Mathematical results on harmonic polynomials

被引：2

作者：

Carballosa, Walter ^{[1
]}

Napoles, Juan E. ^{[2
]}

Rodriguez, Jose M. ^{[3
]}

Rosario, Omar ^{[4
]}

Sigarreta, Jose M. ^{[4
]}

机构：

[1] Florida Int Univ, Dept Math & Stat, 11200 SW 8th St, Miami, FL 33199 USA

[2] Univ Nacl Nordeste, Dept Matemat, Ave Libertad 5450, RA-3400 Corrientes, Argentina

[3] Univ Carlos III Madrid, Dept Matemat, Ave Univ 30, Madrid 28911, Spain

[4] Univ Autonoma Guerrero, Fac Matemat, Carlos E Adame 54, Col Garita 39650, Acalpulco Gro, Mexico

来源：

COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION | 2024年 / 9卷 / 02期

关键词：

Harmonic index; harmonic polynomial; degree-based topological indices; SUM-CONNECTIVITY INDEX; ZAGREB INDEXES; RANDIC INDEX; GRAPH;

D O I：

10.22049/cco.2023.28920.1779

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The harmonic polynomial was defined in order to understand better the harmonic topological index. Here, we obtain several properties of this polynomial, and we prove that several properties of a graph can be deduced from its harmonic polynomial. Also, we prove that graphs with the same harmonic polynomial share many properties although they are not necessarily isomorphic.

引用

页码：279 / 295

页数：17

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