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        Edge-to-vertex detour number of a graph

        A. P. Santhakumaran,S. Athisayanathan 장전수학회 2011 Advanced Studies in Contemporary Mathematics Vol.21 No.4

        For two vertices u and v in a graph G = (V,E), the detour distance D(u, v)is the length of a longest u–v path in G. A u–v path of length D(u, v) is called a u–v detour. For subsets A and B of V , the detour distance D(A,B)is defined as D(A,B) = min{D(x, y) : x ∈ A, y ∈ B}. A u–v path of length D(A,B) is called an A–B detour joining the sets A, B ⊆ V where u ∈ A and v ∈ B. A vertex x is said to lie on an A–B detour if x is a vertex of an A–B detour. A set S ⊆ E is called an edge-to-vertex detour set if every vertex of G is incident with an edge of S or lies on a detour joining a pair of edges of S. The edge-to-vertex detour number dn_2(G) of G is the minimum order of its edge-to-vertex detour sets and any edge-to-vertex detour set of order dn_2(G) is an edge-to-vertex detour basis of G. Certain general properties of these concepts are studied. The edge-to-vertex detour numbers of certain classes of graphs are determined. Its relationship with the detour diameter is discussed and it is proved that for each triple D, k, q of integers with 2 ≤ k ≤ q − D + 2 and D ≥ 4 there is a connected graph G of order p with detour diameter D and dn_2(G) = k. It is also proved that for any three positive integers a, b, k with k ≥ 2 and a < b ≤ 2a, there is a connected graph with detour radius a, detour diameter b and dn_2(G) = k.

      • 정화조에서 배출되는 하수관악취 저감방안 연구

        조용모 ( Yong Mo Cho ),남미아 ( Mi A Nam ) 서울시정개발연구원 2009 연구보고서 Vol.2009 No.5

        Outline: Recently, the urban foul odor problem is frequently happening all around Seoul area; CBD, large apartment districts, and low-lying areas where a foul water running velocity is slow. Even though a life foul odor has not been regarded as a serious problem until now, cases of civil appeal are increasing for the sewer foul odor all around Seoul along with the improvement of standard of living and frequent rise of bad smell problems especially in large buildings. The purpose of this study is deliberating the way of reducing the sewer foul odor by examining the origin and process of the urban sewer foul odor generating throughout Seoul. 2. Main results of the study The result of the survey had performed for three years, during 2006~2008, shows that the generating spot of the life sewage foul odor is increasing every year; 1,442 cases in 2006, 2,067 cases in 2007, and 2,523 cases in 2008, total 6,032 cases had been reported. 608,205 Septic tanks including polluted water purifying devices had installed in Seoul, and 11,454 tanks among them are over 500 people capacity tanks. 2) Foul odor concentration examination in Seoul The foul odor in the circumference of Yeosung Green Castle apartment was examined to find the generating characteristics of the life sewage foul odor. Yeosung Green Castle apartment is located where about 10% gradient road is continued more than 500 meters. Foul odor is severly generated at the end of this road, the entrance of a path up a mountain. The sewage foul odor of Namhyun-dong neighborhood is generated from the foul odor of Septic tanks in the houses and apartments. The result of foul odor examination showed the degree of mixed foul odor at the 1 and 2 spots of rainwater receivers are individually 144 and 208 dilution rate, and they are far over 15 that is permissible level. Hydrogen sulfide was measured 15 times higher than the permissible level, 20.0ppb, at the each spots. Methyl mercaptan also was gauged as largely exceeding 2.0ppb, the permissible level. 3) Types of life foul odor The foul odor generated in Seoul could be largely classified into five types as follows; A. the foul odor adjacent to the large buildings, B. the foul odor of small water-purifiers in single-family housing districts, C. the foul odor of sewer system in upstream hilly sections, D. the foul odor of sewer system in low-lying areas, and E. the foul odor of Storm Overflow Diverging Tanks. 4) Problems of life sewage foul odor The problems of the life sewage foul odor are as follows; A. absence of the efficient alteration of sewage foul odor prevention, B. difficulty of a origin blockade in the Septic tanks, the main source of life sewage foul odor, C. absence of a provision for prevention of life sewage foul odor in the Foul Odor Prevention Law and D. difficulty of achieving the foul odor reducing effect by resetting the quality standard of Septic thank`s discharging water. 3. Policy recommendation: 1) Basic principles for reducing ife foul odor (1) Analyzing reality of life sewage foul odor generation The foul odor is inevitably generated in most Korean buildings when discharging water of a Septic tank is influented to the sewer system. However, the foul odor prevention with improving efficiency of a Septic tank has not only much difficulty of securing effectiveness but also lack of scientific approaches. (2) Establishing basic frame for life foul odor prevention The basic frame for life foul odor prevention is as follows, Firstly, introducing the public concept, the mandatory installation and management of Septic tanks and sewer systems, to reduce the sewage foul odor. Secondly, promoting the synthesized management that focuses on a sewer pipe; moving from point control to line control Thirdly, establishing a system by adding the life sewer foul odor provision in the Foul Odor Prevention Law or legislating a new law for the preventing life sewer foul odor, Fourthly, connecting the measure for reduction of Septic tanks and sewer pipe foul odor with the sewerage maintenance, Lastly, founding the effective reduction measure with considering limited effect of a rainwater receiver for the sewer foul odor prevention. (1) Process for managing life sewer foul odor The main contents of process for the life sewer foul odor management are as follows in the order named; A. recognizing the generation spot of the life sewer foul odor, B. examining the life sewer foul odor, C. selecting sewer systems for managing the life sewer foul odor, D. requiring the reduction facility to the large buildings discharging sewage to the sewer system and water-purifying tanks over 500 people capacity by law, E. establishing the synthesized reduction plan in the selected sewer system district, and F. installing the reduction facility for the life sewer foul odor. (2) Systemic improvement for reduction of sewer foul odor Adding the sewer foul odor section in the Foul Odor Prevention Law or Sewerage Law is necessary, and legislating the municipal ordinance for the life sewer foul odor in Seoul is required. It is necessary to make installing the foul odor facility into a mandatory requirement both new construction buildings installed Septic tank over 500 people capacity or larger than 1,500 floor area, and existing buildings located within the sewer foul odor sewer system area. (3) Efficient plan for reducing foul odor in building district ① Installing plan of the foul odor reduction facility for existing buildings in the urban building districts installing vertical outlets on the building side using existing sewer pipes as an induction pipe. ② New construction buildings in single-family housing districts systemizing installing the foul odor reduction facility as mandatory requirement in the buildings both have Septic tank over 500 people capacity and larger than 1500 floor area, ③ Indistinctive source of the sewer foul odor installing the "L"type induction pipe using a street light or telephone pole as a prop. (4) Establishing a plan for sewer four odor reduction Establishing the sewer foul odor maintenance and improvement scheme is required in each district of the sewer foul odor management, On top of that, the sewer foul odor reduction study should be proceeded with the whole region of Seoul, (5) Operating sewer foul odor counterplan party under the government of Seoul The foul odor counterplan party that is consisted with professionals and public service workers should be organized, and the solutions for the foul odor should be made such as a field study, reduction programs, the allotment of facility construction in the regions where the foul odor reduction measure is urgent.

