A spanning subgraph F of a graph G is called a path factor of G if each component of F is a path.A P≥k-factor means a path factor with each component having at least k vertices,where k≥2 is an integer.Bazgan,Benhamd...A spanning subgraph F of a graph G is called a path factor of G if each component of F is a path.A P≥k-factor means a path factor with each component having at least k vertices,where k≥2 is an integer.Bazgan,Benhamdine,Li and Wozniak[C.Bazgan,A.H.Benhamdine,H.Li,M.Wozniak,Partitioning vertices of 1-tough graph into paths,Theoret.Comput.Sci.263(2001)255–261.]obtained a toughness condition for a graph to have a P≥3-factor.We introduce the concept of a P≥k-factor deleted graph,that is,if a graph G has a P≥k-factor excluding e for every e∈E(G),then we say that G is a P≥k-factor deleted graph.In this paper,we show four sufficient conditions for a graph to be a P≥3-factor deleted graph.Furthermore,it is shown that four results are best possible in some sense.展开更多
目的探讨急性缺血性卒中(AIS)患者血清激活转录因子3(ATF3)、α2δ-1水平表达与病情评估的价值。方法选取2021年1月~2024年8月解放军总医院收治的150例AIS患者为AIS组,根据美国国立卫生研究院卒中量表(NIHSS)评分分为重度组(≥21分,n=45...目的探讨急性缺血性卒中(AIS)患者血清激活转录因子3(ATF3)、α2δ-1水平表达与病情评估的价值。方法选取2021年1月~2024年8月解放军总医院收治的150例AIS患者为AIS组,根据美国国立卫生研究院卒中量表(NIHSS)评分分为重度组(≥21分,n=45)、中度组(5~20分,n=53)和轻度组(≤4分,n=52);根据脑梗死面积分为大面积组(≥20cm3,n=48)、中等面积组(1cm3~20cm3,n=56)和小面积组(≤1cm3,n=46),另按照1∶1选取同期健康体检志愿者150例为对照组。采用酶联免疫吸附法(ELISA)检测血清ATF3、α2δ-1水平、通过Spearman秩相关分析AIS患者血清ATF3、α2δ-1水平与NIHSS评分和脑梗死面积的相关性,Logistic回归分析AIS患者神经功能缺损程度加重和脑梗死面积增加的影响因素,受试者操作特征(ROC)曲线分析血清ATF3、α2δ-1水平对AIS患者重度神经功能缺损和大面积脑梗死的评估价值。结果与对照组比较,AIS组血清ATF3(4.27±1.39ng/ml vs 1.78±0.21ng/ml)、α2δ-1[833.14(385.68,1437.12)pg/ml vs 233.59(124.84,337.75)pg/ml]水平升高,差异具有统计学意义(t/Z=21.647、-10.871,均P<0.05)。轻度组、中度组、重度组血清ATF3(3.21±1.12 ng/ml、4.35±0.90ng/ml、5.41±1.22 ng/ml)、α2δ-1[283.58(202.14,759.77)pg/ml、1004.61(490.07,1403.49)pg/ml、1408.79(914.88,2106.76)pg/ml)]水平依次升高,差异具有统计学意义(F=100.168,J-T=-7.563,均P<0.05)。小面积组、中等面积组、大面积组血清ATF3(3.10±1.09ng/ml、4.32±0.93ng/ml、5.34±1.22ng/ml),α2δ-1[283.58(211.26,584.93)pg/ml、1000.39(493.62,1505.81)pg/ml、1313.92(874.91,2071.12)pg/ml)]水平依次升高,差异具有统计学意义(F=101.166,J-T=-7.610,均P<0.05)。AIS患者血清ATF3、α2δ-1水平与NIHSS评分和脑梗死面积呈正相关(r=0.751~0.764,均P<0.05)。脑梗死面积增加、ATF3和α2δ-1高水平为AIS患者神经功能缺损程度加重的独立危险因素(Waldχ^(2)=34.456、26.025、28.947,均P<0.05),NIHSS评分增加、ATF3和α2δ-1高水平为AIS患者脑梗死面积增加的独立危险因素(Waldχ^(2)=33.095、9.489、25.099,均P<0.05)。血清ATF3、α2δ-1联合评估AIS患者重度神经功能缺损的曲线下面积为0.926,大于血清ATF3、α2δ-1单独评估的0.823、0.812(Z=3.403、3.517),血清ATF3、α2δ-1联合评估AIS患者大面积脑梗死的曲线下面积为0.912,大于血清ATF3、α2δ-1单独评估的0.813、0.802(Z=3.335、3.507),差异具有统计学意义(均P<0.05)。结论AIS患者血清ATF3、α2δ-1水平升高,与神经功能缺损程度加重和脑梗死面积增加有关,可能成为AIS患者病情评估的新的标志物。展开更多
基金supported by Six Talent Peaks Project in Jiangsu Province,China(Grant No.JY–022)。
文摘A spanning subgraph F of a graph G is called a path factor of G if each component of F is a path.A P≥k-factor means a path factor with each component having at least k vertices,where k≥2 is an integer.Bazgan,Benhamdine,Li and Wozniak[C.Bazgan,A.H.Benhamdine,H.Li,M.Wozniak,Partitioning vertices of 1-tough graph into paths,Theoret.Comput.Sci.263(2001)255–261.]obtained a toughness condition for a graph to have a P≥3-factor.We introduce the concept of a P≥k-factor deleted graph,that is,if a graph G has a P≥k-factor excluding e for every e∈E(G),then we say that G is a P≥k-factor deleted graph.In this paper,we show four sufficient conditions for a graph to be a P≥3-factor deleted graph.Furthermore,it is shown that four results are best possible in some sense.
