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arXiv 0905.0990math.NTmath.CO
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几乎正则图中的独立集与非不变线性方程的Cameron-Erdos问题

Independent sets in almost-regular graphs and the Cameron-Erdos problem for non-invariant linear equations

Peter Hegarty

备注：
This paper is withdrawn as I have learned that the main result (Theorem 2.2) follows from a previously known result, namely Theorem 9.3 in the paper of Ben Green, "A Szemeredi-type regularity lemma in abelian groups, with applications", GAFA 15 (2005), 340-376
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摘要：

我们提出了一个推广的Cameron-Erdos猜想和自由集的任意非平移不变的线性方程在Z上的三个或更多的变量，并使用众所周知的方法从图论，证明了一个弱形式的猜想的一类方程的结构的最大尺寸集避免解决方案的方程已经获得。

英文摘要：

We propose a generalisation of the Cameron-Erdos conjecture for sum-free sets to arbitrary non-translation invariant linear equations over Z in three or more variables and, using well-known methods from graph theory, prove a weak form of the conjecture for a class of equations where the structure of the maximum-size sets avoiding solutions to the equation has been previously obtained.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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