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GROUP S3 CORDIAL REMAINDER LABELING OF SUBDIVISION OF GRAPHS

  • LOURDUSAMY, A.;WENCY, S. JENIFER;PATRICK, F.
    • Journal of applied mathematics & informatics
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    • v.38 no.3_4
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    • pp.221-238
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    • 2020
  • Let G = (V (G), E(G)) be a graph and let g : V (G) → S3 be a function. For each edge xy assign the label r where r is the remainder when o(g(x)) is divided by o(g(y)) or o(g(y)) is divided by o(g(x)) according as o(g(x)) ≥ o(g(y)) or o(g(y)) ≥ o(g(x)). The function g is called a group S3 cordial remainder labeling of G if |vg(i)-vg(j)| ≤ 1 and |eg(1)-eg(0)| ≤ 1, where vg(j) denotes the number of vertices labeled with j and eg(i) denotes the number of edges labeled with i (i = 0, 1). A graph G which admits a group S3 cordial remainder labeling is called a group S3 cordial remainder graph. In this paper, we prove that subdivision of graphs admit a group S3 cordial remainder labeling.

The Study on Index of Greeness in Streets of Seoul by Using Automatic Measurement Techniques (자동 계측 기법을 이용한 서울 주요 가로의 녹시율 분석)

  • Nam, Chang Jin;Bang, Jae Sung;Jang, Dae Hee
    • KIEAE Journal
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    • v.12 no.2
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    • pp.93-101
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    • 2012
  • In this study, we measured the Index of Greeness(I.O.G) and analyzed factors that affect in downtown street of Seoul. The aim of this article is to provide an ways of improving I.O.G, with an emphasis on accuracy of measurement. We utilized the autimatic measurment techniques proposed by Tonosaki to solve the problem of accuracy in measurement. The result is as follows : Firstly, the average I.O.G of Gwanghwamun Plaza is 15.76%, Jongno is 11.48% and Dasanro(from Yaksu station to Beotigogae station) is 6.36%. According to the comprehensive analysis in three reseach areas, it shows that I.O.G is intimately linked with planting method, species of trees and the presence of wall planting. Secondly, it was analyzed that grass and ground-cover planting promote I.O.G better than other method. The I.O.G of photo which contains grass is 45.47%. According to the comparative analysis between tree planting and multi-planting method, the presence of lower planting showed a difference about 8.77% of I.O.G.. From the persipective of I.O.G, tree planting with two lines is more effective than one. The difference of two ways is about 3.24%. Thirdly, it is an efficint way to use the wall planting or vertical planting in order to promote I.O.G.. In Dasanro, The I.O.G of photo which contains wall planting or vertical planting is 45.47% in contrast to the average of I.O.G. is 6.36%. Fourthly, the difference of I.O.G between broadleaf tree and needleleaf tree was larger than we thought. If look closely confined to this study, the I.O.G of street planted by Pine is 3.61% and Eastern Sycamore Family Bottonwood is 12.55%.

Association between the C.O.G and E.O.G for Dynamic Postural Control of the Left Turn Motion on the Balance Beam (평균대 좌측 턴 동작시 동적 자세 조절에 미치는 C.O.G와 E.O.G 관계)

  • So, Jae-Moo;Kim, Yoon-Ji;Kim, Jae-Jung
    • Korean Journal of Applied Biomechanics
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    • v.19 no.1
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    • pp.49-58
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    • 2009
  • This study aims to analyze the association between the center of mass(C.O.G) and ocular movement(E.O.G) according to the success and failure in the left turn motion on the balance beam, targeting three female gymnasts. When successful, the left-right C.O.G was moved to the left, which was a rotational direction until such time as the body rotated $180^{\circ}$, whereas there appeared to be a greater movement during failure; thus, it was shown to affect the maintenance of dynamic postural control. In case of the subsequent left-right turning motion of E.O.G, this matches the previous theory that the eyeball moves against the direction of rotation of the body. However, there was a difference at the time of movement, and a clear difference emerged in the success and failure in this study. Also, in the E.O.G in the up-down direction, a movement during failure showed a pattern of down direction in most cases; thus, it is deemed to affect the failure. Therefore, the kinetic postural control and E.O.G are supposed to affect the success and failure in a landing, which is the most importantly evaluated movement on the balance beam, in mutual association.

