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The Line n-sigraph of a Symmetric n-sigraph-V

  • Reddy, P. Siva Kota;Nagaraja, K.M.;Geetha, M.C.
    • Kyungpook Mathematical Journal
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    • v.54 no.1
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    • pp.95-101
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    • 2014
  • An n-tuple ($a_1,a_2,{\ldots},a_n$) is symmetric, if $a_k$ = $a_{n-k+1}$, $1{\leq}k{\leq}n$. Let $H_n$ = {$(a_1,a_2,{\ldots},a_n)$ ; $a_k$ ${\in}$ {+,-}, $a_k$ = $a_{n-k+1}$, $1{\leq}k{\leq}n$} be the set of all symmetric n-tuples. A symmetric n-sigraph (symmetric n-marked graph) is an ordered pair $S_n$ = (G,${\sigma}$) ($S_n$ = (G,${\mu}$)), where G = (V,E) is a graph called the underlying graph of $S_n$ and ${\sigma}$:E ${\rightarrow}H_n({\mu}:V{\rightarrow}H_n)$ is a function. The restricted super line graph of index r of a graph G, denoted by $\mathcal{R}\mathcal{L}_r$(G). The vertices of $\mathcal{R}\mathcal{L}_r$(G) are the r-subsets of E(G) and two vertices P = ${p_1,p_2,{\ldots},p_r}$ and Q = ${q_1,q_2,{\ldots},q_r}$ are adjacent if there exists exactly one pair of edges, say $p_i$ and $q_j$, where $1{\leq}i$, $j{\leq}r$, that are adjacent edges in G. Analogously, one can define the restricted super line symmetric n-sigraph of index r of a symmetric n-sigraph $S_n$ = (G,${\sigma}$) as a symmetric n-sigraph $\mathcal{R}\mathcal{L}_r$($S_n$) = ($\mathcal{R}\mathcal{L}_r(G)$, ${\sigma}$'), where $\mathcal{R}\mathcal{L}_r(G)$ is the underlying graph of $\mathcal{R}\mathcal{L}_r(S_n)$, where for any edge PQ in $\mathcal{R}\mathcal{L}_r(S_n)$, ${\sigma}^{\prime}(PQ)$=${\sigma}(P){\sigma}(Q)$. It is shown that for any symmetric n-sigraph $S_n$, its $\mathcal{R}\mathcal{L}_r(S_n)$ is i-balanced and we offer a structural characterization of super line symmetric n-sigraphs of index r. Further, we characterize symmetric n-sigraphs $S_n$ for which $\mathcal{R}\mathcal{L}_r(S_n)$~$\mathcal{L}_r(S_n)$ and $$\mathcal{R}\mathcal{L}_r(S_n){\sim_=}\mathcal{L}_r(S_n)$$, where ~ and $$\sim_=$$ denotes switching equivalence and isomorphism and $\mathcal{R}\mathcal{L}_r(S_n)$ and $\mathcal{L}_r(S_n)$ are denotes the restricted super line symmetric n-sigraph of index r and super line symmetric n-sigraph of index r of $S_n$ respectively.

Cycloplatinated Complexes of Thiosemicarbazones. Synthesis and Crystal Structure of [$Ph_2PC_6H_4CHNNC(S)NHCH_3PtCl$]

  • 유동원;강상욱;고재정;최문근
    • Bulletin of the Korean Chemical Society
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    • v.18 no.3
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    • pp.305-310
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    • 1997
  • The synthesis and characterization of the platinum heterocyclic carboxaldehyde thiosemicarbazone complexes [NC5H4CRNNC(S)NHR'PtCl] (R=H, R'=CH3(1); R=CH3, R'=CH3(2); R=CH3, R=H(3)) and diphenylphosphinophenyl carboxaldehyde thiosemicarbazone complexes [Ph2PC6H4CHNNC(S)NHRPtCl] (R=CH3(5); R=iC3H7(6); R=Ph(7)) are described. Compounds 1-3 were prepared by reaction of Pt(SEt2)2Cl2 with 2-acetylpyridine-4-alkylthiosemicarbazone in the presence of NEt3. Compounds 5-7 were prepared using Pt(SEt2)2Cl2 in toluene with diphenylphosphinophenyl carboxaldehyde alkylthiosemicarbazone. The compounds have been characterized by microanalysis, NMR (1H, 13C, 31P) spectroscopy, and single-crystal X-ray diffraction. X-ray single crystal diffraction analysis reveals that compound 5 is a mononuclear platinum compound with P,N,S-coordination mode.

