4 papers
Hoffman-type Results for the Sum of k Largest Eigenvalues of a Graph
Shaowei Sun, Mengyao Guo, Hongyan Ge +1
Let denote the sum of the largest eigenvalues of a graph . Motivated by the classical Hoffman program for the spectral radius of a graph, we investigate an additive…
Sum of the Largest Eigenvalues of Symmetric Matrices: Theory and Applications
Shaowei Sun, Yaping Min, Kinkar Chandra Das
This paper establishes new upper bounds for the sum of the largest eigenvalues of symmetric matrices. When applied to the adjacency matrix of a graph, our results improve upon…
Hermitian adjacency matrices of mixed multigraphs
Bo-Jun Yuan, Shaowei Sun, Dijian Wang
A mixed multigraph is obtained from an undirected multigraph by orienting a subset of its edges. In this paper, we study a new Hermitian matrix representation of mixed multigraphs,…
On bipartite graphs having minimal fourth adjacency coefficient
Shi Cai Gong, Shao Wei Sun
Let be a simple graph with order and adjacency matrix . Let be the characteristic polynom…