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Search results for: PROPER(1,2)-DOMINATING SET
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On proper (1,2)‐dominating sets in graphs
PublicationIn 2008, Hedetniemi et al. introduced the concept of (1,)-domination and obtained some interesting results for (1,2) -domination. Obviously every (1,1) -dominating set of a graph (known as 2-dominating set) is (1,2) -dominating; to distinguish these concepts, we define a proper (1,2) -dominating set of a graph as follows: a subset is a proper (1,2) -dominating set of a graph if is (1,2) -dominating and it is not a (1,1) -dominating...
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Polynomial Algorithm for Minimal (1,2)-Dominating Set in Networks
PublicationDominating sets find application in a variety of networks. A subset of nodes D is a (1,2)-dominating set in a graph G=(V,E) if every node not in D is adjacent to a node in D and is also at most a distance of 2 to another node from D. In networks, (1,2)-dominating sets have a higher fault tolerance and provide a higher reliability of services in case of failure. However, finding such the smallest set is NP-hard. In this paper, we...
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Minimal 2-dominating sets in Trees
PublicationWe provide an algorithm for listing all minimal 2-dominating sets of a tree of order n in time O(1.3247^n). This leads to that every tree has at most 1.3247^n minimal 2-dominating sets. We also show that thisbound is tight.
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The 2:1 cocrystal of benzamide and pentafluororbenzoic acid
PublicationKrystaliczna struktura centrosymetrycznej supermolekuły składa się z czterech cząsteczek benzamidu oraz dwóch kwasu karboksylowego, które powiązane są ze sobą za pomocą wiązań wodorowych typu O-H...O oraz N-H...O.
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An Algorithm for Listing All Minimal 2-Dominating Sets of a Tree
PublicationWe provide an algorithm for listing all minimal 2-dominating sets of a tree of order n in time O(1.3248n) . This implies that every tree has at most 1.3248 n minimal 2-dominating sets. We also show that this bound is tigh.
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Dichlorido-1Cl,3Cl-hexakis[1,1,2,2,3,3(n5)-methylcyclopentadienyl]di-μ2-oxido-1:2κ2O:O;2:3κ2O:O-trihafnium(IV)
PublicationTytułowy związek jest trójrdzeniową cząsteczką. Dwie jednostki (MeCp)2HfCl połączone są z (MeCp)2Hf przez mostki tlenowe. Mostki Hf-O-Hf są prawie liniowe. Geometria trzech atomów Hf jest tetraedryczna.
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Two bacterial small heat shock proteins, IbpA and IbpB, form a functional heterodimer
PublicationSmall heat shock proteins (sHsps) are a conserved class of ATP-independent chaperones which in stress conditions bind to unfolded protein substrates and prevent their irreversible aggregation. Substrates trapped in sHsps-containing aggregates are efficiently refolded into native structures by ATP-dependent Hsp70 and Hsp100 chaperones. Most γ-proteobacteria possess a single sHsp (IbpA), while in a subset of Enterobacterales, as...
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Edge coloring of graphs of signed class 1 and 2
PublicationRecently, Behr (2020) introduced a notion of the chromatic index of signed graphs and proved that for every signed graph (G, σ) it holds that ∆(G) ≤ χ′(G,σ) ≤ ∆(G) + 1, where ∆(G) is the maximum degree of G and χ′ denotes its chromatic index. In general, the chromatic index of (G, σ) depends on both the underlying graph G and the signature σ. In the paper we study graphs G for which χ′(G, σ) does not depend on σ. To this aim we...
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Preparation of 1-[Ω-(1,4,5,6-Tetrahydropyrimidin-2-yl)alkyl]thymines
PublicationOne-stage prepn. of the hydrochloride salts of 1-[ω-(1,4,5,6-tetrahydropyrimidin-2-yl)alkyl]-thymines, e.g. I, from 1-(ω-cyanoalkyl)thymines and a 1:1-mixt. of 1,3-diaminopropane and ethanol satd. with hydrogen sulfide is described. 1-(2-Cyanoethyl)-thymine gave a facile reversal of the Michael reaction to thymine under the conditions used. The reaction of 1,3-bis(3-cyanobenzyl)thymine with the above reagent produced 1,3-bis[3-(1,4,5,6-tetrahydropyrimidin-2-yl)benzyl]thymine.
