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1.
给定2个图G 1 ![]()
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和G 2 ![]()
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,设G 1 ![]()
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的边集E ( G 1 ) = { e 1 , e 2 , ? , e m 1 } ![]()
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,则图G 1 ⊙ G 2 ![]()
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可由一个G 1 ![]()
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,m 1 ![]()
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个G 2 ![]()
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通过在G 1 ![]()
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对应的每条边外加一个孤立点,新增加的点记为U = { u 1 , u 2 , ? , u m 1 } ![]()
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,将u i ![]()
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分别与第i ![]()
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个G 2 ![]()
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的所有点以及G 1 ![]()
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中的边e i ![]()
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的端点相连得到,其中i = ? 1,2 , ? , m 1 ![]()
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。得到:(i)当G 1 ![]()
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是正则图,G 2 ![]()
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是正则图或完全二部图时,确定了G 1 ⊙ G 2 ![]()
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的邻接谱(A -谱)。(ii)当G 1 ![]()
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是正则图,G 2 ![]()
![]()
是任意图时,给出了G 1 ⊙ G 2 ![]()
![]()
的拉普拉斯谱(L -谱)。(iii)当G 1 ![]()
![]()
和G 2 ![]()
![]()
都是正则图时,给出了G 1 ⊙ G 2 ![]()
![]()
的无符号拉普拉斯谱(Q -谱)。作为以上结论的应用,构建了无限多对A -同谱图、L -同谱图和Q -同谱图;同时当G 1 ![]()
![]()
是正则图时,确定了G 1 ⊙ G 2 ![]()
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支撑树的数量和Kirchhoff指数。 相似文献
2.
Lin Yu Wu Yeyu Tan Xuecai Wu Jiawen Huang Kejing Mi Yan Ou Panpan Wei Fucun 《Journal of Solid State Electrochemistry》2022,26(4):959-971
Journal of Solid State Electrochemistry - An ultrasensitive “signal-off–on” electrochemiluminescence (ECL) biosensor is constructed based on f1-TiO2/g-C3N4/PDA for thrombin... 相似文献
3.
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Sudipta Ponra Jianping Yang Haibo Wu Wangchuk Rabten Pher G. Andersson 《Chemical science》2020,11(41):11189
We have developed a simple protocol for the preparation of 1,2-fluorohydrin by asymmetric hydrogenation of fluorinated allylic alcohols using an efficient azabicyclo thiazole-phosphine iridium complex. The iridium-catalyzed asymmetric synthesis of chiral 1,2-fluorohydrin molecules was carried out at ambient temperature with operational simplicity, and scalability. This method was compatible with various aromatic, aliphatic, and heterocyclic fluorinated compounds as well as a variety of polyfluorinated compounds, providing the corresponding products in excellent yields and enantioselectivities.We have developed a simple protocol for the preparation of 1,2-fluorohydrin by asymmetric hydrogenation of fluorinated allylic alcohols using an efficient azabicyclo thiazole-phosphine iridium complex. 相似文献
5.
Guanjia Zhu Prof. Wan Jiang Prof. Jianping Yang 《Chemistry (Weinheim an der Bergstrasse, Germany)》2020,26(7):1488-1496
The successful commercialization of promising silicon-based anode materials has been hampered by their poor cycling stability caused by the huge volume change. Integration of the carbon matrix with silicon-based (C/Si-based) anode materials has been demonstrated to be a powerful solution to achieve satisfactory electrochemical performance. This minireview aims to outline recent developments on C/Si-based composites, with the emphasis on the importance of carbon distribution at multiple scales. In addition, the forms of the carbon framework (carbon sources and doping of heteroatoms) have been summarized. Particularly, a novel C/Si-based hybrid with carbon distributed at the atomic scale has been highlighted. 相似文献
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本文采用关联分析方法研究了稳定温度分层湍流中的结构特性、输运特性,以及热量、动量逆梯度输运现象的尺度效应及其参数演化.首先采用大涡模拟方法对稳定分层湍流中的结构特性和输运特性进行了分析,将逆梯度输运发生的时间尺度作为已知条件,结合关联量分析方法在波数空间中的解析解,对逆梯度输运现象的尺度效应进行了分析研究.结果发现,稳定分层强度较大的流动中发生垂向热量及动量逆梯度输运现象,发生的结构尺度与关联分析所发现垂向热量、动量逆梯度输运的波数形成了呼应.随着分层强度增加,热量、动量的输运强度均受抑制,与逆梯度输运关联的流场结构尺度减小,同样的效应也发生在流场结构向下游演化的过程中. 相似文献
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9.
Dr. Mykhaylo Dukh Walter A. Tabaczynski Sairaman Seetharaman Dr. Zhongping Ou Prof. Dr. Karl M. Kadish Prof. Dr. Francis D'Souza Prof. Dr. Ravindra K. Pandey 《Chemistry (Weinheim an der Bergstrasse, Germany)》2020,26(65):14996-15006
A series of chlorin-bacteriochlorin dyads (derived from naturally occurring chlorophyll-a and bacteriochlorophyll-a), covalently connected either through the meso-aryl or β-pyrrole position (position-3) via an ester linkage have been synthesized and characterized as a new class of far-red emitting fluorescence resonance energy transfer (FRET) imaging, and heavy atom-lacking singlet oxygen-producing agents. From systematic absorption, fluorescence, electrochemical, and computational studies, the role of chlorin as an energy donor and bacteriochlorin as an energy acceptor in these wide-band-capturing dyads was established. Efficiency of FRET evaluated from spectral overlap was found to be 95 and 98 % for the meso-linked and β-pyrrole-linked dyads, respectively. Furthermore, evidence for the occurrence of FRET from singlet-excited chlorin to bacteriochlorin was secured from studies involving femtosecond transient absorption studies in toluene. The measured FRET rate constants, kFRET, were in the order of 1011 s−1, suggesting the occurrence of ultrafast energy transfer in these dyads. Nanosecond transient absorption studies confirmed relaxation of the energy transfer product, 1BChl*, to its triplet state, 3Bchl*. The 3Bchl* thus generated was capable of producing singlet oxygen with quantum yields comparable to their monomeric entities. The occurrence of efficient FRET emitting in the far-red region and the ability to produce singlet oxygen make the present series of dyads useful for photonic, imaging and therapy applications. 相似文献
10.