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6. A P\'{o}sa-type condition of potentially $_3C_\ell$-graphic sequences

Author

Li, Guang-Ming and Yin, Jian-Hua

Subjects
Mathematics - Combinatorics
Abstract

A non-increasing sequence $\pi=(d_1,\ldots,d_n)$ of nonnegative integers is said to be graphic if it is realizable by a simple graph $G$ on $n$ vertices. A graphic sequence $\pi=(d_1,\ldots,d_n)$ is said to be potentially $_3C_\ell$-graphic if there is a realization of $\pi$ containing cycles of every length $r$, $3\le r\le \ell$. It is well-known that if the non-increasing degree sequence $(d_1,\ldots,d_\ell)$ of a graph $G$ on $\ell$ vertices satisfies the P\'{o}sa condition that $d_{\ell+1-i}\ge i+1$ for every $i$ with $1\le i<\frac{\ell}{2}$, then $G$ is either pancyclic or bipartite. In this paper, we obtain a P\'{o}sa-type condition of potentially $_3C_\ell$-graphic sequences, that is, we prove that if $\ell\ge 5$ is an integer, $n\ge \ell$ and $\pi=(d_1,\ldots,d_n)$ is a graphic sequence with $d_{\ell+1-i}\ge i+1$ for every $i$ with $1\le i<\frac{\ell}{2}$, then $\pi$ is potentially $_3C_\ell$-graphic. This result improves a Dirac-type condition of potentially $_3C_\ell$-graphic sequences due to Yin et al. [Appl. Math. Comput., 353 (2019) 88--94], and asymptotically answers a problem due to Li et al. [Adv. Math., 33 (2004) 273--283]. As an application, this result also completely implies the value $\sigma(C_\ell,n)$ for $\ell\ge 5$ and $n\ge \ell$, improving the result of Lai [J. Combin. Math. Combin. Comput., 49 (2004) 57--64].

Published
2019

8. LBP-045 Efficacy and safety of HSK31679, a thyroid hormone receptor β agonist, for the treatment of asian non-alcoholic fatty liver disease: a multicenter randomized, double-blind, placebo-controlled, phase 2a trial

Author

Xue, Feng, primary, Ma, Wei, additional, Gao, Jixian, additional, Chen, Jinjun, additional, Yue, Wei, additional, Bu, Peili, additional, Chen, Qincong, additional, Chen, Hao, additional, Sheng, Jianlong, additional, Chen, Liang, additional, Liu, Fei, additional, Zhu, Chuanwu, additional, Zhong, Bihui, additional, Li, Guang-Ming, additional, Zhang, Jianming, additional, Wang, Le, additional, Cai, Qingxian, additional, Pei, Zhaohui, additional, Chen, Ying, additional, Yao, Lvfeng, additional, Lv, Lingchun, additional, Gao, Yanhang, additional, Xia, Bihua, additional, Ji, Xianyou, additional, Liu, Yang, additional, Du, Laijing, additional, Ma, Genshan, additional, Hao, Kunyan, additional, Huo, Yong, additional, and Wei, Lai, additional

Published
2024
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10. Tenofovir Alafenamide for Pregnant Chinese Women With Active Chronic Hepatitis B: A Multicenter Prospective Study

Author

Zeng, Qing-Lei, Zhang, Hong-Xu, Zhang, Ji-Yuan, Huang, Shuo, Li, Wei-Zhe, Li, Guang-Ming, Pan, Ya-Jie, Feng, Ying-Hua, Li, Zhi-Qin, Zhang, Guo-Fan, Xu, Jiang-Hai, Lin, Wan-Bao, Xu, Guang-Hua, Liu, Na, Zhang, Guo-Qiang, Li, Guo-Tao, Li, Wei, Zeng, Yan-Li, Song, Ning, Wang, Meng, Zhang, Da-Wei, Chen, Zhi-Min, Cui, Guang-Lin, Li, Juan, Lv, Jun, Liu, Yan-Min, Liang, Hong-Xia, Sun, Chang-Yu, Zhou, Yi-Hua, Yu, Zu-Jiang, and Wang, Fu-Sheng

Published
2022
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15. Efficacy and safety of sirolimus early conversion protocol in liver transplant patients with hepatocellular carcinoma: A single-arm, multicenter, prospective study

Author

Su, Ren-Yi, Ling, Sun-Bin, Shan, Qiao-Nan, Wei, Xu-Yong, Wang, Rui, Jia, Chang-Ku, Zhuang, Li, Shen, Tian, Ding, Li-Min, Xu, Zhi-Dan, Luo, Lai-Bang, Sun, Li-Bo, Li, Guang-Ming, Fang, Tai-Shi, Jiang, Nan, Zhang, Kun, Su, Zhao-Jie, Peng, Zhi-Hai, Lang, Ren, Jiang, Tao, He, Qiang, Ye, Lin-Sen, Yang, Yang, He, Yu-Ting, Guo, Wen-Zhi, Lan, Liu-Gen, Sun, Xu-Yong, Chen, Dong, Chen, Zhi-Shui, Zhou, Da-Wei, Ye, Shao-Jun, Ye, Qi-Fa, Tian, Min, Shi, Jian-Hua, Wang, Bo, Liu, Jiang, Lu, Qian, Rao, Wei, Cai, Jin-Zhen, Lv, Tao, Yang, Jia-Yin, Wang, Pu-Sen, Zhong, Lin, Ma, Jing-Sheng, Li, Qi-Gen, Wu, Sheng-Dong, Lu, Chang-Jiang, Lu, Cai-De, Zhang, Dong-Hua, Wang, Xuan, Li, Zi-Qiang, Teng, Mu-Jian, Li, Jun-Jie, Jiang, Wen-Tao, Li, Jian-Hua, Zhang, Quan-Bao, Zhu, Ning-Qi, Wang, Zheng-Xin, He, Kang, Xia, Qiang, Song, Shao-Hua, Fu, Zhi-Ren, Qiu, Wei, Lv, Guo-Yue, Song, Rui-Peng, Wang, Ji-Zhou, Wang, Zheng, Zhou, Jian, Chen, Gang, Zhao, Ying-Peng, Li, Li, Hu, Ze-Min, Luo, Qi-Jie, Si, Zhong-Zhou, Xie, Bin, He, Xiao-Shun, Guo, Zhi-Yong, Zheng, Shu-Sen, and Xu, Xiao

