Trees with a given number of leaves and the maximal number of maximum independent sets

被引：0

作者：

Taletskii, Dmitriy S. ^{[1
]}

Malyshev, Dmitriy S. ^{[2
]}

机构：

[1] Lobachevsky State Univ Nizhny Novgorod, Nizhnii Novgorod, Russia

[2] Natl Res Univ Higher Sch Econ, Moscow, Russia

来源：

DISCRETE MATHEMATICS AND APPLICATIONS | 2021年 / 31卷 / 02期

关键词：

independent set; maximum independent set; maximal independent set; extremal tree; GRAPHS; INDEX;

D O I：

10.1515/dma-2021-0012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A complete description of trees with maximal possible number of maximum independent sets among all n-vertex trees with exactly l leaves is obtained. For all values of the parameters n and l the extremal tree is unique and is the result of merging the endpoints of l simple paths.

引用

页码：135 / 144

页数：10

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