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941.
Colored graphs without colorful cycles 总被引:1,自引:0,他引:1
A colored graph is a complete graph in which a color has been assigned to each edge, and a colorful cycle is a cycle in which
each edge has a different color. We first show that a colored graph lacks colorful cycles iff it is Gallai, i.e., lacks colorful
triangles. We then show that, under the operation mon ≡ m + n − 2, the omitted lengths of colorful cycles in a colored graph form a monoid isomorphic to a submonoid of the natural numbers
which contains all integers past some point. We prove that several but not all such monoids are realized.
We then characterize exact Gallai graphs, i.e., graphs in which every triangle has edges of exactly two colors. We show that
these are precisely the graphs which can be iteratively built up from three simple colored graphs, having 2, 4, and 5 vertices,
respectively. We then characterize in two different ways the monochromes, i.e., the connected components of maximal monochromatic
subgraphs, of exact Gallai graphs. The first characterization is in terms of their reduced form, a notion which hinges on
the important idea of a full homomorphism. The second characterization is by means of a homomorphism duality.
The first author would like to express his thanks for support by project LN 00A056 of the Ministry of Education of the Czech
Republic.
The second author would like to express his thanks for support by project LN 00A056 of the Ministry of Education of the Czech
Republic, by the NSERC of Canada and by the Gudder Trust of the University of Denver. 相似文献
942.
A series of 1,8,9-tris(phosphorus) substituted anthracenes was synthesised and fully characterised. Their molecular geometry is such that the middle phosphorus atom is in a highly congested space, with terminal phosphorus atoms in close proximity. The middle phosphorus atom accepts electron density from none, one or both terminal phosphorus atoms to form P-P bonds. Thus phosphino (repulsively interacting), metaphosphonato (single donor stabilised) as well as phosphenium (doubly phosphine donor stabilised) environments around the phosphorus atom in position 9 were synthesized and structurally characterised. Observed P[dot dot dot]P distances range from 2.22 to 3.27 A. 相似文献
943.
Racková L Jancinová V Petríková M Drábiková K Nosál R Stefek M Kostálová D Prónayová N Kovácová M 《Natural product research》2007,21(14):1234-1241
The antiradical activity, protective effect against lipid peroxidation of liposomal membrane, and inhibitory effect on whole blood reactive oxygen species (ROS) liberation of Glycyrrhiza glabra crude extract and glycyrrhizin, its major compound, were assessed. The liquorice extract showed significant activity in all the three assay systems used in a dose dependent manner. It displayed remarkable reactivity with free stable 1,1'-diphenyl-2-picrylhydrazyl (DPPH) radical, inhibitory efficacy in peroxidatively damaged unilamellar dioleoyl phosphatidylcholine (DOPC) liposomes, and inhibition of ROS chemiluminescence, generated by whole blood, induced by both receptor-bypassing stimuli (PMA) and receptor operating stimuli (Opz) in the ranking order of stimuli PMA> Opz. These activities may be attributed to phenolic antioxidants involving isoflavan derivatives, coumarins and chalcones. Nonetheless, triterpene saponin glycyrrhizin exhibited no efficacy in the system of DPPH reaction and peroxidation of liposomal membrane, and negligible inhibition of chemiluminescence generated by inflammatory cells. These results indicate that the mechanism of anti-inflammatory effect of glycyrrhizin most probably does not involve ROS and this major constituent is not responsible for the inhibition effects of liquorice extract on neutrophil functions. 相似文献
944.
Sýkora J Slavícek P Jungwirth P Barucha J Hof M 《The journal of physical chemistry. B》2007,111(21):5869-5877
We explored the time-dependent Stokes shifts of fluorescent dyes containing an anthroyloxy chromophore (2-AS, 9-AS, and 16-AP) in bilayers composed of palmitoyl-oleoyl-phosphatidylcholine. The obtained data revealed a nontrivial solvation response of these dyes, which are located in the backbone region of the bilayer with a gradually increasing depth. For comparison, steady-state emission spectra in the neat solvents of various polarities and viscosities were also recorded. The results indicate that on the short picosecond time scale the AS dyes undergo complex photophysics including formation of states with a charge-transfer character. This observation is supported by ab initio calculations of the excited states of 9-methylanthroate. The slower nanosecond part of the relaxation process can be attributed to the solvation response of the dyes. A slowdown in solvent relaxation is observed upon moving toward the center of the bilayer. A mechanism similar to preferential solvation present in the mixture of a polar and nonpolar solvent is considered to explain the obtained data. 相似文献
945.
trans-PdBr(N-Succ)(PPh3)2 (1) is a universally effective precatalyst for Suzuki-Miyaura cross-couplings of benzylic halides with aryl- or heteroarylboronic acids. Substituted aryl halides and halogenated cyclic enones can be cross-coupled with aryl- or vinylboronic acids in excellent yields. Catalyst recycling is also demonstrated. 相似文献
946.