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Multiple bifurcation in the solution set of the von Karman equations with S^{1}-symmetries
PublicationRozważmy cienką, sprężystą, kołową płytę, położoną na sprężystym podłożu, poddawaną działaniu sił ściskających koncentrycznie wzdłuż jej brzegu. Formy równowagi takiej płyty są rozwiązaniami równań von Karmana z dwoma parametrami określonych na dysku w R^{2}. Są to równania różniczkowe cząstkowe rzędu czwartego. Można je zapisać jako równanie operatorowe F(x,p)=0 w przestrzeniach Höldera, gdzie zmienna x odpowiada formom równowagi...
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Scattering of electrons from 1-butene, H2C=CHCH2CH3, and 2-methylpropene,H2C=C(CH3)2, molecules
PublicationZmierzono, wykorzystując liniową technikę transmisyjną, całkowite absolutne przekroje czynne (TCS) na rozpraszanie elektronów na cząsteczce 1-butenu (H2C=CHCH2CH3) oraz 2-metylpropene (H2C=C(CH3)2) w zakresie energii padających elektronów, od 1 do 400 eV oraz od 1 do 350 eV. Kształt przekroju czynnego dla obu badanych izomerów butenu jest podobny. Dwie struktury w uzyskanych krzywych TCS, są wyraźnie widoczne: mały pik w okolicy...
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Synthesis and structural characterization of novel 2-benzimidazolylthioureas: adducts of natural isothiocyanatesand 2-amino-1-methylbenzimidazole
PublicationNa drodze syntezy chemicznej uzyskano addukty naturalnych izotiocyjanianów - alilu, benzylu i fenyloetylu i 2-amino-1-metylobenzoimidazolu. W następstwie optymalizacji warunków reakcji, poszczególne 2-benzimidazolilotiomoczniki otrzymano produkty z umiarkowanymi wydajnościami. Strukturę molekularną i krystaliczną produktów scharakteryzowano przy użyciu metod spektroskopowych i X-ray. Analiza uzyskanych widm pozwoliła stwierdzić,...
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ANALYSIS OF WORKING CONDITIONS OF BEARINGS NO.1 & NO.2 OF TURBINE 13K200 AND DESIGN DEVELOPMENT OF NEW BEARINGS FOR THE TURBINE AFTER RETROFITTING
PublicationThe main goal of the work consisted of preparing an analysis of working conditions of bearings No.1 and No.2 in the existing turbine 13K200, as well as designing geometries of new bearings which would allow for their proper functioning in the turbine following its retrofitting (work under higher load).
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Hyponastic Leaves 1 Interacts with RNA Pol II to Ensure Proper Transcription of MicroRNA Genes
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Comparison of hydrogen bonds and diverse weak interactions of the nitro group in 2-methyl-4-nitroanilinium nitrate, bisulfate and two hexafluoridosilicates: elementary graph-set approach
PublicationCrystal structures of (H2m4na)NO3 (1), (H2m4na)HSO4 (2), (H2m4na)2SiF6 (3) and (H2m4na)2SiF6*2H2O (4), where 2m4na = 2-methyl-4-nitroaniline, are presented. Two layers of interactions occur in the structures, N—H...O/F hydrogen bonds and interactions with the nitro group. Although diverse, hydrogen-bonding patterns are compared with each other by means of interrelations among elementary graph-set descriptors and descriptors of hydrogen-bonding...
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1-(2-Pyridylazo)-2-naphthol as Possible Analytical Reagent
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Study of Integer Spin S = 1 in the Polar Magnet β-Ni(IO3)2
PublicationPolar magnetic materials exhibiting appreciable asymmetric exchange interactions can potentially host new topological states of matter such as vortex-like spin textures; however, realizations have been mostly limited to half-integer spins due to rare numbers of integer spin systems with broken spatial inversion lattice symmetries. Here, we studied the structure and magnetic properties of the S = 1 integer spin polar magnet β-Ni(IO3)2...
