Academic Journal

Note on the spectra of signed complete bipartite graphs with regular negative edges.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: Note on the spectra of signed complete bipartite graphs with regular negative edges.
Συγγραφείς: Ou, Siyu1 (AUTHOR), Qiu, Zhengping2 (AUTHOR), Tang, Zikai1 (AUTHOR) zikaitang@163.com
Πηγή: Discrete Applied Mathematics. Jul2026, Vol. 388, p34-42. 9p.
Θεματικοί όροι: *Laplacian matrices, *Eigenanalysis, *Laplacian operator, *Spectral theory, *Graph theory
Περίληψη: In this paper, we investigate the spectral properties of a signed complete bipartite graph Σ = (K p , q , H r , 2 k −) , where the negative edges induce an r -regular subgraph. We explicitly determine the eigenvalues of the Laplacian, net Laplacian, and normalized Laplacian matrices and resolve the open problem proposed by Pirzada, Rashid, and Stanić (2025) for the case where the negative edges induce a regular subgraph. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
Περιγραφή
ISSN:0166218X
DOI:10.1016/j.dam.2026.03.001