GROUP S3 CORDIAL REMAINDER LABELING FOR PATH AND CYCLE RELATED GRAPHS

  • LOURDUSAMY, A.;WENCY, S. JENIFER;PATRICK, F.
    • Journal of applied mathematics & informatics
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    • v.39 no.1_2
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    • pp.223-237
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    • 2021
  • Let G = (V (G), E(G)) be a graph and let g : V (G) → S3 be a function. For each edge xy assign the label r where r is the remainder when o(g(x)) is divided by o(g(y)) or o(g(y)) is divided by o(g(x)) according as o(g(x)) ≥ o(g(y)) or o(g(y)) ≥ o(g(x)). The function g is called a group S3 cordial remainder labeling of G if |vg(i)-vg(j)| ≤ 1 and |eg(1)-eg(0)| ≤ 1, where vg(j) denotes the number of vertices labeled with j and eg(i) denotes the number of edges labeled with i (i = 0, 1). A graph G which admits a group S3 cordial remainder labeling is called a group S3 cordial remainder graph. In this paper, we prove that square of the path, duplication of a vertex by a new edge in path and cycle graphs, duplication of an edge by a new vertex in path and cycle graphs and total graph of cycle and path graphs admit a group S3 cordial remainder labeling.

Growth and substance transfer effect of Pleurotus cornucopiae by low concentration treatments of selenium(I) (저농도 셀레늄 처리가 노랑느타리버섯(Pleurotus cornucopiae) 생육과 물질전이에 미치는 영향(I))

  • Chang, Hyun-You;Chung, Ki-Chul;Jang, In-Ja
    • Journal of Mushroom
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    • v.3 no.2
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    • pp.79-84
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    • 2005
  • The research for incubation period, mycelial density, day required for primordial formation after inoculation(below DPI), number of valid stipes, individual weight and accumulation amounts of organic selenium for P. cornucopiae by treating 100, 200, 300, 400, 500(${\mu}g/50g$) of $Na_2SeO_3$ is following. Incubation periods of P. cornucopiae are 20~23 days per each low concentration treatment with $Na_2SeO_3$. Compared to the control which took 22 days of incubation period, it is reduced 1 or 2 days. Mycelial density of P. cornucopiae treated with $Na_2SeO_3$ between 100 and $500{\mu}g/50g$ is very compact. DPI of P. cornucopiae treated with $Na_2SeO_3$ between 100 and $400{\mu}g/50g$ was reduced 1 or 2days, but $500{\mu}g/50g$ was increased 1 day. Number of valid stipes of P. cornucopiae treated with $Na_2SeO_3$ between 100 and $400{\mu}g/50g$ is between 19 and 20. It was increased 1 or 2, as compared to 18 of control, but $500{\mu}g/50g$ was reduced to 1. Individual weight of P. cornucopiae treated with $Na_2SeO_3$ between 100 and $400{\mu}g/50g$ was between 129 and 138g/850cc. It was increased 4.9~12.2% as compared to 123g/850cc of the control but $500{\mu}g/50g$ was 122g/50g. Accumulation amount of organic selenium for P. cornucopiae treated with $Na_2SeO_3$ between 100 and $500{\mu}g/50g$ was $2.73{\sim}8.19{\mu}g/g/dry$. It was increased 55~164 times as the concentration increased when compared to $0.05{\mu}g/g/dry$ of the control. In conclusion, incubation period, mycelial density, DPI, number of valid stipes, individual weight and accumulation amounts of organic selenium for P. cornucopiae by treating 100, ${\sim}400{\mu}g$ of $Na_2SeO_3$ was increased, but $500{\mu}g/50g$ was reduced. So more than $500{\mu}g/50g$ concentration treatments are required research.