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Optimization of Chemical Functionalities of Indole-2-carboxamides To Improve Allosteric Parameters for the Cannabinoid Receptor 1 (CB1)
Publication5-Chloro-3-ethyl-N-(4-(piperidin-1-yl)phenethyl)-1H-indole-2-carboxamide (1; ORG27569) is a prototypical allosteric modulator for the cannabinoid type 1 receptor (CB1). Here, we reveal key structural requirements of indole-2-carboxamides for allosteric modulation of CB1: a critical chain length at the C3-position, an electron withdrawing group at the C5-position, the length of the linker between the amide bond and the phenyl ring...
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Thermal behavior of the products of 2-chloro-2-propen-1-ol oligomerization
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Structural Factors Affecting Cytotoxic Activity of (E)-1-(Benzo[d ][1,3]oxathiol-6-yl)-3-phenylprop-2-en-1-one Derivatives
PublicationDerivatives of (E)-1-(5-alkoxybenzo[d][1,3]oxathiol-6-yl)-3-phenylprop-2-en-1-one (1) demonstrated exceptionally high in vitro cytotoxic activity, with IC50 values of the most active derivatives in the nanomolar range. To identify structural fragments necessary for the activity, several analogs deprived of selected fragments were prepared, and their cytotoxic activity was tested. It was found that the activity depends on combined effects...
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Synthesis of 3-(2-Alkylthio-4-chloro-5-methylbenzenesulfonyl)-2-(1-phenyl-3-arylprop-2-enylideneamino)guanidine Derivatives with Pro-Apoptotic Activity against Cancer Cells
PublicationThe untypical course of reaction between chalcones and benzenesulfonylaminoguanidines led to the new 3-(2-alkylthio-4-chloro-5-methylbenzenesulfonyl)-2-(1-phenyl-3-arylprop-2- enylideneamino)guanidine derivatives 8–33. The new compounds were tested in vitro for their impact on the growth of breast cancer cells MCF-7, cervical cancer cells HeLa and colon cancer cells HCT-116 by MTT assay. The results revealed that the activity of...
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Wsadowe i cykliczne szeregowanie 1- i 2-procesorowych zadań jednostkowych na maszynach dedykowanych.
PublicationW pracy autorzy zajmują się modelem szeregowania zadań 1- i 2- procesorowych. Rozważane są przy tym dwa warianty: klasyczny określany jako wsadowy i cykliczny, który występuje w przypadku wielokrotnego powtarzania raz zaprojektowanego harmonogramu. Dla obu przypadków badane są własności teoretyczne i konstruowane algorytmy przybliżone.
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Ekspertyza przyczyn uszkodzenia zaworu kulowego 1/2"
PublicationWykonano badania przyczyn uszkodzenia zaworu kulowego wykonanego z mosiądzu. Jako przyczynę wskazano korozjęe naprężeniową.
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New potent steroid sulphatase inhibitors based on 6-(1-phenyl-1H-1,2,3-triazol-4-yl)naphthalen-2-yl sulphamate derivatives
PublicationIn the present work, we report a new class of potent steroid sulphatase (STS) inhibitors based on 6-(1-phenyl-1H-1,2,3-triazol-4-yl)naphthalen-2-yl sulphamate derivatives. Within the set of new STS inhibitors, 6-(1-(1,2,3-trifluorophenyl)-1H-1,2,3-triazol-4-yl)naphthalen-2-yl sulphamate 3L demonstrated the highest activity in the enzymatic assay inhibiting the STS activity to 7.98% at 0.5 µM concentration. Furthermore, to verify...
