昆明学院学报
昆明學院學報
곤명학원학보
JOURNAL OF KUNMING UNIVERSITY
2014年
3期
5-8,17
,共5页
分数(g,f)-因子%分数(g,f)-消去图%分数(g,f,n′)-临界消去图%孤立韧度
分數(g,f)-因子%分數(g,f)-消去圖%分數(g,f,n′)-臨界消去圖%孤立韌度
분수(g,f)-인자%분수(g,f)-소거도%분수(g,f,n′)-림계소거도%고립인도
fractional (g,f)-factor%fractional (g,f)-deleted graph%fractional (g,f,n′)-critical deleted graph%isolated toughness
利用分数（g，f，n′）-临界消去图的充要条件，借助最小反例构造的技巧，给出分数（g，f，n′）-临界消去图的孤立韧度条件．指出在δ（G）≥bn′a ＋（b ＋1）24a ＋b 且I（G）＞ b2＋bn′-1a ，若b ＞a，b ＋n′，若{ a ＝b．的条件下，G是分数（g，f，n′）-临界消去图．
利用分數（g，f，n′）-臨界消去圖的充要條件，藉助最小反例構造的技巧，給齣分數（g，f，n′）-臨界消去圖的孤立韌度條件．指齣在δ（G）≥bn′a ＋（b ＋1）24a ＋b 且I（G）＞ b2＋bn′-1a ，若b ＞a，b ＋n′，若{ a ＝b．的條件下，G是分數（g，f，n′）-臨界消去圖．
이용분수（g，f，n′）-림계소거도적충요조건，차조최소반례구조적기교，급출분수（g，f，n′）-림계소거도적고립인도조건．지출재δ（G）≥bn′a ＋（b ＋1）24a ＋b 차I（G）＞ b2＋bn′-1a ，약b ＞a，b ＋n′，약{ a ＝b．적조건하，G시분수（g，f，n′）-림계소거도．
Determine the isolated toughness bound for fractional (g,f,n′)-critical deleted graph in terms of the necessary and sufficient conditions of fractional (g,f,n′)-critical deleted graph and the technology of minimal counterexample construction.It is presented that a graph is fractional (g,f,n′)-critical deleted ifδ(G)≥ bn′a +(b+1 )24a +b and I(G)> b2 +bn′-1a ,if b>a,b+n′, if a={ b.