Karyotype Analysis and rDNA Physical Mapping in Rye (Secale cereale L.) (호밀(Secale cereale L.)의 핵형분석과 rDNA의 Physical Mapping)

  • Lee, Joon Soo;Seo, Bong Bo;Kim, Min
    • Korean Journal of Breeding Science
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    • v.42 no.2
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    • pp.163-168
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    • 2010
  • This study was carried out to determine the chromosomal localization of the 5S and 18S-26S ribosomal DNA(rDNA) genes by means of fluorescence in situ hybridization(FISH) techniques, and the constitutive heterochromatin detected by means of Gimsa C-banding technique in rye(Secale cereale L.). The somatic chromosomes number was 2n=14. The karyotype consists of four pairs of metacentrics(chromosomes 1, 2, 3, and 7) and three pairs of submetacentrics(chromosomes 4, 5, and 6). Secondary constrictions appeared in the short arm of chromosome 1. The 5S rDNA genes have been located on two pairs of chromosomes 1 and 5, and 18S-26S rDNAs genes have been located on one pair of chromosome 1. 5S rDNA genes were detected on the distal region of the secondary constrictions in nucleolus organizer regions(NOR) in chromosome 1, and other detected on the intercalary region in the short arm of chromosome 5.

Experimental Proof for Symmetric Ramsey Numbers (대칭 램지 수의 실험적 증명)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.3
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    • pp.69-74
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    • 2015
  • This paper offers solutions to unresolved $43{\leq}R(5,5){\leq}49$ and $102{\leq}R(6,6){\leq}165$ problems of Ramsey's number. The Ramsey's number R(s,t) of a complete graph $k_n$ dictates that n-1 number of incidental edges of a arbitrary vertex ${\upsilon}$ is dichotomized into two colors: (n-1)/2=R and (n-1)/2=B. Therefore, if one introduces the concept of distance to the vertex ${\upsilon}$, one may construct a partite graph $K_n=K_L+{\upsilon}+K_R$, to satisfy (n-1)/2=R of {$K_L,{\upsilon}$} and (n-1)/2=B of {${\upsilon},K_R$}. Subsequently, given that $K_L$ forms the color R of $K_{s-1)$, $K_S$ is attainable. Likewise, given that $K_R$ forms the color B of $K_{t-1}$, $K_t$ is obtained. By following the above-mentioned steps, $R(s,t)=K_n$ was obtained, satisfying necessary and sufficient conditions where, for $K_L$ and $K_R$, the maximum distance should be even and incidental edges of all vertices should be equal are satisfied. This paper accordingly proves R(5,5)=43 and R(6,6)=91.

Soluble IL-2R, IFN-$\gamma$ and Neopterin as Immunologic Markers in Patients with Tuberculosis (결핵 환자에서 면역학적 지표로서의 sIL-2R, IFN-$\gamma$, Neopterin에 관한 연구)

