On the Existence of Specified Cycles in Complementary Graphs.

On the Existence of Specified Cycles in Complementary Graphs.
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DOI:
10.1090/s0002-9904-1971-12832-x
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发表时间:
1971-11
影响因子:
1.3
通讯作者:
G. Chartrand;S. Schuster
G. Chartrand;S. Schuster
中科院分区:
数学1区
文献类型:
--
作者:
G. Chartrand;S. Schuster

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翻译后摘要:让c(m,n)是最小的整数p,使任何图G的阶p,要么G有一个m-圈或其补充G酒吧有一个n-圈。对于m,n =或< 6建立了c(m,n)的值,并给出了c(3,n),c(4,n)和c(5,n)的一般公式。(作者)
Abstract : Let c(m,n) be the least integer p such that for any graph G of order p, either G has an m-cycle or its complement G bar has an n-cycle. Values of c(m,n) are established for m,n = or < 6 and general formulas are presented for c(3,n), c(4,n), and c(5,n). (Author)