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20192023
most citedSpectral properties of -Sombor matrices and beyond

2 citations · 5 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.CO2022

Regular graphs with a complete bipartite graph as a star complement

Xiaona Fang, Lihua You, Rangwei Wu +1

Let be a graph of order and be an adjacency eigenvalue of with multiplicity . A star complement for in is an induced subgraph of of order $…

math.CO2022

The spread of generalized reciprocal distance matrix

Hechao Liu, Yufei Huang

The generalized reciprocal distance matrix was defined as Let $λ_{1}(RD_α(G))\geq λ_{2}(RD_α(G))\geq \cdots \geq λ_{n}(RD…

math.CO2022★ 1 cited

Sharp bounds on the symmetric division deg index of graphs and line graphs

Hechao Liu, Yufei Huang

For a graph with vertex set and edge set , the symmetric division deg index is defined as $SDD(G)=\sum\limits_{uv\in E_{G}}(\frac{d_{u}}{d_{v}}+\frac{d_{v}}{d_{u…

math.CO2022

The Sombor index and coindex of two-trees

Zenan Du, Lihua You, Hechao Liu +1

The Sombor index of a graph , introduced by Ivan Gutman, is defined as the sum of the weights of all edges of , where denotes the deg…

math.CO2021★ 2 cited

Spectral properties of -Sombor matrices and beyond

Hechao Liu, Lihua You, Yufei Huang +1

Let be a simple graph with vertex set and edge set . The -Sombor matrix of is the square matr…

math.CO2021★ 2 cited

Ordering chemical graphs by Sombor indices and its applications

Hechao Liu, Lihua You, Yufei Huang

Topological indices are a class of numerical invariants that predict certain physical and chemical properties of molecules. Recently, two novel topological indices, named as Sombor…

math.CO2019

The general spectral radius and majorization theorem of -cone graphs with given degree sequences

Yufei Huang, Muhuo Liu

The general spectral radius of a graph , denoted by , is the maximal eigenvalue of , where and are the adjacency matrix and…