Let G be a graph of order n, and let a and b be integers, such that 1 ≤ a b. Let H be a subgraph of G with m(≤b) edges, and δ(G) be the minimum degree. We prove that G has a [a,b]-factor containing all edges of H i...Let G be a graph of order n, and let a and b be integers, such that 1 ≤ a b. Let H be a subgraph of G with m(≤b) edges, and δ(G) be the minimum degree. We prove that G has a [a,b]-factor containing all edges of H if , , and when a ≤ 2, .展开更多
Let a, b, r be nonnegative integers with 1 ≤ a ≤ b and r ≥ 2. Let G be a graph of order n with n 〉（a＋2 b）（r（a＋b）-2）/b.In this paper, we prove that G is fractional ID-[a, b]-factor-critical if δ（G）≥bn/a...Let a, b, r be nonnegative integers with 1 ≤ a ≤ b and r ≥ 2. Let G be a graph of order n with n 〉（a＋2 b）（r（a＋b）-2）/b.In this paper, we prove that G is fractional ID-[a, b]-factor-critical if δ（G）≥bn/a＋2 b＋a（r-1）and ｜NG（x1） ∪ NG（x2） ∪…∪ NG（xr）｜ ≥（a＋b）n/（a＋2 b） for any independent subset {x1,x2,…,xr} in G. It is a generalization of Zhou et al.＇s previous result [Discussiones Mathematicae Graph Theory, 36： 409-418（2016）]in which r = 2 is discussed. Furthermore, we show that this result is best possible in some sense.展开更多
目的讨论血清前B细胞克隆增强因子(pre-B cell colony-enhancing factor,PBEF)、Kruppel样转录因子2(kruppel like factor 2,KLF2)、白介素-26(Interleukin-26,IL-26)与重症肺炎(severe pneumonia,SP)患儿病情严重程度及预后转归的关系...目的讨论血清前B细胞克隆增强因子(pre-B cell colony-enhancing factor,PBEF)、Kruppel样转录因子2(kruppel like factor 2,KLF2)、白介素-26(Interleukin-26,IL-26)与重症肺炎(severe pneumonia,SP)患儿病情严重程度及预后转归的关系。方法选择西安市儿童医院2023年3月-2025年3月收治的180例SP患儿作为研究对象,使用ELISA试剂盒分别检测血清中PBEF、KLF2、IL-26的蛋白水平;根据急性生理与慢性健康评分II(acute physiology and chronic health score,APACHEII评分)判定患儿的病情严重程度并分组为非危重症组(n=60)、危重症组(n=75)和极危重症组(n=45);根据SP患儿预后分为预后良好组(n=127)和预后不良组(n=53);血清PBEF、KLF2、IL-26水平与APACHEII评分的相关性采用Pearson法分析;多因素Logistics回归分析影响SP患儿预后转归的因素;ROC曲线分析血清PBEF、KLF2、IL-26水平对SP患儿预后转归的预测价值。结果与非危重症组比较,危重症组、极危重症组APACHEII评分及血清PBEF、IL-26水平升高(P<0.05),血清KLF2水平均低(P<0.05);与危重症组比较,极危重症组APACHEII评分及血清PBEF、IL-26水平升高,血清KLF2水平降低(P<0.05);SP患儿血清PBEF、IL-26水平与APACHEII评分呈正相关,血清KLF2水平与APACHEII评分呈负相关(P<0.05);预后不良组较预后良好组极危重症患者比例、APACHEII评分及血清PBEF、IL-26水平升高,血清KLF2水平降低(P<0.05);血清PBEF、IL-26水平升高,KLF2水平降低是SP患儿发生预后不良的危险因素(P<0.05);血清PBEF、KLF2、IL-26水平单独及联合预测患儿预后不良的AUC分别为0.769、0.820、0.814、0.933,三者联合预测价值更高(Z=4.112、3.893、4.035,P<0.001)。结论伴随SP患儿病情严重程度的增加,血清PBEF、IL-26水平升高,KLF2水平降低,三者可作为预测患儿预后转归的指标。展开更多
文摘Let G be a graph of order n, and let a and b be integers, such that 1 ≤ a b. Let H be a subgraph of G with m(≤b) edges, and δ(G) be the minimum degree. We prove that G has a [a,b]-factor containing all edges of H if , , and when a ≤ 2, .
基金supported by the National Natural Science Foundation of China(Nos.11371052,11731002)the Fundamental Research Funds for the Central Universities(Nos.2016JBM071,2016JBZ012)the 111 Project of China(B16002)
文摘Let a, b, r be nonnegative integers with 1 ≤ a ≤ b and r ≥ 2. Let G be a graph of order n with n 〉（a＋2 b）（r（a＋b）-2）/b.In this paper, we prove that G is fractional ID-[a, b]-factor-critical if δ（G）≥bn/a＋2 b＋a（r-1）and ｜NG（x1） ∪ NG（x2） ∪…∪ NG（xr）｜ ≥（a＋b）n/（a＋2 b） for any independent subset {x1,x2,…,xr} in G. It is a generalization of Zhou et al.＇s previous result [Discussiones Mathematicae Graph Theory, 36： 409-418（2016）]in which r = 2 is discussed. Furthermore, we show that this result is best possible in some sense.
文摘目的讨论血清前B细胞克隆增强因子(pre-B cell colony-enhancing factor,PBEF)、Kruppel样转录因子2(kruppel like factor 2,KLF2)、白介素-26(Interleukin-26,IL-26)与重症肺炎(severe pneumonia,SP)患儿病情严重程度及预后转归的关系。方法选择西安市儿童医院2023年3月-2025年3月收治的180例SP患儿作为研究对象,使用ELISA试剂盒分别检测血清中PBEF、KLF2、IL-26的蛋白水平;根据急性生理与慢性健康评分II(acute physiology and chronic health score,APACHEII评分)判定患儿的病情严重程度并分组为非危重症组(n=60)、危重症组(n=75)和极危重症组(n=45);根据SP患儿预后分为预后良好组(n=127)和预后不良组(n=53);血清PBEF、KLF2、IL-26水平与APACHEII评分的相关性采用Pearson法分析;多因素Logistics回归分析影响SP患儿预后转归的因素;ROC曲线分析血清PBEF、KLF2、IL-26水平对SP患儿预后转归的预测价值。结果与非危重症组比较,危重症组、极危重症组APACHEII评分及血清PBEF、IL-26水平升高(P<0.05),血清KLF2水平均低(P<0.05);与危重症组比较,极危重症组APACHEII评分及血清PBEF、IL-26水平升高,血清KLF2水平降低(P<0.05);SP患儿血清PBEF、IL-26水平与APACHEII评分呈正相关,血清KLF2水平与APACHEII评分呈负相关(P<0.05);预后不良组较预后良好组极危重症患者比例、APACHEII评分及血清PBEF、IL-26水平升高,血清KLF2水平降低(P<0.05);血清PBEF、IL-26水平升高,KLF2水平降低是SP患儿发生预后不良的危险因素(P<0.05);血清PBEF、KLF2、IL-26水平单独及联合预测患儿预后不良的AUC分别为0.769、0.820、0.814、0.933,三者联合预测价值更高(Z=4.112、3.893、4.035,P<0.001)。结论伴随SP患儿病情严重程度的增加,血清PBEF、IL-26水平升高,KLF2水平降低,三者可作为预测患儿预后转归的指标。