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Effects of Kyungohkgo(Qióng yù gào) on Growth and Learning Ability in Growth Deficiency Rat with Insufficient Nutrition Diet (경옥고(瓊玉膏)가 영양소 결핍으로 유도한 성장장애 흰쥐의 성장 및 학습효과에 미치는 영향)

  • Han, Seok-Hoon;Cha, Yun-Yeop;Lee, Eun
    • Journal of Korean Medicine Rehabilitation
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    • v.18 no.2
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    • pp.97-109
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    • 2008
  • Objectives : Effects of Kyungohkgo($Qi{\acute{o}}ng\;y{\grave{u}}\;g{\grave{a}}o$) on intellectual development and learning ability were investigated growth and intellectual impairment rat with insufficient nutrition diet. Methods : We divided male Sprague-Dawley rats into 4 groups(A, B, C, D). They were normal group(A), growth deficiency rat with insufficient nutrition diet group(B), growth deficiency rat with 0.1% Kyungohkgo($Qi{\acute{o}}ng\;y{\grave{u}}\;g{\grave{a}}o$) group(C) and growth deficiency rat with 0.2% Kyungohkgo($Qi{\acute{o}}ng\;y{\grave{u}}\;g{\grave{a}}o$) group(D). They were administered for 5 weeks. We measured body weight, serum growth hormone, insulin-like growth factor and thyroid stimulating hormone, RBC, concentration of Hb and PCV ratio, total WBC and its composition, the values of plasma glutamic oxaloacetic transaminase(GOT) and glutamic pyruvic transaminase(GPT) activities and morris water maze test in escape distance, escape time and escape speed. Results : 1. Body weight showed a tendency to increase in the Kyungohkgo($Qi{\acute{o}}ng\;y{\grave{u}}\;g{\grave{a}}o$) groups and 0.2% Kyungohkgo($Qi{\acute{o}}ng\;y{\grave{u}}\;g{\grave{a}}o$) group showed significantly different than control groups. 2. Serum growth hormone, insulin-like growth factor and thyroid stimulating hormone showed a tendency to increase in Kyungohkgo($Qi{\acute{o}}ng\;y{\grave{u}}\;g{\grave{a}}o$) groups, however these values showed no significantly different. 3. About the counts of RBC, 0.1% and 0.2% Kyungohkgo($Qi{\acute{o}}ng\;y{\grave{u}}\;g{\grave{a}}o$) groups showed significantly different than control groups. Concentration of Hb was higher than control group in Kyungohkgo($Qi{\acute{o}}ng\;y{\grave{u}}\;g{\grave{a}}o$) groups. And 0.2% Kyungohkgo($Qi{\acute{o}}ng\;y{\grave{u}}\;g{\grave{a}}o$) group showed significantly different than control groups in PCV ratio. 4. The counts of total WBC and its composition showed no significantly different in all treatment groups. 5. The values of plasma glutamic oxaloacetic transaminase(GOT) and glutamic pyruvic transaminase(GPT) activities showed no significantly different in all treatment groups. 6. In the morris water maze test, in escape distance and escape speed, Kyungohkgo($Qi{\acute{o}}ng\;y{\grave{u}}\;g{\grave{a}}o$) groups showed no significantly different than control group. But Kyungohkgo($Qi{\acute{o}}ng\;y{\grave{u}}\;g{\grave{a}}o$) groups showed the increasing tendency. Conclusions : So Kyungohkgo($Qi{\acute{o}}ng\;y{\grave{u}}\;g{\grave{a}}o$) have an effect of promoting growth of rats and might be effect to treat various kinds of growth delay in children.

