4 papers
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 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
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…