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math.CO2020
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_…
math.CO2013★ 2 cited
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…
math.CO2013★ 1 cited
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…