Expanded Graphite 산화물과 Co 자성 나노입자의 복합화에 관한 연구

  • Im, Hyeon-Jun;No, Il-Pyo;Gang, Myeong-Cheol;Yun, Seong-Uk;Sim, In-Bo
    • Proceedings of the Materials Research Society of Korea Conference
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    • 2011.05a
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    • pp.240.2-240.2
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    • 2011
  • 그라파이트 산화물(graphite oxide;G.O)는 그라파이트와는 다르게 물에서의 분산 능력이 뛰어나고 다양한 기판상에 단일 G.O layer를 형성할 수 있는 특성을 가지고 있으며, 유연(flexible)하고 투명(transparent)하기 때문에 다양한 전 자기 디바이스에 적용 가능하다. 특히, 최근 자성산화물 나노입자(magnetic oxide nanoparticles)에 대한 연구가 집중되고 있는데, 이러한 자성 나노입자와 G.O와의 복합체에 대한 연구는 다양한 분야로의 적용성에 대한 새로운 길을 열어주고 있다. 본 연구에서는 화학적 처리법을 적용하여 자성 나노입자(Co 나노입자)와 G.O 복합체를 제조하였다. Natural Graphite powder (N.G)에 $H_2O_4$ (98%) 및 $(NH_4)_2SO_4$를 적정 몰비로 첨가하여 반응 시킨 후 공기 중에서 열처리 공정을 수행하여 expanded graphite (E.G)를 제조 하였다. 열처리된 E.G를 $1,050^{\circ}C$ 온도에서 15~30초 및 30~60초 동안 공기 중에서 열처리 하여 expanded graphite oxide (E.G.O)를 제조하였으며, E.G.O와 $Co(acac)_3$의 화학적 반응을 통하여 Co 자성나노입자-G.O 복합체를 제조하였다. N.G, E.G, E.G.O 및 E.G.O+Co입자의 결정구조 분석을 위하여 XRD 측정을 수행하였으며, FTIR을 이용하여 각 단계에서의 반응성에 대한 연구를 수행하였다. 각 단계에서 표면 및 내부 미세구조 특성 분석을 위하여 SEM, TEM, 및 EDX 분석을 수행하였으며, E.G.O+Co 복합체의 자기적 특성 평가를 위하여VSM (vibrating sample magnetometer) 측정을 수행하였다. 이러한 연구 결과는 향후 자성나노입자와 그라핀과의 복합화를 위한 기저 기술로 활용가능하리라 판단된다.

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Sewage sludge solubilization using ultrasonic combined with calcium peroxide (초음파/과산화칼슘(US/CaO2)을 이용한 하수슬러지 가용화)

  • Han, Jun-Hyuk;Nam, Se-Yong
    • Journal of the Korea Organic Resources Recycling Association
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    • v.29 no.4
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    • pp.41-46
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    • 2021
  • In order to investigate the degree of sewage sludge solubilizaion using ultrasonic(US) combined with calcium peroxide(CaO2), VSS reduction rate, solubilization rate, SCOD/VSS ratio, SCOD increasing rate, LB-EPS(Loosely-Bound EPS) and TB-EPS(Tightly-bound EPS) were measured. US was compared as a control. Solubilization rate increased by 23.4% under US and increased by 50.7% under US/CaO2(0.05 g CaO2/g VSS). and also, at the same conditions, VSS reduction rate increased by 7.1% and 17.7%, respectively. SCOD increasing rate from 10 to 90 minutes was 0.0151 min-1 under US/CaO2(0.02 g CaO2/g VSS). TB-EPS decreased by 36.4% under US and decreased by 59.0% under US/CaO2(0.05 g CaO2/g VSS). TB-EPS decreased during first 10 minutes and then decreased slowly until 90 minutes. There was no significant difference in TB-EPS decrease according to the dosage of calcium peroxide.

