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图解析的Nordhaus-Gaddum型不等式(英文)

The Nordhaus-Gaddum type inequalities for dissection of graphs
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摘要 给出了一种新的计算图的解析D(G)的方法,应用这种方法得到一些特殊图类的解析值.进而分析了固定阶数的图的解析值的Nordhaus-Gaddum型不等式,得到n≤a(G)+a(G)≤n!/2和26×3n-5-2n-5≤b(G)+b(G)≤n!/2,这里n是图G的阶数. A way to compute D(G) is introduced, by which the dissection of some special graphs is determined. Moreover, the Nordhaus-Gaddum type inequalities for dissection of graphs with fixed order is studied. The inequalities n≤a(G)-ka (G)≤n[ /2 and 26 X 3n-5 2n-5≤ b(G)-b(-G)〈n! /2 are obtained, where n is the order of G.
作者 王晓 汪小黎
出处 《纺织高校基础科学学报》 CAS 2013年第2期166-170,182,共6页 Basic Sciences Journal of Textile Universities
基金 Supported by Specific Science Foundation of Shaanxi Province Education Department(12JK0899) Pro-jects of Shangluo University(12SKY011)
关键词 图的解析 补图 Nordhaus—Gaddum型不等式 dissection of graphs complement graphs Nordhaus-Gaddum type inequalities
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参考文献11

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