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Szeregowanie rozrzedzonych systemów zadań jednostkowych 1- i 2-procesorowych w oknach czasowych
PublicationSzeregowanie jednostkowych zadań 1- i 2-procesorowych z dodatkowym ograniczeniem w postaci zróżnicowanych okien czasowych, w których zadania te mogą być wykonywane zamodelowano przy pomocy listowego kolorowania i multikolorowania krawędzi grafów. Kryteria jakości harmonogramu: maksymalny koszt wykonania zadania w jednostce czasu oraz suma tychże kosztów po wszystkich zadaniach można przedstawić rozszerzając kolorowanie listowe...
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[N,N'-Bis(2,6-diisopropylphenyl)pentane-2,4-diamine(1-)-2[kappa]2N,N']-[mu]2-chlorido-1:2[kappa]2Cl:Cl-chlorido-2[kappa]Cl-bis(1,2-dimethoxyethane-1[kappa]2O,O')iron(II)lithium
PublicationIn the title compound, [FeLi(C29H41N2)Cl2(C4H10O2)2], theFeII atom is coordinated by two N and two Cl atoms,generating a distorted FeN2Cl2 tetrahedral geometry. Additionally,one of the chloride atoms bridges to a lithium ion,which is solvated by two dimethoxyethane molecules and iscoordinated in a distorted trigonal-bipyramidal environment.The central Fe, Cl (*2) and Li atoms are coplanar with amaximum deviation of 0.034 A ° .
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Synthesis, molecular structure, and metabolic stability of new series of N' -(2-alkylthio-4-chloro-5-methylbenzenesulfonyl)-1-(5-phenyl-1 H -pyrazol-1-yl)amidine as potential anti-cancer agents
PublicationA series of new N'-(2-alkylthio-4-chloro-5-methylbenzenesulfonyl)-1-(5-phenyl-1H-pyrazol-1-yl)amidine derivatives have been synthesized and evaluated in vitro by MTT assays for their antiproliferative activity against cell lines of colon cancer HCT-116, cervical cancer HeLa and breast cancer MCF-7. The studied compounds display selective activity mainly against HCT-116 and HeLa cells. Thus, five compounds show selective cytotoxic...
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Influence of geosmin, dimethyl trisulfide, 2- and 3-methylbutan-1-ol on raw spirits quality
PublicationJakość napojów alkoholowych jest bardzo istotna dla konsumentów. Destylarnie, chcąc wytwarzać wysokiej jakości trunki, muszą określić, które składniki są odpowiedzialne za nieprzyjemny zapach pogarszając jakość otrzymywanych alkoholi. Głównym celem przeprowadzonych badań było określenie profili zapachowych próbek destylatów rolniczych różniących się jakością organoleptyczną oraz wskazanie tych składników, których obecność może...
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Inhibitors of Matriptase‐2 Based on the Trypsin Inhibitor SFTI‐1
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Przekrój drogi "2 minus 1" – ocena możliwości zastosowania na drogach samorządowych w Polsce
PublicationOd kilkunastu lat w krajach Europy Zachodniej, a od kilku lat również i Polsce, poszukuje się nowych standardów rozwiązań organizacji ruchu, pozwalających w bezpieczny, funkcjonalny i ekonomiczny sposób organizaować ruch na drogach lokalnych. W Polsce dotyczy to przede wszystkim dróg powiatowych lub gminnych, o niewielkim znaczeniu ruchowym, zlokalizowanych głównie poza obszarami zabudowanymi. Dotychczasowe doświadczenia z kilku...
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Pressure evolution of luminescence in Sr Ba1−(NbO2)3:Pr3+ (x=1/2 and 1/3)
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Thermodynamic study of binary mixtures of 2-propanol with ionic liquids, 1-hexyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide, 1-hexyl-3-methylimidazolium trifluoromethanesulfonate and triethylhexylammonium bis(trifluoromethylsulfonyl)imide
PublicationIn this work, densities, speeds of sound, refractive indices and viscosities of three binary mixtures containing the ionic liquids 1-hexyl-3-methylimidazolium bis(trifluoromethyl-sulfonyl)imide, 1-hexyl-3-methylimidazolium trifluoromethanesulfonate and triethylhexyl-ammonium bis(trifluoromethylsulfonyl)imide, mixed with 2-propanol at wide temperature and composition ranges at atmospheric pressure have been measured. From these...
