期刊论文

Li, Shuchao

英文

LINEAR & MULTILINEAR ALGEBRA

0308-1087

2022

70

11

2127-2149

10.1080/03081087.2020.1789538

H.Z. is financially supported by the National Natural Science Foundation of China [grant number 11801253], the Key Project of Education Department of Henan Province [grant number 19A110026] and the Cultivation Fund of Luoyang Normal University (University-level research fund) [grant number 2017-PYJJ-001]. S.L. is financially supported by the National Natural Science Foundation of China [grant numbers 11671164, 11271149]. The authors would like to express their sincere gratitude to the referee for his/her insightful comments and suggestions, which led to a number of improvements to this article. Our thanks are also due to the referee and Professor Steve Kirkland for showing us some references.

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Given a connected graph (Formula presented.) with (Formula presented.) the hitting time (Formula presented.) is defined as the expected number of steps that a simple random walk takes to go from x to y. A hitting-time-based invariant, called the ZZ index, was first proposed by Zhu and Zhang [The hitting time of random walk on unicyclic graphs. Linear Multilinear Algebra. doi:10.1080/03081087.2019.1611732] recently. It was defined to be (Formula presented.) In this paper, some extremal problems on the ZZ index of trees with some given parameters...