On the weighted trees with given degree sequence and positive weight set
نویسندگان
چکیده
منابع مشابه
The p-Laplacian spectral radius of weighted trees with a degree sequence and a weight set
In this paper, some properties of the discrete p-Laplacian spectral radius of weighted trees have been investigated. These results are used to characterize all extremal weighted trees with the largest p-Laplacian spectral radius among all weighted trees with a given degree sequence and a positive weight set. Moreover, a majorization theorem with two tree degree sequences is presented.
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The degree set of a graph is the set of its degrees. Kapoor et al. [Degree sets for graphs, Fund. Math. 95 (1977) 189-194] proved that for every set of positive integers, there exists a graph of diameter at most two and radius one with that degree set. Furthermore, the minimum order of such a graph is determined. A graph is 2-self- centered if its radius and diameter are two. In this paper for ...
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متن کاملEla the P -laplacian Spectral Radius of Weighted Trees with a Degree Sequence and a Weight Set∗
In this paper, some properties of the discrete p-Laplacian spectral radius of weighted trees have been investigated. These results are used to characterize all extremal weighted trees with the largest p-Laplacian spectral radius among all weighted trees with a given degree sequence and a positive weight set. Moreover, a majorization theorem with two tree degree sequences is presented.
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The atom–bond connectivity index of a graph G is defined as
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2010
ISSN: 0024-3795
DOI: 10.1016/j.laa.2010.03.009