| 任意n个完备二分图的并图的k－优美性和算术性 |
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| 引用本文： | 刘育兴,严深海.任意n个完备二分图的并图的k－优美性和算术性[J].工科数学,2012(5):46-49. |
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| 作者姓名： | 刘育兴 严深海 |
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| 作者单位： | 赣南师范学院数学与计算机科学学院,江西赣州341000 |
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| 摘 要： | 证明了对于正整数k，n，si，ti（si，ti≥2，i=1，2，…，n），图n/U/i=1,Ksi,ti是k-优美图；对于正整数k，d（d≥2），k≠0（roodd）及n，si，ti（si，ti≥2，i=1，2，…，n），图n/U/i=1,Ksi,ti是（k，d）-算术图，前一结论推广了文6]的相应结果。
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| 关 键 词： | 完备二分图 并图 优美图 算术图 |
The Gracefulness and Arithmetics of the Unions of Arbitrarily n Complete Bipartite Graphs |
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| LIU Yu-xing,YAN Shen-hai.The Gracefulness and Arithmetics of the Unions of Arbitrarily n Complete Bipartite Graphs[J].Journal of Mathematics For Technology,2012(5):46-49. |
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| Authors: | LIU Yu-xing YAN Shen-hai |
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| Institution: | (Department of Mathematics and Computer, Gannan Normal College, Ganzhou 341000,China) |
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| Abstract: | It is proved that the unions of arbitrarily n complete bipartite graphs is a k - graceful graph for any positive integerk ,and that the unions of arbitrarily n complete bipartite graphs is a （k,d）- arithmetic graph for any positive integers k ,d （ d ≥2）, k ≠0（ rood d） . The preceding conclusion generalizes the correspondent results in 6]. |
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| Keywords: | complete bipartite graph union graph graceful graph arithmetic graph |
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