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Novel synthesis scheme and in vitro antimicrobial evaluation of a panel of (E)-2-aryl-1-cyano-1-nitroethenes
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Crystal Growth, Structure, and Magnetism of the 2D Spin 1/2 Triangular Lattice Material Rb3Yb(PO4)2
PublicationThe single-crystal growth, crystal structure, heat capacity, and anisotropic magnetization characterization of Rb3Yb- (PO4)2, a Yb-based triangular lattice material, are presented. Single-crystal X-ray diffraction shows that Rb3Yb(PO4)2 exhibits [Yb(PO4)]∞ layers, with the Yb in an ordered plane of equilateral triangles. One phosphate group oxygen that is not a near neighbor of the magnetic Yb displays positional disorder. The...
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Cross-sections for electron-scattering from 2-methyl-1-buten-3-yne, C 5 H 6 , molecules
PublicationtCross-sections for electron collisions with the 2-methyl-1-buten-3-yne [H2C C(CH3)C CH] moleculewere measured and calculated. Absolute grand-total electron-scattering cross-section (TCS) was takenat impact energies from 0.6 to 300 eV in the linear electron-transmission experiment. The TCS energydependence for the electron–C5H6collision has two prominent enhancements separated with a deepminimum located near 1.8 eV. In addition,...
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Estrogen receptors 1 and 2 genotypes and age at menarche in idiopathic scoliosis
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Crystallographic study of self-organization in the solid state including quasi-aromatic pseudo-ring stacking interactions in 1-benzoyl-3-(3,4-dimethoxyphenyl)thiourea and 1-benzoyl-3-(2-hydroxypropyl)thiourea
Publication1-Benzoylthioureas contain both carbonyl and thiocarbonyl functional groups and are of interest for their biological activity, metal coordination ability and involvement in hydrogen-bond formation. Two novel 1-benzoylthiourea derivatives, namely 1-benzoyl-3-(3,4-dimethoxyphenyl)thiourea, C₁₆H₁₆N₂O₃S, (I), and 1-benzoyl-3-(2-hydroxypropyl)thiourea, C₁₁H₁₄N₂O₂S, (II), have been synthesized and characterized. Compound (I) crystallizes...
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Simultaneous determination of droxidopa and carbidopa by carbon paste electrode functionalized with NiFe2O4 nanoparticle and 2-(4-ferrocenyl-[1,2,3]triazol-1-yl)-1-(naphthalen-2-yl) ethanone
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Porphyrazine with bulky 2-(1-adamantyl)-5-phenylpyrrol-1-yl periphery tuning its spectral and electrochemical properties
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Insulin-like growth factor type 2 is better than insulin-like growth factor type 1 a survival marker in patients after acute decompensation of heart failure
PublicationIntroduction:A decreased IGF-1 has been found in heart failure (HF). There are no reports assessing IGF-2 in HF, although in vitro study has shown, that IGF-2 stimulates cardiomyocyte proliferation more than IGF-1. The study aim was to compare the IGF-1 and IGF-2 concentration depending on HF exacerbation and annual survival.Material and methods:Among 75 patients hospitalized...
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Novel 2-(2-arylmethylthio-4-chloro-5-methylbenzenesulfonyl)-1-(1,3,5-triazin-2-ylamino)guanidine derivatives: Inhibition of human carbonic anhydrase cytosolic isozymes I and II and the transmembrane tumor-associated isozymes IX and XII, anticancer activity, and molecular modeling studies
PublicationA series of novel 2-(2-arylmethylthio-4-chloro-5-methylbenzenesulfonyl)-1-(6-substituted-4-chloro-1,3,5-triazin-2-ylamino)guanidine derivatives 9–20 have been synthesized by substitution of chlorine atom at the 1,3,5-triazine ring in compounds 5–8 with 3- or 4-aminobenzenesulfonamide and 4-(aminomethyl)benzenesulfonamide hydrochloride. All the synthesized compounds were evaluated for their inhibitory activity toward hCA I, II,...
