S. Gong

activity

20112020

most citedOn the extremal energy of integral weighted trees

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

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5 papers · 1 filter

math.CO2020

On bipartite graphs having minimal fourth adjacency coefficient

Shi Cai Gong, Shao Wei Sun

Let $G$ be a simple graph with order $n$ and adjacency matrix $A (G)$ . Let $ϕ (G; λ) = det (λ I - A (G)) = \sum_{i = 0}^{n} a_{i} (G) λ^{n - i}$ be the characteristic polynom…

math.CO2020

On graphs having minimal fourth adjacency coefficient

Shi Cai Gong, Shi Wei Sun

Let $G$ be a graph with order $n$ and adjacency matrix $A (G)$ . The adjacency polynomial of $G$ is defined as $ϕ(G;λ) =det(λ\mathbf{I}-\mathbf{A}(G))=\sum_{i=0}^n\mathbf{a_…

math.CO2019

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 $2$ . In this paper, we g…

math.CO2013★ 1 cited

On oriented graphs with minimal skew energy

Shicai Gong, Xueliang Li, Guanghui Xu

Let $S (G^{σ})$ be the skew-adjacency matrix of an oriented graph $G^{σ}$ . The skew energy of $G^{σ}$ is defined as the sum of all singular values of its skew-adjacency matrix $S (G^{σ})$ . I…

math.CO2011★ 1 cited

On the extremal energy of integral weighted trees

Richard A. Brualdi, Jia-Yu Shao, Shi-Cai Gong +2

Let $T (n, m)$ and $F (n, m)$ denote the classes of weighted trees and forests, respectively, of order $n$ with the positive integral weights and the fixed total…