seed methanol extract (GTSME) and compared those of green tea methanol extract (GTME) for using green tea seed as the functional food material. The hydrogen-donating activity of GTSME was over 50% at the $100 {\mu}g/mL$ concentration the activity of GTME was 21.86% at the $1000{\mu}g/mL$ concentration compared with that of control. The MDA (malondialdehyde) production was 60 Mol/g and 50 Mol/g in the mouse liver homogenate teated with GTME and GTSME of $1000{\mu}g/mL$ concentrations, respectively, and the values were lower than 86 Mol/g of control. GTME and GTSME of $1000{\mu}g/mL$ concentration inhibited the proliferation of over 50% and over 20% in A549 and SW480 human cancer cells, respectively. The morphology transformation was shown in the cancer cells treated with GTSME of $500{\mu}g/mL$ with the decrease of cell numbers lower than that of control cells numbers. The NO production was increased in a dose dependent manner in the RAW264.7 macrophage cells treated with GTME and GTSME of 1, 10, 100 and $1000{\mu}g/mL$ concentrations, and the NO production by GTSME was $2.04{\mu}M$ at $100{\mu}g/mL$ concentration, and the value was higher than $0.77{\mu}M$ by GTME.

Physicochemical properties and antioxidant activities of hot water extracts from medicinal fruit mixture (약용열매 혼합 열수 추출물의 이화학적 특성 및 항산화 활성)

  • Gu, Yul-Ri;Park, Hye-Mi;Jeong, Yoo Seok;Jung, Hee Kyoung;Yun, Jeong Hyun;Hong, Joo-Heon
    • Food Science and Preservation
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    • v.23 no.2
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    • pp.267-274
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    • 2016
  • This study was conducted to examine the physicochemical properties and antioxidant activities of medicinal fruit extracts (Corni fructus, Schizandra chinensis, Rubus coreanus Miquel and Lycii folium) with different extraction mixing ratios (MS, an equal ratio of the medicinal fruit = 1.25:1.25:1.25:1.25; M1, 2:1:1:1; M2, 1:2:1:1; M3, 1:1:2:1 and M4, 1:1:1:2) from medicinal fruit. pH, sugar content and acidity of the extracts were 3.22~3.52, $3.20{\sim}4.20^{\circ}Brix$ and 3.60~5.85%, respectively. The extraction yield of M2 (42.33%) was higher than those of MS (36.03%), M1 (40.40%), M3 (32.53%) and M4 (35.90%). The total polyphenol and flavonoid contents of M3 were 14.54 g/100 g and 5.65 g/100 g, respectively. The DPPH and ABTS radical scavenging activities of M3 at $1,000{\mu}g/mL$ were 86.09% and 90.49%, respectively. The ferric-reducing antioxidant power and the reducing power of M3 at $250{\sim}1,000{\mu}g/mL$ were $0.36{\sim}0.86{\mu}M$ and 0.21~0.96, respectively. The antioxidant activities of M3 were significantly higher than those of the other extracts. In conclusion, this study demonstrated that medicinal fruit extracts had potential as a functional material.

Effect of administration with fat-free diet and dietary iron on polyunsaturated fatty acid, vitamin E and their derivatives in male rats (Rat에 있어서 탈지사료 및 철분투여가 다불포화 지방산, vitamin E 및 그 유도체에 미치는 영향)

  • Huh, Rhin-sou;Kim, Young-hong;Kim, Sung-hoon;Do, Jae-cheul;Lee, Young-ho;Choi, Yeon-shik
    • Korean Journal of Veterinary Research
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    • v.30 no.4
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    • pp.407-412
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    • 1990
  • This study was designed to elucidate the effects of administration with dietary iron and fat-free diet on the contents of unsaturated fatty acid in phospholipid molecules, vitamin E contents and malondialdehyde contents in liver, kidney, muscle and testis of the male rats. The rats were divided into 3 experimental groups, namely, control, iron injection and fat-free diet administration groups. The control group was fed with normal diet, iron injection group injected intraperitoneally 20mg of ferric hydroxide/100g of body weight 20 times every 3 days and fat-free diet group administered lipid extraction diet with hexane in normal diet. All experimental groups were maintained for 60 days with feeding on the respective ration. The results obtained were summarized as follows: 1. In the mean contents of unsaturated fatty acid in phospholipid of liver, kidney, muscle and testis among groups, control group was 21.31mg/g, 19.38mg/g, 1.67mg/g, 13.68mg/g, iron injection group was 13.83mg/g, 16.53mg/g, 0.71mg/g, 10.11mg/g and fat-free diet group was 21.07mg/g, 19.38mg/g, 1.49mg/g and 13.40mg/g, respectively. 2. In the mean contents of vitamin E in liver, kidney, muscle and testis among groups, control group was 6.77mg/g, 1.93mg/g, 0.12mg/g, 0.17mg/g, iron injection group was 3.16mg/g, 0.86mg/g, 0.07mg/g, 0.09mg/g and fat-free diet group was 7.41mg/g, 1.50mg/g, 0.11mg/g and 0.16mg/g, respectively. 3. In the mean contents of malondialdehyde in liver, kidney, muscle, testis and serum among groups, control group was 11.29nM/0.1g, 23.25nM/0.1g, 42.47nM/0.1g, 7.01nM/0.1g, 4.33nM/ml, iron injection group was 34.98nM/0.1g, 40.55nM/0.1g, 72.21nM/0.1g, 12.26nM/0.1g, 11.27nM/ml and fat-free diet group was 8.07nM/0.1g, 20.63nM/0.1g, 39.92nM/0.1g, 6.95nM/0.1g and 4.27nM/ml, respectively.

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