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pro vyhledávání: '"Dadedzi Kenneth"'
Publikováno v:
Discussiones Mathematicae Graph Theory, Vol 40, Iss 2, Pp 495-524 (2020)
We consider the problem of maximizing the distance spectral radius and a slight generalization thereof among all trees with some prescribed degree sequence. We prove in particular that the maximum of the distance spectral radius has to be attained by
Externí odkaz:
https://doaj.org/article/a7b1c8b240de4980b7b2ebde05d46ff4
Autor:
Dadedzi, Kenneth, Wagner, Stephan
We prove that the multiplicity of a fixed eigenvalue $\alpha$ in a random recursive tree on $n$ vertices satisfies a central limit theorem with mean and variance asymptotically equal to $\mu_{\alpha} n$ and $\sigma^2_{\alpha} n$ respectively. It is a
Externí odkaz:
http://arxiv.org/abs/2208.05575
Autor:
Dadedzi, Kenneth, Wagner, Stephan
Publikováno v:
In Discrete Mathematics February 2024 347(2)
Given a rooted tree $T$ with leaves $v_1,v_2,\ldots,v_n$, we define the ancestral matrix $C(T)$ of $T$ to be the $n \times n$ matrix for which the entry in the $i$-th row, $j$-th column is the level (distance from the root) of the first common ancest
Externí odkaz:
http://arxiv.org/abs/1809.03364
Publikováno v:
In Linear Algebra and Its Applications 15 August 2019 575:35-65