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931.
Bojan Vučković 《Discrete Mathematics》2018,341(3):820-824
Let be a graph without isolated edges, and let be a coloring of the edges, where adjacent edges may be colored the same. The color code of a vertex is the ordered -tuple , where is the number of edges incident with that are colored . If every two adjacent vertices of have different color codes, such a coloring is called multi-set neighbor distinguishing. In this paper, we prove that three colors are sufficient to produce a multi-set neighbor distinguishing edge coloring for every graph without isolated edges. 相似文献
932.
Suzana Aleksić Zoran D. Mitrović Stojan Radenović 《Periodica Mathematica Hungarica》2018,77(2):224-231
In this paper, we prove the common fixed point theorem of Jungck in \(b_v(s)\)-metric spaces. As a corollary, a common fixed point theorem in the rectangular b-metric space and the well known common fixed point theorem in b-metric spaces are obtained. 相似文献
933.
Yuanyuan Ke Dragana S. Cvetković-Ilić Jelena Višnjić 《Linear and Multilinear Algebra》2018,66(3):447-458
In this paper, we present some necessary and sufficient conditions for the existence of the (b, c)-inverse and several representations for the (b, c)-inverse related to the group inverse. Since Mary inverse, core inverse, dual core inverse and Bott–Duffin (e, f)-inverse are all the special cases of the (b, c)-inverse, related results for these inverses are obtained. 相似文献
934.
In this paper, we construct combinatorial bases of Feigin–Stoyanovsky’s type subspaces of standard modules for level k affine Lie algebra \(C_\ell ^{(1)}\). We prove spanning by using annihilating field \(x_\theta (z)^{k+1}\) of standard modules. In the proof of linear independence, we use simple currents and intertwining operators whose existence is given by fusion rules. 相似文献
935.
Huaping Huang Guantie Deng Stojan Radenović 《Journal of Fixed Point Theory and Applications》2018,20(1):52
In this paper, we present some fixed point theorems for a class of contractive mappings in b-metric spaces. We verify the T-stability of Picard’s iteration and the P property for such mappings. We also give an example to support our assertions. In addition, by using our results, we obtain the existence and uniqueness of solution to some ordinary differential equations with initial value conditions. Further, we provide the precise mathematical expressions of solutions to such equations. 相似文献
936.
In this paper we exhibit a new method of proving non-unitarity of representations, based on semi simplicity of unitarizable
representations. Non-unitarity is proved for a half of all irreducible representations of classical p-adic groups whose infinitesimal character is the same as the infinitesimal character of a generalized Steinberg representation
(as defined in Tadić, Am J Math 120:159–210, 1998). Only the Steinberg representation and its Aubert dual are expected to
be unitary here. In this way we partially generalize a result of Casselman to the case of classical groups. Our argument is
completely different from Casselman’s argument (which is hard to extend to this case). It requires a very limited knowledge
of the inducing cuspidal representation. 相似文献
937.
938.
Moore NA Mitrić R Justes DR Bonacić-Koutecký V Castleman AW 《The journal of physical chemistry. B》2006,110(7):3015-3022
A systematic experimental and theoretical investigation of the influence of reactant energy on the reactivity of (V(2)O(5))(n)=1,2(+) clusters with ethylene (Justes, D. R.; Mitri?, R.; Moore, N. A.; Bonaci?-Koutecky, V.; Castleman, A. W., Jr. J. Am. Chem. Soc., 2003, 125, 6289) provided evidence of the rate controlling steps in the reaction. Herein, we present further experimental and theoretical evidence for our recently proposed radical cation mechanism for oxygen atom transfer from (V(2)O(5))(n)=1,2(+) clusters to ethylene. In particular the results of ab initio molecular dynamics simulations are found to further support the radical cation mechanism. Experimental reaction cross sections at the zero pressure limit and rate coefficients show that the energy dependence of the reaction cross section is in accord with the Langevin formula. Evidence is presented that ion-molecule association is the rate determining step, whereas subsequent hydrogen transfer and formation of acetaldehyde proceed without significant barriers. We propose a kinetic model for the reaction cross section that fully accounts for the experimental findings. The model offers the prospect of elucidating the details of the general reaction mechanisms through a study of the energy dependence of the reaction cross sections. 相似文献
939.
Xu M Elmatad YS Sebastianelli F Moskowitz JW Bacić Z 《The journal of physical chemistry. B》2006,110(49):24806-24811
We report quantum five-dimensional (5D) calculations of the energy levels and wave functions of the hydrogen molecule, para-H2 and ortho-H2, confined inside the small dodecahedral (H2O)20 cage of the sII clathrate hydrate. All three translational and the two rotational degrees of freedom of H2 are included explicitly, as fully coupled, while the cage is treated as rigid. The 5D potential energy surface (PES) of the H2-cage system is pairwise additive, based on the high-quality ab initio 5D (rigid monomer) PES for the H2-H2O complex. The bound state calculations involve no dynamical approximations and provide an accurate picture of the quantum 5D translation-rotation dynamics of H2 inside the cage. The energy levels are assigned with translational (Cartesian) and rotational quantum numbers, based on calculated root-mean-square displacements and probability density plots. The translational modes exhibit negative anharmonicity. It is found that j is a good rotational quantum number, while the threefold degeneracy of the j = 1 level is lifted completely. There is considerable translation-rotation coupling, particularly for excited translational states. 相似文献
940.
Defects in ZnO nanorods prepared by a hydrothermal method 总被引:5,自引:0,他引:5
Tam KH Cheung CK Leung YH Djurisić AB Ling CC Beling CD Fung S Kwok WM Chan WK Phillips DL Ding L Ge WK 《The journal of physical chemistry. B》2006,110(42):20865-20871
ZnO nanorod arrays were fabricated using a hydrothermal method. The nanorods were studied by scanning electron microscopy, photoluminescence (PL), time-resolved PL, X-ray photoelectron spectroscopy, and positron annihilation spectroscopy before and after annealing in different environments and at different temperatures. Annealing atmosphere and temperature had significant effects on the PL spectrum, while in all cases the positron diffusion length and PL decay times were increased. We found that, while the defect emission can be significantly reduced by annealing at 200 degrees C, the rods still have large defect concentrations as confirmed by their low positron diffusion length and short PL decay time constants. 相似文献