      • A study of nerve agent model organophosphonate binding with manganese-A<sub>2</sub>B-corrole and -A<sub>2</sub>B<sub>2</sub>-porphyrin systems

        Kim, K.,Kim, I.,Maiti, N.,Kwon, S.J.,Bucella, D.,Egorova, O.A.,Lee, Y.S.,Kwak, J.,Churchill, D.G. Pergamon Press 2009 Polyhedron Vol.28 No.12

        Herein the synthesis and binding studies of novel trans-A<SUB>2</SUB>B-corrole and trans-A<SUB>2</SUB>B<SUB>2</SUB>-porphyrin derivatives are presented in comparing manganese(III)-organophosphonate (OP) binding (e.g., M<SUP>n+</SUP>←O?PR(OR)<SUB>2</SUB>) capabilities. H<SUB>3</SUB>(PFP-VC) [PFP-VC=5,15-di(pentafluorophenyl)-10-(3-vinylphenyl)corrolate] was synthesized by way of literature procedures and was characterized by a variety of 2-D NMR spectroscopic techniques and single-crystal X-ray diffraction. These compounds represent the first example of 3-vinyl-phenyl-containing meso-substituted corroles or porphyrins. Mn(PFP-VC) (3) was treated separately with (CH<SUB>3</SUB>CH<SUB>2</SUB>O)<SUB>2</SUB>P?O(C<SUB>3</SUB>H<SUB>6</SUB>NMe<SUB>2</SUB>), (C<SUB>4</SUB>H<SUB>9</SUB>O)<SUB>2</SUB>P?O(Me), (C<SUB>2</SUB>H<SUB>5</SUB>O)<SUB>2</SUB>P?O(CH<SUB>2</SUB>COCH<SUB>3</SUB>), (CH<SUB>3</SUB>CH<SUB>2</SUB>O)<SUB>2</SUB>P?O(Me), to give 1:1 adducts, as determined by UV-Vis spectroscopy (Job Plot), giving a red shift; Ph<SUB>3</SUB>P?O, was also found to bind, but very weakly. The trans-A<SUB>2</SUB>B<SUB>2</SUB>-porphyrin analogue Mn(PFP-VP) (4) was also prepared by way of a literature procedure; related binding studies gave 1:1 organophosphonate-Mn(PFP-VP) adducts (Job Plot). A clean blue shift occurred for the Mn-porphyrins at higher organophosphonate loadings (K<SUB>a</SUB> values: 6.7 (0.9)-11.9 (0.4)M<SUP>-1</SUP>). DFT geometry optimizations of O?P(OMe)<SUB>2</SUB>Me binding and formal Mn-O or P-O cleavage products in the unsubstituted neutral Mn-corrolato and -porphyrinato systems with a range of metal-based spin states revealed greatest stability in formal phosphoryl oxygen binding (energies: 11-13kcal/mol) for the Mn-corrole (singlet); the Mn-porphyrin (sextet) was also quite stable.

