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Extremal phenylene chains with respect to the coefficients sum of the permanental polynomial, the spectral radius, the Hosoya index and the Merrifield-Simmons index
被引:12
|作者:
Wei, Wei
[1
]
Li, Shuchao
[1
]
机构:
[1] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Hubei, Peoples R China
基金:
中国国家自然科学基金;
关键词:
Phenylene chains;
Permanental polynomial;
Spectral radius;
Hosoya index;
Merrifield-Simmons index;
OCTAGONAL CHAINS;
HEXAGONAL CHAINS;
WIENER NUMBERS;
TREES;
D O I:
10.1016/j.dam.2019.07.024
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, the extremal problems on the phenylene chains with respect to some graph invariants are studied. All the graphs minimizing (resp. maximizing) the coefficients sum of the permanental polynomial, the spectral radius, the Hosoya index and the Merrifield-Simmons index among all the phenylene chains each of which contains n four-membered rings are identified. (C) 2019 Elsevier B.V. All rights reserved.
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页码:205 / 217
页数:13
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