论文标题
Perron值及其组合应用的下限和上限的严格单调序列
Strictly monotone sequences of lower and upper bounds on Perron values and their combinatorial applications
论文作者
论文摘要
在本文中，我们在非智力基质的perron值上介绍了下限和上限的单调序列，并研究了它们的严格单调性。使用这些序列，我们提供两个组合应用。一种是为了找到树木的特征集，在组合设置中提高了植根树的perron值的界限。另一个是通过单调序列生成log-conconcave和log-convex序列。
In this paper, we present monotone sequences of lower and upper bounds on the Perron value of a nonngeative matrix, and we study their strict monotonicity. Using those sequences, we provide two combinatorial applications. One is to improve bounds on Perron values of rooted trees in combinatorial settings, in order to find characteristic sets of trees. The other is to generate log-concave and log-convex sequences through the monotone sequences.