      • A microfluidic electrochemical aptasensor for enrichment and detection of bisphenol A.

        Kashefi-Kheyrabadi, Leila,Kim, Junmoo,Gwak, Hogyeong,Hyun, Kyung-A.,Bae, Nam Ho,Lee, Seok Jae,Jung, Hyo-Il Elsevier 2018 Biosensors & bioelectronics Vol.117 No.-

        <P><B>Abstract</B></P> <P>Bisphenol A (BPA) is an organic monomer used to make common consumer goods such as plastic containers, sports equipment, and cosmetics which are heavily produced worldwide. A growing interest has been drawn to general public as BPA is one of the major endocrine disrupting chemicals threating human health. To date, numerous BPA sensors have been attempted to be developed but important challenges still remained such as limited linearity range, easy to use, and long term response time. To address the present issues, a microfluidic channel should be integrated into an electrochemical aptasensor and it is called Geometrically Activated Surface Interaction (GASI) chip. The vigorous generation of the micro-vortex in the GASI fluidic chamber provides the high collision chances between BPA and anti-BPA aptamer (BPAPT) and consequently more BPA molecules can be captured on the aptasensor surface, which finally results in high sensitivity of the aptasensor. To construct the integrated aptasensor, a miniaturized gold electrode is fabricated using shadow mask and e-beam evaporation process. Afterward, BPAPT is immobilized on a nanostructured gold electrode via thiol chemistry, and other terminus of the aptamer is labeled with a ferrocene (Fc) redox probe. Then, the microfluidic channel is mounted over the miniaturized gold electrode to introduce and enrich BPA to the aptasensor. Upon the specific interaction between BPA and its aptamer, configuration of aptamer is changed so that Fc tag approaches to the electrode surface and direct oxidation signal of Fc and BPA are followed as analytical signals. The unique microfluidic integrated electrochemical aptasensor delivers a wide linear dynamic range over 5 × 10<SUP>–12</SUP> to 1 × 10<SUP>−9</SUP> M, with a limit of detection 2 × 10<SUP>–13</SUP> M. This aptasensor provides a precise platform for simple, selective and more importantly rapid detection of BPA. Such kind of sensing platforms can serve as a fertile ground for designing miniaturized portable sensors.</P> <P><B>Highlights</B></P> <P> <UL> <LI> GASI generates micro-vortex resulting in enhanced capture of BPA and subsequently enhanced sensitivity of the aptasensor. </LI> <LI> The aptasensor has low LOD, wide linear dynamic range and good response time compared to conventional aptasensors. </LI> </UL> </P>

      • Temperature dependent structure formation and photoluminescence studies of a series of magnesium-based coordination networks

        Calderone, P.J.,Banerjee, D.,Plonka, A.M.,Kim, S.J.,Parise, J.B. Elsevier Sequoia [etc.] 2013 Inorganica chimica acta Vol.394 No.-

