6,896 research outputs found

    Conflict-free connection numbers of line graphs

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    A path in an edge-colored graph is called \emph{conflict-free} if it contains at least one color used on exactly one of its edges. An edge-colored graph GG is \emph{conflict-free connected} if for any two distinct vertices of GG, there is a conflict-free path connecting them. For a connected graph GG, the \emph{conflict-free connection number} of GG, denoted by cfc(G)cfc(G), is defined as the minimum number of colors that are required to make GG conflict-free connected. In this paper, we investigate the conflict-free connection numbers of connected claw-free graphs, especially line graphs. We first show that for an arbitrary connected graph GG, there exists a positive integer kk such that cfc(Lk(G))2cfc(L^k(G))\leq 2. Secondly, we get the exact value of the conflict-free connection number of a connected claw-free graph, especially a connected line graph. Thirdly, we prove that for an arbitrary connected graph GG and an arbitrary positive integer kk, we always have cfc(Lk+1(G))cfc(Lk(G))cfc(L^{k+1}(G))\leq cfc(L^k(G)), with only the exception that GG is isomorphic to a star of order at least~55 and k=1k=1. Finally, we obtain the exact values of cfc(Lk(G))cfc(L^k(G)), and use them as an efficient tool to get the smallest nonnegative integer k0k_0 such that cfc(Lk0(G))=2cfc(L^{k_0}(G))=2.Comment: 11 page

    A study on the association of the chromosome 12p13 locus with sporadic late-onset alzheimer's disease in Chinese

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    Recent linkage and association studies have implicated the chromosome 12p13 locus as possibly harboring genetic variants predisposed to Alzheimer's disease (AD). We attempted to replicate this association in a Chinese data set comprised of 256 AD cases and 264 age-matched normal controls. A total of 14 single nucleotide polymorphisms (SNPs) were examined. Single marker association revealed the two SNPs in NCAPD2 (rs7311174 and rs2072374) as showing nominal significant p values (p = 0.0491 and 0.0116, respectively). Haplotype analysis found LD block one to be significantly associated with AD (global p = 0.0250). Haplotypes CGGATG and CAGTCG were also significantly associated with AD (p = 0.0498 and p = 0.0482, respectively). These genetic analyses provide evidence that the chromosome 12p13 locus is associated with AD in Chinese. © 2009 S. Karger AG, Basel.postprin

    Effect of isospin dependent cross-section on fragment production in the collision of charge asymmetric nuclei

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    To understand the role of isospin effects on fragmentation due to the collisions of charge asymmetric nuclei, we have performed a complete systematical study using isospin dependent quantum molecular dynamics model. Here simulations have been carried out for 124Xn+124Xn^{124}X_{n}+ ^{124}X_{n}, where n varies from 47 to 59 and for 40Ym+40Ym^{40}Y_{m}+ ^{40}Y_{m}, where m varies from 14 to 23. Our study shows that isospin dependent cross-section shows its influence on fragmentation in the collision of neutron rich nuclei

    Effect of different rhBMP-2 and TG-VEGF ratios on the formation of heterotopic bone and neovessels

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    Bioengineered bone substitutes might represent alternatives to autologous bone grafts in medically compromised patients due to reduced operation time and comorbidity. Due to the lack of an inherent vascular system their dimension is limited to the size of critical bone size defect. To overcome this shortcoming, the experiment tried to create heterotopic bone around vessels. In vivo, a two-component fibrin and thrombin gel containing recombinant bone morphogenic protein (rhBMP-2) and transglutamate vascular endothelial growth factor (TG-VEGF) in different ratios, respectively, was injected into a dimensionally stable membrane tube, wrapped around the femoral vessel bundle in twelve New Zealand white rabbits. Sacrifice occurred eight weeks postoperatively. Microcomputed tomography of the specimens showed significantly increased bone volume in the rhBMP-2 to TG-VEGF ratio of 10 to 1 group. Histology showed new bone formation in close proximity to the vessel bundle. Immunohistochemistry detected increased angiogenesis within the newly formed bone in the rhBMP-2 to TG-VEGF ratios of 3 to 1 and 5 to 1. Heterotopic bone was engineered in vivo around vessels using different rhBMP-2 and TG-VEGF ratios in a fibrin matrix injected into a dimensionally stable membrane tube which prevented direct contact with skeletal muscles.published_or_final_versio

    A randomised controlled trial to compare immunogenicity between intramuscular and intradermal trivalent influenza vaccination in nursing home older adults

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    BACKGROUND: Immunosenescence in older adults contributes to unsatisfactory immunogenicity towards influenza vaccine. Intradermal (ID) administration of influenza vaccine has been suggested to improve immunogenicity but there is no study regarding the immunogenicity of ID influenza vaccination in nursing home older adults ...postprin

    The generalized 3-edge-connectivity of lexicographic product graphs

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    The generalized kk-edge-connectivity λk(G)\lambda_k(G) of a graph GG is a generalization of the concept of edge-connectivity. The lexicographic product of two graphs GG and HH, denoted by GHG\circ H, is an important graph product. In this paper, we mainly study the generalized 3-edge-connectivity of GHG \circ H, and get upper and lower bounds of λ3(GH)\lambda_3(G \circ H). Moreover, all bounds are sharp.Comment: 14 page

    Effects of calcium phosphate nanocrystals on osseointegration of titainium implant in irradiated bone

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    Radiotherapy may compromise the integration of implant and cause implant loss. Implant surface modifications have the possibility of promoting cell attachment, cell growth, and bone formation which ultimately enhance the osseointegration process. The present study aimed to investigate the effects of calcium phosphate nanocrystals on implant osseointegration in irradiated bone. Sixteen rabbits were randomly assigned into control and nano-CaP groups, receiving implants with dual acid-etched surface or dual acid-etched surface discretely deposited of nanoscale calcium-phosphate crystals, respectively. The left leg of all the rabbits received 15 Gy radiation, followed by implants placement one week after. Four animals in each group were sacrificed after 4 and 12 weeks, respectively. Implant stability quotient (ISQ), ratio of bone volume to total volume (BV/TV), bone growth rate, and bone-to-implant contact (BIC) were evaluated. The nano-CaP group showed significantly higher ISQ (week 12, P = 0.031) and bone growth rate (week 6, P = 0.021; week 9, P = 0.001) than that in control group. No significant differences in BV/TV and BIC were found between two groups. Titanium implant surface modified with CaP nanocrystals provides a potential alternative to improve bone healing around implant in irradiated bone.published_or_final_versio
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