Published
2022
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46. LA-ICP-MS Zircon U-Pb Dating and Geochemistry of Late Cretaceous Quartz Diorite in the Nuri Cu-Mo-W Deposit, South Tibet

Author

DONG Sui-liang, HUANG Yong, LI Guang-ming, ZHANG Li, HUANG Han-xiao, and ZHANG Hui

Subjects
nuri cu-mo-w deposit in south tibet, quartz diorite, la-icp-ms u-pb dating, subduction of oceanic crust, Geology, QE1-996.5, Ecology, QH540-549.5
Abstract

The Nuri deposit is located at the south margin of the Gangdese metallogenic belt in Tibet. Its mineralization age revealed by Re-Os dating of molybdenite is 23 Ma, which is consistent with that of the Mingze and Chengba deposits. However, the ore-related rocks have not yet been identified. In this study, we report the age and geochemistry of the newly discovered quartz diorite related to mineralization. LA-ICP-MS zircon U-Pb dating indicates that the diorite intruded at 93.42±0.76 Ma. The age is consistent with the ages of Shangbujiala(93 Ma) and Kelu(90 Ma) copper-gold deposits in the same metallogenic belt. These ages and previous ages indicate a two-stage ore-forming process. Major elemental analysis shows that quartz diorites contain 57.19%-58.23% SiO2, 15.78-16.03% A12O3, and 4.74%-5.32% MgO, with Mg# indicators of 65.2-67.3. Trace element composition suggests that these rocks are rich in large ion lithophile elements and light rare earth elements, but are poor in high field-strength elements, characteristic of adakite. This study indicates that quartz diorites are arc magmatic rocks formed in the stage of oceanic crust subduction. The primary magma formed by melting of oceanic crust intruded at the shallow crust, resulting in the formation of early skarn copper deposit. The identification of two stages of mineralization in the Nuri deposit expands the prospecting direction of the study area.

Published
2015
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48. Petrogenesis of the late Cretaceous Budongla Mg-rich monzodiorite pluton in the central Lhasa subterrane, Tibet, China: Whole-rock geochemistry, zircon U-Pb dating, and zircon Lu-Hf isotopes

Author

Liu, Hong, Li, You-Guo, Li, Wen-Chang, Li, Guang-Ming, Ma, Dong-Fang, Ouyang, Yuan, Huang, Han-Xiao, Zhang, Zhi-Lin, Li, Tong, and Wu, Jun-Yi

Subjects
General Earth and Planetary Sciences
Abstract

Mg-rich monzodiorite are found in the Budongla gold ore district, Zhongba County, Xizang (Tibet) Autonomous Region, P.R. China. Studying the petrogenesis of this intermediate pluton can provide effective information to explore the geological evolution of the Lhasa terrane. One monzodiorite sample yielded a weighted mean 206Pb/238U age of 92.7 ± 1.1 Ma (mean square weighted deviation=0.33) using LA-ICP-MS zircon U-Pb dating, which represents the late phase of Late Cretaceous magmatism. The rock-forming minerals in the Budongla Mg-rich monzodiorite mainly include K-feldspar, plagioclase, quartz, biotite augite, and amphibole, and its accessory minerals mainly include magnetite, titanite, zircon, and apatite. The rocks are rich in K2O+Na2O and K2O with medium contents of SiO2, CaO, and A12O3,, suggesting these rocks belong to the high-K calc-alkaline series. These rocks have high MgO, Fe2O3, and FeO, with high Mg# values and low DI, which implies they are Mg-rich intermediate intrusive rocks. The rocks are enriched in LREEs and LILEs and depleted in HREEs and HFSEs. They have negative Eu anomalies, no obvious negative Ce anomalies, and slightly negative εHf(t). We infer that the Budongla pluton is a high-K calc-alkaline metaluminous Mg-rich monzodiorite and intruded during the post-collisional period of the Lhasa and Qiangtang terranes.

Published
2022

50. Four-Pyroptosis Gene-Based Nomogram as a Novel Strategy for Predicting the Effect of Immunotherapy in Hepatocellular Carcinoma

Author

Li, Ning, primary, Ren, Shao-hua, additional, Qin, Ya-fei, additional, Shao, Bo, additional, Qin, Hong, additional, Wang, Zhaobo, additional, Wang, Hong-da, additional, Li, Guang-ming, additional, Zhu, Yang-lin, additional, Sun, Cheng-lu, additional, Zhang, Jing-yi, additional, Shi, Gang-gang, additional, An, Xing-wei, additional, and Wang, Hao, additional

Published
2022
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