  • Ryu, Yon-Ju;Ryu, Kum-Hei;Kim, Su-Hyun;Lee, Jong-Soo;Cheon, Seon-Hee;Seoh, Ju-Young
    • Tuberculosis and Respiratory Diseases
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    • v.53 no.3
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    • pp.294-308
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    • 2002
  • Background : The cell-mediated immune response plays an important role in tuberculosis. After being activated by mycobacterial antigens, T lymphocytes express a high affinity receptor (IL-2R) for interleukin-2 (IL-2) on their own surface and release a soluble fraction of the IL-2 receptor (sIL-2R) from the cell membrane into the circulation. Neopterin is a metabolite of guanosine-triphosphate, which is produced by stimulated macrophages under the influence of IFN-$\gamma$ with a T lymphocyte origin. Therefore, the utility of sIL-2R, IFN-$\gamma$ and the neopterin levels as immunologic indices of the cell-mediated immune response and severity of disease in patients with pulmonary tuberculosis was assessed. Methods : The serum sIL-2R, IFN-$\gamma$ and neopterin levels were measured in 39 patients with pulmonary tuberculosis, 6 patients with tuberculous lymphadenitis prior to treatment and 10 healthy subjects. The serum and pleural sIL-2R, neopterin and ADA levels were measured in 22 patients with tuberculous pleurisy. The patients with pulmonary tuberculosis were divided into a mild, moderate and severe group according to the severity by ATS guidelines. To compare the results from these patients with those of the pretreatment levels, the sIL-2R, IFN-$\gamma$ and neopterin levels were measured in 36 of the 39 patients(1 patient, expired; 2 patients were referred to a sanitarium) with pulmonary tuberculosis after 2 months of treatment. Results : 1) the serum sIL-2R and IFN-$\gamma$ levels were elevated in patients with tuberculosis when compared to those of healthy subjects (p>0.05). The neopterin concentration in the serum was significantly lower in patients with pulmonary tuberculosis($2967{\pm}2132.8$ pg/ml) than in healthy controls($4949{\pm}1242.1$ pg/ml)(p<0.05). 2) In the pulmonary tuberculosis group, the serum sIL-2R and IFN-$\gamma$ levels were higher in patients with severe disease than those in patients with mild and moderate disease. However, the neopterin levels declined as the pulmonary tuberculosis became more severe (p<0.01). 3) The mean serum sIL-2R and IFN-$\gamma$ levels declined from $1071{\pm}1139.4$ U/ml to $1023{\pm}1920.9$ U/ml(p>0.05), $41{\pm}52.8$ pg/ml to $22{\pm}23.9$ gm/ml(p<0.05), respectively, after 2 month of treatment. The mean serum neopterin levels increased from $3158{\pm}2272.6$ pg/ml to $3737{\pm}2307.5$ pg/ml(p>0.05) after a 2 month of treatment. These findings were remarkable in the severe group of pulmonary tuberculosis with a clinical correlation. 4) In the patients with tuberculous pleurisy, the serum sIL-2R and ADA were significantly higher than those in the pleural fluid, However, the neopterin levels in the sera and pleural effusion were similar. Conclusion : On the basis of this study, sIL-2R, IFN-$\gamma$ and neopterin measurements may not only provide an insight into the present state of the cell-mediated immune response, but also serve as parameters monitoring of the prognosis of the disease, particularly in patients with severe pulmonary tuberculosis. In addition, an assay of the pleural sIL-2R levels might signal a stimulated local immunity including T cell activation in the tuberculous pleural effusion.

Methyl Methanesulfonate Stimulated $^3H$-Thymidine Uptake in Synchronized HeLa $S_3$ Suspension Cells Pretreated with Thymidine Analogs

  • Park, Sang-Dai
    • The Korean Journal of Zoology
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    • v.19 no.3
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    • pp.113-122
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    • 1976
  • The rate of $^{3}H$-thymidine uptake induced by MMS in asynchronous HeLa $S_3$ suspension cells was decreased in direct proprotion to dose increase. The combined treatment of BUdR or IUdR with MMS was more effective in reducing the rate of $^{3}H$-thymidine uptake. MMS-stimulated $^{3}H$-thymidine uptake was detected in synchronized $G_2$ stage cells of HeLa $S_3$ suspension cultures following treatment with thymidine double shock. BUdR and IUdR greatly enhanced MMS-stimulated $^{3}H$-thymidine uptake. IUdR was found to be a more effective sensitizer than BUdR in this respect.

