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
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, .
文摘目的分析养心生脉方用于治疗冠心病合并心律失常的价值及对患者氧化应激、核转录因子κB(nuclear factor kappa B,NF-κB)水平的影响。方法选择2022年2月—2024年2月治疗的冠心病合并心律失常患者100例作为研究对象,用随机抽签法分为对照组(常规西医治疗)与观察组(在常规西医治疗的基础上加用养心生脉方),每组50例。比较2组的临床疗效,治疗前后的心功能指标、氧化应激指标[超氧化物歧化酶(superoxide dismutase,SOD)、丙二醛(malondialdehyde,MDA)、一氧化氮(nitric oxide,NO)]、炎症因子[NF-κB、白细胞介素-6(interleukin-6,IL-6)、白细胞介素-8(interleukin-8,IL-8)]、生活质量综合评定问卷-74(generic quality of life inventory-74,GQOL-74)评分、6 min步行距离(6-minute walk distance,6MWD)。结果观察组的治疗总有效率(94.00%)高于对照组(80.00%),P<0.05;治疗后2组的心功能指标明显降低,且观察组均低于对照组(P<0.05);治疗后2组的SOD、NO水平均明显升高,MDA水平均降低,且观察组SOD、NO、MDA的改善均优于对照组(P<0.05);治疗后2组的NF-κB、IL-6、IL-8水平均明显降低,且观察组的改善程度均优于对照组(P<0.05);治疗后2组的GQOL-74评分、6MWD均明显上升,且观察组的上升幅度均大于对照组(P<0.05)。结论养心生脉方治疗冠心病合并心律失常的疗效显著,可有效改善患者的心功能,调节氧化应激及NF-κB等炎症因子的水平,提高患者的生活质量及运动能力。
