On Spanning Disjoint Paths in Line Graphs

Spanning connectivity of graphs has been intensively investigated in the study of interconnection networks (Hsu and Lin, Graph Theory and Interconnection Networks, 2009). For a graph G and an integer s > 0 and for ${u, v \in V(G)}$ with u ≠ v, an (s; u, v)-path-system of G is a subgraph H consisting of s internally disjoint (u,v)-paths. A graph G is spanning s-connected if for any ${u, v \in V(G)}$ with u ≠ v, G has a spanning (s; u, v)-path-system. The spanning connectivity κ*(G) of a graph G is the largest integer s such that G has a spanning (k; u, v)-path-system, for any integer k with 1 ≤ k ≤ s, and for any ${u, v \in V(G)}$ with u ≠ v. An edge counter-part of κ*(G), defined as the supereulerian width of a graph G, has been investigated in Chen et al. (Supereulerian graphs with width s and s-collapsible graphs, 2012). In Catlin and Lai (Graph Theory, Combinatorics, and Applications, vol. 1, pp. 207–222, 1991) proved that if a graph G has 2 edge-disjoint spanning trees, and if L(G) is the line graph of G, then κ*(L(G)) ≥ 2 if and only if κ(L(G)) ≥ 3. In this paper, we extend this result and prove that for any integer k ≥ 2, if G ₀, the core of G, has k edge-disjoint spanning trees, then κ*(L(G)) ≥ k if and only if κ(L(G)) ≥ max{3, k}.     

On (s,t)-supereulerian graphs in locally highly connected graphs

Given two nonnegative integers s and t, a graph G is (s,t)-supereulerian if for any disjoint sets X,Y⊂E(G) with |X|≤s and |Y|≤t, there is a spanning eulerian subgraph H of G that contains X and avoids Y. We prove that if G is connected and locally k-edge-connected, then G is (s,t)-supereulerian, for any pair of nonnegative integers s and t with s+t≤k−1. We further show that if s+t≤k and G is a connected, locally k-edge-connected graph, then for any disjoint sets X,Y⊂E(G) with |X|≤s and |Y≤t, there is a spanning eulerian subgraph H that contains X and avoids Y, if and only if G−Y is not contractible to K₂ or to K_2,l with l odd.     

共吸附对卟啉、酞菁/二氧化钛复合电极光电特性的影响

制备了ZnTSSP／TiO2、GaTSPC／TiO2和共吸附ZnTSSP、GaTSPc／TiO2电极，并研究了它们的光电特性．结果表明，共吸附的ZnTSSP、GaTSPc／TiO2电极不仅拓宽了光电响应范围，而且提高了光电转换效率，特别是提高了GaTSPc的光电转换效率．其原因可能是GaTSPc的聚集体没有敏化作用，而卟啉和酞菁分子与TiO2共吸附可以减少GaTSPc的聚集，有效地增强了GaTSPc的敏化能力     

烧绿石结构La2Ti2-xCoxO7的制备及可见光分解水性能

采用溶胶-凝胶法制备了烧绿石结构的光催化剂La2Ti2-xCoxO7 (x=0, 0.05, 0.10, 0.20), 通过XRD、FT-IR、BET、UV-Vis漫反射光谱等测试手段对催化剂的晶体结构、比表面积以及漫反射光谱进行了表征, 采用光催化反应装置和气相色谱仪对产氢速率进行了测定.研究结果表明, La2Ti2O7只在紫外光下有吸收, 而Co对La2Ti2O7的B位掺杂能使其在可见光区有明显的吸收; La2Ti2O7的Co掺杂不仅提高了其在紫外光照射下分解水制氢的能力, 而且可使其在可见光照射下分解水制氢; 在La2Ti2-xCoxO7(x=0-0.20)系列中, La2Ti1.9Co0.1O7分解水制氢能力最强.     

Ab initio study on phase transition and magnetism of BiFeO3 under pressure

In this paper the first-principles calculations within local spin density approximation (LSDA)+U show that BiFeO3 experiences a mixed phase state with P4mm structure being the intermediate phase before the pressure of phase transition is reached. The critical pressure for the insulator-metal transition (IMT) is found to be about 50 GPa. A pressure induced crossover of high-spin states and low-spin states is observed close to the IMT pressure in R3c structure. The LSDA+U calculations account well for the mechanism of the IMT and crossover of spin states predicted in recent experiment (Ref.[1]).     

离子液体在Wacker反应中的应用

在60℃及2 MPa条件下,以PdCl2-CuCl2为催化剂,分别在无溶剂、酸性水溶液、1-丁基-3-甲基咪唑六氟磷酸盐(bmimPF6)离子液体为溶剂研究了分子氧氧化1-庚烯生成2-庚酮的Wacker反应。结果表明,在无溶剂、酸性水溶液、bmimPF6溶剂中,均可以得到目标产物2-庚酮,反应6 h后转化率均可达90%以上。在离子液体bmimPF6中,2-庚酮的选择性高于无溶剂和酸性水溶液中的结果。分别在酸性水溶液、bmimPF6溶剂中进行催化剂重复使用实验,研究不同溶剂中催化剂的稳定性。结果显示,在离子液体bmimPF6中催化剂的活性更加稳定,表明可以用离子液体取代传统的有毒、易挥发溶剂进行Wacker反应。