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Anilinolysis of Diphenyl Thiophosphinic Chloride and Theoretical Studies on Various R1R2P(O or S)Cl

  • Dey, Nilay Kumar;Han, In-Suk;Lee, Hai-Whang
    • Bulletin of the Korean Chemical Society
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    • v.28 no.11
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    • pp.2003-2008
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    • 2007
  • The aminolysis of diphenyl thiophosphinic chloride (2) with substituted anilines in acetonitrile at 55.0 oC is investigated kinetically. Kinetic results yield large Hammett ρX (ρnuc = ?3.97) and Bronsted βX (βnuc = 1.40) values. A concerted mechanism involving a partial frontside nucleophilic attack through a hydrogen-bonded, four-center type transition state is proposed on the basis of the primary normal kinetic isotope effects (kH/kD = 1.0-1.1) with deuterated aniline (XC6H4ND2) nucleophiles. The natural bond order charges on P and the degrees of distortion of 42 compounds: chlorophosphates [(R1O)(R2O)P(=O)Cl], chlorothiophosphates [(R1O)(R2O)P(=S)Cl], phosphonochloridates [(R1O)R2P(=O)Cl], phosphonochlorothioates [(R1O)R2P(=S)Cl], chlorophosphinates [R1R2P(=O)Cl], and chlorothiophosphinates [R1R2P(=S)Cl] are calculated at the B3LYP/ 6-311+G(d,p) level in the gas phase.

An Analytic Study on factors Affecting the School Nurse's Activities in Daegu City and Kyungpook Province (대구.경북지역 일부 양호교사의 업무수행에 미치는 요인분석)

  • Gwak, Oh-Gae
    • Research in Community and Public Health Nursing
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    • v.1 no.1
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    • pp.503-517
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    • 1989
  • This study is to analyze factors affecting the school nurse's activities. The survey was undertaken during Sept. 1-Nov. 30, 1986. The subjects were 137 school nurses from elementary, junior-high, and senior-high schools in Daegu City and Kyungppk Province. The results are as follows: 1. Correlational findings between school nurse's self-confidence and their general characteristics 1) Program Planning & Evaluation: Health Experinece(r=-0.1803, p<0.05) Salary Step(r=-0.1741, p<0.05) 2) Clinic Management: Salary STep(r=-0.2580, p<0.01) 3) Health Education: Salary Step(r=-0.1929, p<0.05) 4) Management of School Environment: Salary Step(r=-0.2501, p<.05) 5) Health Care Services: Health Experience(r=0.1901, p<0.05) Salary Step(r=-0.2424, p<0.05) 2. The degrees of school nurse's self-confidence(high: 4 point, low: 1 point) 1) Clinic Management: 2.92 2) Health Education: 2.86. 3) Program Planning & Evaluation: 2.74 4) Health Care Services: 2.73 5) Management of School Environment: 2.67 6) Operating of School Health Organization: 2.42 3. Significances to self-confidence on school nurse's activities 1) Program Planning as Evaluation: Expending Times for Health Care Services (r=-0.2262, p<0.05) Expending Times for Health Education (r=0.2943, p<0.05) Size of Clinic(r=0.2163, p<0.05) Location of Clinic(t=2.43, gH0.047) Use of Clinic(t=2.06, p<0.007) 2) Clinic Management: Location of Clinic (t=3.36, p<0.010) 3) Health Education: Purchase of Medicine(r=-0.1736, p<0.05) No, of Classes (r=-0.1794, p<0.05) (4) Management of School Environment: School Health Budget(r=0.1731, p<0.05) Home Message(r=0.1805, p<0.05) Location of Clinic(t=4.46, p<0.0001) 5) Operating of School Health Organization: School Health Budget(r=0.1878, p<0.05) Use of Clinic(t:1.90, p<0.018) 6) Health Care Services: School Health Budget(r=1.90, p<0.018) Expending Times for Health Education(r=0.2577, p<0.05) Size of Clinic(r=0.4336, p<0.001) Location of Clinic(t:5.10, p<0.001)

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