5 citations · 9 across the 7 of their papers we have counts for
7 papers
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…
On graphs having minimal fourth adjacency coefficient
Shi Cai Gong, Shi Wei Sun
Let be a graph with order and adjacency matrix . The adjacency polynomial of is defined as $ϕ(G;λ) =det(λ\mathbf{I}-\mathbf{A}(G))=\sum_{i=0}^n\mathbf{a_…
On mixed graphs whose Hermitian spectral radii are at most 2
Bo-Jun Yuan, Yi Wang, Shi-Cai Gong +1
A mixed graph is a graph with undirected and directed edges. Guo and Mohar in 2017 determined all mixed graphs whose Hermitian spectral radii are less than . In this paper, we g…
Spectral conditions for the existence of specified paths and cycles in graphs
Mingqing Zhai, Huiqiu Lin, Shicai Gong
Let be a graph with vertices and be the least eigenvalue of its adjacency matrix of . In this paper, we give sharp bounds on the least eigenvalue of graphs with…
On the determinant of the distance matrix of a bicyclic graph
Shi-Cai Gong, Ju-Li Zhang, Guang-Hui Xu
Two cycles are referred as disjoint if they have no common edges. In this paper, we will investigate the determinant of the distance matrix of a graph, giving a formula for the det…
On oriented graphs with minimal skew energy
Shicai Gong, Xueliang Li, Guanghui Xu
Let be the skew-adjacency matrix of an oriented graph . The skew energy of is defined as the sum of all singular values of its skew-adjacency matrix . I…
On the extremal energy of integral weighted trees
Richard A. Brualdi, Jia-Yu Shao, Shi-Cai Gong +2
Let and denote the classes of weighted trees and forests, respectively, of order with the positive integral weights and the fixed total…