        A series of three magnesium trimesate coordination networks was synthesized from identical reaction mixtures by varying synthetic temperature. Mg(HBTC)(DMF)<SUB>2</SUB>.[(CH<SUB>3</SUB>)<SUB>2</SUB>NH] (1; BTC=trimesate; space group P6<SUB>3</SUB>/m, a=16.596(4)A, c=14.351(8)A) crystallizes at 65<SUP>o</SUP>C, Mg<SUB>3</SUB>(BTC)(HCOO)<SUB>3</SUB>(DMF)<SUB>3</SUB> (2; space group P@?3, a=13.928(2)A, c=8.025(6)A) crystallizes at 100<SUP>o</SUP>C, and Mg<SUB>3</SUB>(BTC)<SUB>2</SUB>(DMF)<SUB>4</SUB> (3; space group P2<SUB>1</SUB>/c, a=17.490(4)A, b=11.940(2)A, c=18.460(4)A, β=116.87(3)<SUP>o</SUP>) crystallizes at a temperature of 180<SUP>o</SUP>C. Each network contains metal-coordinated solvent DMF molecules, but thermodynamics and solvent hydrolysis play major roles in structure formation. Compounds 1 and 2 are two-dimensional networks which incorporate hydrolysis byproducts. Compound 3 is a three-dimensional network and shows no inclusion of byproducts. The series follows the trend of increased network connectivity resulting from increased temperature. Each of the networks show a weak photoluminescence response, suggesting that coordinated solvent molecules and interlayer species play a role in quenching photoluminescence.

      • 화이트헤드의 유기체 철학과 쿼크

        임진아 ( Jin A Yim ) 한국화이트헤드학회 2013 화이트헤드 연구 Vol.26 No.-

        궁극적 물질은 무엇이며, 그 물질의 성질에 대해 연구하는 분야는 물리학 중에서도 소립자물리학의 연구영역이다. 소립자물리학이 궁극적 요소에 대한 사유에는 궁극적 요소는 물질이며, 파동이 아닌 입자적 특성을 가진 그 무엇이 아니겠는가 하는 가정이 전제되어 있다. 20세기 초반, 플랑크의 에너지 양자가설로 인해 촉발된 물리학의 혁명은 물리학이 연구하는 대상인 물질 그 자체에 대한 관점의 전환을 요구했다. 파동과 입자는 양립할 수 없는 물질의 양태이다. 그러나 물질의 이중성으로 잘 알려져 있듯이 파동은 입자의 성질을, 입자는 파동의 성질을 가지고 있다는 것이 드러났다. 또한 극미의 세계에서는 매우 많은 숫자의 소립자가 발견되었으나, 현재 물리학자들은 양성자와 중성자와 같은 핵자를 만드는 근본적인 물질로 간주하는 쿼크 및 전자를 이 세계를 구성하는 가장 근원적인 입자들로 생각 한다.이 글은 두 가지의 목적을 가지고 있다. 첫 번째, 20세기에 양자역학에서 시작된 물질의 이중성으로부터 쿼크가 가진 성질을 통해 전통적인 물질관에 대해 비판하고자 한다. 두 번째, 현재까지도 명쾌한 해답이 제시되지 않고 있는 물질의 이중성 및 쿼크의 실체성에 대한 의문을 화이트헤드의 유기체철학의 관점으로 고찰해보고자 한다. The ultimate matter is what , and an field to study for the property of the material is study are of the particle physics. The ultimate element is matter in the reason for the ultimate element particle physics, And it is to a prerequisite a home doing whether it is the what with the property of the particle that is not wave motion. The prompted physical revolution required the change over of the point of view for material itself which was the object which physics studied(grand prix) by Energy Quantum hypothesis of initial, Planck in the 20th century. Wave motion and a particle are appearance of the materials which they cannot balance. However, it appeared in the wave motion that the particle had a nature of the wave motion with the nature of the particle to be known for the duality of the material well. In addition, the elementary particle of a great many numbers was discovered in the particle physical world, but current physicists think about quark to consider to be a basic material making the nuclear particle which seems to be a neutron with a positive child and an electron with root-like particles to frame this world. This essay consider as two kinds of purposes. It thinks first to think to criticize it for outlook on traditional material through the nature that quark has from the duality of the material which began in quantum mechanics in the 20th century. It thinks to consider a shrug for the second, duality of the material that the answer that is clear to date is not shown and substantiality of the quark at a point of view of the organized body philosophy of A. N. Whitehead.

      • SCOPUSKCI등재

        Development of Sensitive Analytical Method of Rhodanthpyrone A by a LC-MS/MS and its Application to Bioavailability Study in Rats

        Kang, Bitna,Yoon, Jeong A,Song, Im-Sook,Han, Young Taek,Choi, Min-Koo Korean Society for Mass Spectrometry 2019 Mass spectrometry letters Vol.10 No.3

