| 一类边裂图边优美的充要条件 |
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| 引用本文： | 温一慧. 一类边裂图边优美的充要条件[J]. 数学的实践与认识, 2009, 39(19) |
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| 作者姓名： | 温一慧 |
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| 作者单位： | 苏州科技学院,应用数学系,江苏,苏州,215009 |
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| 基金项目： | 山西省自然科学基金，苏州科技学院重点学科基金 |
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| 摘 要： | 指出了一类边裂图SEP(K1,n,f)与图K1,n的边优美性的差异.得到了对任意自然数m>0,SPE(K1,4m+1,f)不是边优美的,以及SEP(K1,n,f)是边优美图的充要条件.
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| 关 键 词： | 边裂图 重集 边优美图 充要条件 |
Necessary and Sufficient Condition for a Class of Edge-splitting Extension Graph to be Edge-graceful |
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| Abstract: | The differences of the edge-gracefulness between SEP(K_(1.n),f) and K_(1.n) are pointed out. We obtain the SPE(K_(1,4m+1), f) is not edge-graceful for any integer m >0, then give the necessary and sufficient condition for SEP(K_(1,n), f) to be edge-graceful. |
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| Keywords: | edge-splitting extension graph multiset edge-graceful graph necessary and sufficient condition |
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