Growth and substance transfer effect of Pleurotus cornucopiae by high concentration treatments of selenium(II) (고농도 셀레늄 처리가 노랑느타리버섯(Pleurotus cornucopiae) 생육과 물질전이에 미치는 영향(II))

  • Chang, Hyun-You;Chung, Ki-Chul;Jang, In-Ja
    • Journal of Mushroom
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    • v.3 no.2
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    • pp.85-89
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    • 2005
  • The research for incubation period, mycelial density, day required for primordial formation after inoculation(below DPI), number of valid stipes, individual weight and accumulation amounts of organic selenium for P. cornucopiae by treating 600, 700, 800, 900, 1000(${\mu}g/50g$) of $Na_2SeO_3$ is following. Incubation periods of P. cornucopiae are 25~30 days per each treatment with $Na_2SeO_3$. Compared to the control which took 22 days of incubation period, it is increased 3 or 8 days for the treatment of $600{\sim}1000{\mu}g/50g$. Mycelial density of P. cornucopiae treated with $Na_2SeO_3$ between 600 and $1000{\mu}g/50g$ is very similar with control. DPI of P. cornucopiae treated with $Na_2SeO_3$ between 600 and $1000{\mu}g/50g$ was increased 3 or 8 days. Number of valid stipes of P. cornucopiae treated with $Na_2SeO_3$ between 600 and $1000{\mu}g/50g$ was between 10 and 16. It was decreased 2 or 8 as compared to 18 of control. Individual weight of P. cornucopiae treated with $Na_2SeO_3$ between 600 and $1000{\mu}g/50g$ was between 94 and 116g/850cc. It was decreased 5.7~23.5% as compared to 123g/850cc of the control. Accumulation amount of organic selenium for P. cornucopiae treated with $Na_2SeO_3$ between 600 and $1000{\mu}g/50g$ was $9.1{\sim}10.8{\mu}g/g/dry$. It was increased 182~216 times as the concentration increased when compared to $0.05{\mu}g/g/dry$ of the control. In conclusion, incubation period, mycelial density, DPI, number of valid stipes, individual weight and accumulation amounts of organic selenium for P. cornucopiae by treating $600{\sim}1000{\mu}g/g$ of $Na_2SeO_3$ was decreased. So that the optimal treatment was less $400{\mu}g/g$ than $600{\sim}1000{\mu}g/g$.

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Studies on the Citric Acid Fermentation with Fungi (Part IV) Citric Acid Fermentation from Soluble Starch and Molasses (사상균에 의한 구연산발효에 관한 연구 (제IV보) 가용성전분 및 당밀에 의한 구연산발효)

  • 성낙계;김명찬;심기화;정덕화
    • Microbiology and Biotechnology Letters
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    • v.8 no.3
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    • pp.199-206
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    • 1980
  • Some experiments on the citric acid production were carried out from soluble starch and molasses as raw materials. When soluble starch was used as substrate for the fermentation of citric acid by the strain M-80 which had assimilating ability of soluble starch in surface culture, the optimal culture media was 120g of soluble starch, 3.0g of (N $H_4$)$_2$S $O_4$, 2.0g of K $H_2$P $O_4$, 0.2g of MgS $O_4$.7$H_2O$, 1.5mg of F $e^{++}$, 1mg of Z $n^{++}$ and 20ml of methanol were added to 1 liter and optimal pH was 5.5. In about 8 days 61.8mg/ml of citric acid was produced. When treated molasses with potassium ferrocyanide was used as substrate for the fermentation of citric acid by the strain of M-315, the optimal condition in surface culture was 250g of molasses, 0.3g of N $H_4$N $O_3$, 0.05g of K $H_2$P $O_4$, 0.01g of MgS $O_4$.7$H_2O$, 0.5g of Potassium ferrocyanide and 30ml of methanol were added to 1.0 liter. On the other hand, the optimal condition in submersed culture was 250g of molasses, 0.3g of N $H_4$N $O_3$, 0.1g of K $H_2$P $O_4$, 0.01g of MgS $O_4$.7$H_2O$, 0.5g of potassium ferrocyanide, and 30m1 of methanol were added to 1.0 liter and optimal pH was all 5.0. After 9 days culture, 69.4mg/ ml, 39.6mg/ml of citric acid were separately produced in surface and submerged culture media.dia.

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