Some identities for the generalized Fibonacci numbers and the generalized Lucas numbers

被引：30
|
作者：
Wloch, Andrzej [1 ]
机构：
[1] Rzeszow Univ Technol, Fac Math & Appl Phys, PL-35359 Rzeszow, Poland
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 10期
关键词：
Fibonacci number; Lucas number; k-Independent set; Counting; GRAPHS; SETS;
D O I：
10.1016/j.amc.2012.11.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study some properties of the generalized Fibonacci numbers and the generalized Lucas numbers. These numbers are equal to the total numbers of k-independent sets in special graphs. We give some identities for the generalized Fibonacci numbers and the generalized Lucas numbers, which can be useful also in problems of counting of k-independent sets in graphs. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：5564 / 5568
页数：5
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