CHROMATIC ZEROS AND GENERALIZED FIBONACCI NUMBERS

被引：1
|
作者：
Alikhani, Saeid [1 ]
Peng, Yee-hock [2 ,3 ]
机构：
[1] Yazd Univ, Dept Math, Yazd 89195741, Iran
[2] Univ Putra Malaysia, Dept Math, Serdang 43400, Malaysia
[3] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Malaysia
来源：
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2009年 / 3卷 / 02期
关键词：
Chromatic Zero; Fibonacci Numbers; n-anacci constants; ANTIFERROMAGNETIC POTTS MODELS; PARTITION-FUNCTION ZEROS; TRANSFER-MATRICES;
D O I：
10.2298/AADM0902330A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we consider the problem whether generalized Fibonacci constants can be zeros of chromatic polynomials. We prove that all 2n-anacci numbers and all their natural powers cannot be zeros of any chromatic polynomial. Also we investigate (2n + 1)-anacci numbers as chromatic zeros.
引用
收藏
页码：330 / 335
页数：6
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