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1.
For an integer , a graph is -hamiltonian if for any vertex subset with , is hamiltonian, and is -hamiltonian connected if for any vertex subset with , is hamiltonian connected. Thomassen in 1984 conjectured that every 4-connected line graph is hamiltonian (see Thomassen, 1986), and Ku?zel and Xiong in 2004 conjectured that every 4-connected line graph is hamiltonian connected (see Ryjá?ek and Vrána, 2011). In Broersma and Veldman (1987), Broersma and Veldman raised the characterization problem of -hamiltonian line graphs. In Lai and Shao (2013), it is conjectured that for , a line graph is -hamiltonian if and only if is -connected. In this paper we prove the following.(i) For an integer , the line graph of a claw-free graph is -hamiltonian if and only if is -connected.(ii) The line graph of a claw-free graph is 1-hamiltonian connected if and only if is 4-connected. 相似文献
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Delay‐dependent criteria on the global attractivity of Nicholson's blowflies model with patch structure 下载免费PDF全文
Renwei Jia Zhiwen Long Mingquan Yang 《Mathematical Methods in the Applied Sciences》2017,40(11):4222-4232
In this paper, we investigate the effect of delay on the asymptotic behavior of Nicholson's blowflies model with patch structure and multiple time‐varying delays. By using the fluctuation lemma and some differential inequality technique, delay‐dependent criteria are obtained for the global attractivity of the addressed system. Meanwhile, some numerical examples are given to illustrate the feasibility of the theoretical results. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
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Guo Liping Shen Xiangqian Song Fuzhan Liu Mingquan Zhu Yongwei 《Journal of Sol-Gel Science and Technology》2011,58(2):524-529
The magnetic hard-soft CoFe2O4–CoFe2 nanocomposite microfibers have been synthesized by the sol–gel and partial reduction process, where CoFe2O4 ferrite is the hard phase with a grain size range from 43 to 62 nm and CoFe2 alloy the soft phase with grain sizes around 30 nm. These nanocomposite microfibers exhibit the magnetization behavior like
a single phase magnetic material, and the magnetic exchange coupling effects are observed between the hard and soft phases.
The specific saturation magnetization of CoFe2O4–CoFe2 nanocomposite microfibers shows an increase tendency with the increasing weight fraction of CoFe2, while the coercivity is consequently reduced. The nanocomposite microfibers have a maximum remanence 51.7 Am2/kg when the phase contents of CoFe2 around 28 wt% and CoFe2O4 about 72 wt%. 相似文献
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采用傅里叶模方法,分析了单点金刚石铣削后KDP晶体表面小尺度波纹的周期和幅值对单层增透膜折射率、厚度以及透射率的影响。研究表明:膜层最佳折射率在1.22左右,在此折射率条件下,保证透射率大于99%的单层增透膜的理想厚度范围应为180~220 nm,并且折射率和膜厚值的选取基本不受晶体表面小尺度波纹周期和幅值的影响。若只考虑SPDT法加工后KDP晶体表面小尺度波纹周期和幅值的实际范围,透射率基本不受波纹周期的影响,但却会随波纹幅值的增大而加速下降。理想镀膜条件下透射率最大值大于99%,并且通常在99.67%~99.94%之间。 相似文献
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Changhong Zhao Mingquan Yang Guoqiang Peng 《Nonlinear Analysis: Real World Applications》2010,11(1):117-121
In this paper the convergence behavior of an epidemic model with time-varying delays are considered. Some sufficient conditions are established to ensure that all solutions of the epidemic model with permitted initial conditions converge exponentially to zero, which are new and complement previously known results. 相似文献
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Wang Tingting Yin Rongzhang Ye Mingquan Wan Nan Shi Jiadong 《International Journal of Theoretical Physics》2021,60(4):1507-1515
Based on quantum renormalization group (QRG) method, we investigated quantum coherence and quantum phase transition (QPT) in XXZ chain and XY chain, respectively. The results show that both the geometric quantum coherence and entropic coherecne can accurately indicate the QPT at critical point after enough iteration steps. Moreover, the increasing anisotropy parameter destroys the coherence in the XXZ chain, while enhances it in the XY chain. In addition, focused on the XXZ chain we analyzed the nonanalytic phenomena and scaling behaviors with different theoretical exponents in detail.
相似文献9.
将碱金属原子径向方程化为广义拉盖尔多项式微分方程,方便地求出了碱金属原子体系的能级及广义拉盖尔多项式表示的径向波函数。所得结果不仅适用于碱金属原子,也适用于氢原子,类氢离子。 相似文献
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