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Chromatic Scheduling of 1- and 2-Processor UET Tasks on Dedicated Machines with Availability Constraints
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Chromatic scheduling of 1- and 2-processor uet tasks on dedicated machines with availability constraints.
PublicationRozważono uogólnienie klasycznego szeregowania jednostkowych zadań jedno- i dwuprocesorowych na maszynach dedykowanych. Przyjęty model pozwala na naturalne wprowadzenie wszystkich klasycznych kryteriów optymalizacyjnych dla harmonogramów. Zaproponowano algorytmy wielomianowe dla systemów rzadkich.
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Crystallographic studies of (Z) and (E) isomers of 2-amino-5-(2-chlorobenzylidene)-1-methyl-1H-imidazol-4(5H)-one
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Diaquadihydroxohexakis(tri-tert-butoxysilanethiolato)octalithium(I)-toluene(1/2). Acta Cryst. Sect. E Struct. Rep. [online]**2002 vol. 58 s. m569-m570 1 rys. 1 tab. bibliogr. 9 poz. Diakwadihydroksoheksakis (tri - tert-butoksysilanotiolano)oktalit(I)-toluen (1/2).
PublicationPraca zawiera opis syntezy i struktury krystalicznej oraz cząsteczkowej ty-tułowego związku. Prezentowana struktura zawiera cząsteczki będące formalnieadduktem o wzorze Li8(SR)6(OH)2(H2O)2 (R=(tBuO)3Si) oraz cząsteczki toluenu.Strukturę wyznaczono stosując rentgenowską analizę strukturalną monokryszta-łu.
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A DFT computational study on the molecular mechanism of the nitro group migration in the product derived from 3-nitro-2-(trifluoromethyl)-2 H -chromene and 2-(1-phenylpropylidene)malononitrile
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Total domination in versus paired-domination in regular graphs
PublicationA subset S of vertices of a graph G is a dominating set of G if every vertex not in S has a neighbor in S, while S is a total dominating set of G if every vertex has a neighbor in S. If S is a dominating set with the additional property that the subgraph induced by S contains a perfect matching, then S is a paired-dominating set. The domination number, denoted γ(G), is the minimum cardinality of a dominating set of G, while the...
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Iminodiacetate complex of cobalt(II) – Structure, physicochemical characteristics, biological properties and catalytic activity for 2-chloro-2-propen-1-ol oligomerization
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Raport z badań podczas próbnego obciążenia konstrukcji w torze nr 1 i 2 wiaduktu kolejowego w km 20,151 LK 353 w m. Pobiedziska
PublicationW pracy przedstawiono metodykę pomiarów i wyniki badań statycznych podczas próbnego obciążenia konstrukcji w torze nr 1 i 2 wiaduktu kolejowego w km 20,151 LK 353 w m. Pobiedziska. Sformułowano wnioski dotyczące rzeczywistej pracy konstrukcji i warunków dalszej eksploatacji obiektu.
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Hydrogen-bonded one-dimensional networks in 1:1 complexes of N,N`-bis(2-pi-rydyl)aryldiamines with anilic acid. Acta Cryst. Sect. C Crystal Struct.Commun.**2002 vol. 58 s. o735-o738, 4 rys. 4 tab. bibliogr. 15 poz. Jednowymiarowe sieci krystaliczne tworzone w wyniku oddziaływań wodorowych pomiędzy N,N`-bis(2-pirydylo)aryloaminami a kwasem anilowym.
PublicationOtrzymano związki kompleksowe kwasu anilowego z N,N`-bis(2-pirydylo)-1,4-diaminobenzenem oraz N,N`-bis(2-pirydylo)-4,4`-diaminobifenylem o stechiometrii1:1, a następnie przeprowadzono analizę rentgenograficzną monokryształów. Wobu przypadkach cząsteczki, wchodzące w skład kompleksu są powiązane ze sobąkonwencjonalnymi oddziaływaniami wodorowymi. Tym samym tworzy się jednowy-miarowa sieć krystaliczna z dziewięcioczłonowym pierścieniowym...