        A sensitive analytical method of rhodanthpyrone A in rat plasma was developed using a liquid chromatography-tandem mass spectrometry (LC-MS/MS). Rhodanthpyrone A and rhodanthpyrone B (internal standard) in rat plasma were extracted by a liquid-liquid extraction method with ethyl acetate. This extraction method gave results in high and reproducible extraction recovery in the range of 73.75-79.90% with no interfering peaks around the peak elution time of rhodanthpyrone A and B. The standard calibration curves for rhodanthpyrone A ranged from 0.5 to 2000 ng/mL were linear with $r^2$ > 0.994 and the inter- and intra-day accuracy and precision and the stability were within acceptance criteria. Using this validated analytical method, pharmacokinetics of rhodanthpyrone A following intravenous and oral administration of rhodanthpyrone A at doses of 2 mg/kg and 30 mg/kg, respectively, were investigated. Rhodanthpyrone A in rat plasma showed multi-exponential elimination pattern with high clearance and volume of distribution values. The absolute oral bioavailability of this compound was calculated as 3.7%. Collectively, the newly developed sensitive LC-MS/MS analytical method of rhodanthpyrone A could be successfully applied to investigate the pharmacokinetic properties of this compound and would be useful for the further studies on the efficacy, toxicity, and biopharmaceutics of rhodanthpyrone A.

      • KCI등재

        Upper edge-to-vertex detour monophonic number of a graph

        A. P. Santhakumaran,P. Titus,K. Ganesamoorthy 장전수학회 2016 Advanced Studies in Contemporary Mathematics Vol.26 No.2

        For a connected graph G = (V,E) of order at least three, the monophonic distance dm(u, v) is the length of a longest u−v monophonic path in G. A u − v path of length dm(u, v) is called a u − v detour monophonic. For subsets A and B of V , the monophonic distance dm(A,B) is defined as dm(A,B) = min{dm(x, y) : x ∈ A, y ∈ B}. A u−v path of length dm(A, B) is called an A−B detour monophonic path joining the sets A,B ⊆ V, where u ∈ A and v ∈ B. A set S ⊆ E is called an edge-to-vertex detour monophonic set of G if every vertex of G is incident with an edge of S or lies on a detour monophonic path joining a pair of edges of S. The edge-to-vertex detour monophonic number dmev(G) of G is the minimum cardinality of its edge-to-vertex detour monophonic sets and any edge-to-vertex detour monophonic set of car- dinality dmev(G) is an edge-to-vertex detour monophonic basis of G. An edge-to-vertex detour monophonic set S in a connected graph G is called a minimal edge-to-vertex detour monophonic set of G if no proper subset of S is an edge-to-vertex detour monophonic set of G. The upper edge-to-vertex detour monophonic number dm+ ev(G) of G is the maxi- mum cardinality of a minimal edge-to-vertex detour monophonic set of G. We determine bounds for it and certain general properties of these concepts are studied. It is shown that for every pair a, b of integers with 2 ≤ a ≤ b, there exists a connected graph G with dmev(G) = a and dm+ ev(G) = b.

      • KCI등재

        Photocatalytic abatement of phenol on amorphous TiO2-BiOBr-bentonite heterostructures under visible light irradiation

        Menelisi C. Dlamini,Mbongiseni L. Dlamini,Pumza Mente,Boitumelo Tlhaole,Rudolph Erasmus,Manoko S. Maubane-Nkadimeng,John A. Moma 한국공업화학회 2022 Journal of Industrial and Engineering Chemistry Vol.111 No.-

        A simplistic solvothermal process to fabricate novel amorphous TiO2-BiOBr-Bentonite (A-TiO2-BiOBr-Bt)multidimensional photocatalysts in this work is a practical and economically feasible technique for thefabrication of the reported photocatalysts as it is a one-pot process. The stickiness of the A-TiO2-BiOBr-Bt wet cake and the low drying temperature make A-TiO2-BiOBr-Bt a feasible platform compositefor the fabrication of the photoreactive inner coating of water treatment containers for photocatalytictreatment of drinking water. The A-TiO2-BiOBr-Bt photocatalyst with an A-TiO2:BiOBr:Bt mass ratio of1:1:2 (Ti1Bi1Bt2) displayed the highest BET surface area of 124.8 m2/g, a low bandgap of 2.86 eV, and sufficientlylow electron-hole recombination rate. The high number of A-TiO2-BiOBr p-n heterojunctions,and the Ti-O-Si and Bi-O-Si bonds between A-TiO2-BiOBr and Bt in Ti1Bi1Bt2 lowered its electron-holerecombination rate with enhanced visible light-harvesting ability. Within 70 min of visible light irradiation,150 mg of Ti1Bi1Bt2 gave 100% conversion of 100 mL of 20 ppm phenol with a pseudo-first-order rateconstant of 0.0322 min1 at pH 4.0. Scavenging experiments showed superoxide radicals (O2) and electrons(e) being the most dominant reactive oxidation species (ROS) responsible for the phenol photodegradationprocess while holes (h+) and hydroxyl radicals (OH) also exerted appreciableparticipation.

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