A novel LC-fluorescence detection method based on the use of a monolithic column for the determination of norfloxacin, ciprofloxacin, and enrofloxacin antibiotic residues in environmental waters was developed. Fluoroquinolones (FQs) were isocratically eluted using a mobile phase consisting of 0.025 M phosphoric acid solution at pH 3.0 with tetrabutylammonium and methanol (960:40, v/v) through a Chromolith Performance RP-18e column (100x4.6 mm) at a flow rate of 2.5 mL/min and detected at excitation and emission wavelengths of 278 and 450 nm, respectively. After acidification and addition of EDTA, water samples were extracted using an Oasis HLB cartridge. Linearity was evaluated in the range of 0.05 to 1 microg/mL and correlation coefficients of 0.9945 for norfloxacin, 0.9974 for ciprofloxacin, and 0.9982 for enrofloxacin were found. The limit of quantification was 25 ng/L for the three FQs. The recovery of FQs spiked into river water samples at 25, 50, and 100 ng/L fortification levels ranged from 76.5 to 91.0% for norfloxacin, 78.5 to 97.2% for ciprofloxacin, and 79.4 to 93.6% for enrofloxacin. This method was successfully applied to the analysis of water samples from the Mondego River, and ciprofloxacin and enrofloxacin residues were detected in eight water samples. 相似文献
947.
Petr Dementyev Karl‐Heinz Dostert Francisco Ivars‐Barcel Casey P. O'Brien Francesca Mirabella Swetlana Schauermann Xiaoke Li Joachim Paier Joachim Sauer Hans‐Joachim Freund 《Angewandte Chemie (Weinheim an der Bergstrasse, Germany)》2015,127(47):14148-14152
We present a mechanistic study on the interaction of water with a well‐defined model Fe3O4(111) surface that was investigated by a combination of direct calorimetric measurements of adsorption energies, infrared vibrational spectroscopy, and calculations bases on density functional theory (DFT). We show that the adsorption energy of water (101 kJ mol−1) is considerably higher than all previously reported values obtained by indirect desorption‐based methods. By employing 18O‐labeled water molecules and an Fe3O4 substrate, we proved that the generally accepted simple model of water dissociation to form two individual OH groups per water molecule is not correct. DFT calculations suggest formation of a dimer, which consists of one water molecule dissociated into two OH groups and another non‐dissociated water molecule creating a thermodynamically very stable dimer‐like complex. 相似文献
948.
Origin‐independent sum over states simulations of magnetic and electronic circular dichroism spectra via the localized orbital/local origin method
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Although electronic and magnetic circular dichroism (ECD, MCD) spectra reveal valuable details about molecular geometry and electronic structure, quantum‐chemical simulations significantly facilitate their interpretation. However, the simulated results may depend on the choice of coordinate origin. Previously (?těpánek and Bou?, J. Comput. Chem. 2013, 34, 1531), the sum‐over‐states (SOS) methodology was found useful for efficient MCD computations. Approximate wave functions were “resolved” using time‐dependent density functional theory, and the origin‐dependence was avoided by placing the origin to the center of mass of the investigated molecule. In this study, a more elegant way is proposed, based on the localized orbital/local origin (LORG) formalism, and a similar approach is also applied to generate ECD intensities. The LORG‐like approach yields fully origin‐independent ECD and MCD spectra. The results thus indicate that the computationally relatively cheap SOS simulations open a new way of modeling molecular properties, including those involving the origin‐dependent magnetic dipole moment operator. © 2015 Wiley Periodicals, Inc. 相似文献
949.
The production of octahydrocoumarin, which can serve as a replacement for toxic coumarin, was investigated using 5% Ru on active carbon (Ru/C) as the catalyst for the hydrogenation of couma-rin. The hydrogenation was studied by optimizing the reaction conditions (pressure, solvent and coumarin concentration). The activity and selectivity of the Ru/C catalyst were compared for dif-ferent solvents. The mechanism of coumarin hydrogenation was deduced. The formation of side products was explained. The optimal hydrogenation reaction conditions were: 130 °C, 10 MPa, 60 wt% coumarin in methanol, and 0.5 wt% (based on coumarin) of Ru/C catalyst. At the complete conversion of coumarin, the selectivity to the desired product was 90%. 相似文献
950.
Biocatalysed precipitation of an insoluble product accumulated on the enzyme-modified electrode surface was applied as the amplification path for low concentration sensing of hydrogen peroxide and glucose. Sensitive electrochemical and quartz-crystal microbalance (QCM) biosensors based on biocatalytic precipitation were developed. A horseradish peroxidase (HRP) monolayer-modified electrode was used to sense H2O2 via the oxidation of 4-chloro-1-naphthol (4CN) forming insoluble benzo-4-chlorocyclohexadienone. Additionally, the bienzyme system employed glucose oxidase (GOx) linked to HRP/4CN. The amount of the precipitate assembled on the sensing surface corresponded to the concentration of analytes and to the length of the incubation interval. The precipitated deposits were followed as a change of impedance using cyclic voltammetry (CV), mass change was determined continuously using a microgravimetric quartz-crystal microbalance, and optical microscopy enabled the visualisation of the precipitate. Regeneration of the enzyme-modified electrode was performed using cathodic reduction of the insoluble product. Thus, a simple biosensor for multiple analyses with low detection limits and of low cost can be developed. 相似文献