文摘目的探讨急性缺血性卒中(AIS)患者血清激活转录因子3(ATF3)、α2δ-1水平表达与病情评估的价值。方法选取2021年1月~2024年8月解放军总医院收治的150例AIS患者为AIS组,根据美国国立卫生研究院卒中量表(NIHSS)评分分为重度组(≥21分,n=45)、中度组(5~20分,n=53)和轻度组(≤4分,n=52);根据脑梗死面积分为大面积组(≥20cm3,n=48)、中等面积组(1cm3~20cm3,n=56)和小面积组(≤1cm3,n=46),另按照1∶1选取同期健康体检志愿者150例为对照组。采用酶联免疫吸附法(ELISA)检测血清ATF3、α2δ-1水平、通过Spearman秩相关分析AIS患者血清ATF3、α2δ-1水平与NIHSS评分和脑梗死面积的相关性,Logistic回归分析AIS患者神经功能缺损程度加重和脑梗死面积增加的影响因素,受试者操作特征(ROC)曲线分析血清ATF3、α2δ-1水平对AIS患者重度神经功能缺损和大面积脑梗死的评估价值。结果与对照组比较,AIS组血清ATF3(4.27±1.39ng/ml vs 1.78±0.21ng/ml)、α2δ-1[833.14(385.68,1437.12)pg/ml vs 233.59(124.84,337.75)pg/ml]水平升高,差异具有统计学意义(t/Z=21.647、-10.871,均P<0.05)。轻度组、中度组、重度组血清ATF3(3.21±1.12 ng/ml、4.35±0.90ng/ml、5.41±1.22 ng/ml)、α2δ-1[283.58(202.14,759.77)pg/ml、1004.61(490.07,1403.49)pg/ml、1408.79(914.88,2106.76)pg/ml)]水平依次升高,差异具有统计学意义(F=100.168,J-T=-7.563,均P<0.05)。小面积组、中等面积组、大面积组血清ATF3(3.10±1.09ng/ml、4.32±0.93ng/ml、5.34±1.22ng/ml),α2δ-1[283.58(211.26,584.93)pg/ml、1000.39(493.62,1505.81)pg/ml、1313.92(874.91,2071.12)pg/ml)]水平依次升高,差异具有统计学意义(F=101.166,J-T=-7.610,均P<0.05)。AIS患者血清ATF3、α2δ-1水平与NIHSS评分和脑梗死面积呈正相关(r=0.751~0.764,均P<0.05)。脑梗死面积增加、ATF3和α2δ-1高水平为AIS患者神经功能缺损程度加重的独立危险因素(Waldχ^(2)=34.456、26.025、28.947,均P<0.05),NIHSS评分增加、ATF3和α2δ-1高水平为AIS患者脑梗死面积增加的独立危险因素(Waldχ^(2)=33.095、9.489、25.099,均P<0.05)。血清ATF3、α2δ-1联合评估AIS患者重度神经功能缺损的曲线下面积为0.926,大于血清ATF3、α2δ-1单独评估的0.823、0.812(Z=3.403、3.517),血清ATF3、α2δ-1联合评估AIS患者大面积脑梗死的曲线下面积为0.912,大于血清ATF3、α2δ-1单独评估的0.813、0.802(Z=3.335、3.507),差异具有统计学意义(均P<0.05)。结论AIS患者血清ATF3、α2δ-1水平升高,与神经功能缺损程度加重和脑梗死面积增加有关,可能成为AIS患者病情评估的新的标志物。
