2021/06/28 by Monu Kadyan, Bikash Bhattacharjya, Kadyan, Monu +1 · 1 citation
Engineering · Mathematics · #Abelian group #Adjacency matrix #Cayley graph #Cayley transform #Cayley's theorem #Combinatorics #Discrete mathematics #Finite Group Theory Research #Graph #Graph theory and applications #Line graph #Mathematics #Mixed graph #Vertex (graph theory) #Vertex-transitive graph #Voltage graph #graph theory and CDMA systems #math.CO #msc:05C25 #msc:05C50
paper · pdf · doi:10.48550/arxiv.2106.14458
published in arXiv (Cornell University) (Cornell University) · arXiv admin note: text overlap with arXiv:2106.01261
arxiv created 2021/06/28 · openalex publication_date 2021/06/28 · arxiv updated 2021/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A mixed graph is said to be integral if all the eigenvalues of its Hermitian adjacency matrix are integer. Let Γ be an abelian group. The mixed Cayley graph Cay(Γ,S) is a mixed graph on the vertex set Γ and edge set \ (a,b): b-a∈ S \, where 0\not∈ S. We characterize integral mixed Cayley graph Cay(Γ,S) over abelian group in terms of its symbol set S.