The number of spanning trees and maximum matchings of Fibonacci graphs

被引：0

作者：

Akyar, Emrah ^{[1
]}

Akyar, Handan ^{[1
]}

机构：

[1] Eskisehir Tech Univ, Dept Math, TR-26470 Eskisehir, Turkey

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 05期

关键词：

Fibonacci graph; spanning tree; maximum matching; Fibonacci number;

D O I：

10.1142/S1793557123500894

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the enumeration of spanning trees and maximum matchings of the Fibonacci graphs. It is proved that the number of all spanning trees of a Fibonacci graph with n vertices is (2n - 2)th Fibonacci number. We also obtained a formula for the number of maximum matchings of Fibonacci graphs in terms of Fibonacci numbers.

引用

页数：11

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