Signed distance Laplacian matrices for signed graphs
نویسندگان
چکیده
A signed graph is a whose edges are labeled either positive or negative. Corresponding to the two distance matrices defined for graphs, we define laplacian matrices. We characterize balance in graphs using these and find spectra of some classes unbalanced graphs.
منابع مشابه
On net-Laplacian Energy of Signed Graphs
A signed graph is a graph where the edges are assigned either positive ornegative signs. Net degree of a signed graph is the dierence between the number ofpositive and negative edges incident with a vertex. It is said to be net-regular if all itsvertices have the same net-degree. Laplacian energy of a signed graph is defined asε(L(Σ)) =|γ_1-(2m)/n|+...+|γ_n-(2m)/n| where γ_1,...,γ_n are the ei...
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ژورنال
عنوان ژورنال: Linear & Multilinear Algebra
سال: 2022
ISSN: ['0308-1087', '1026-7573', '1563-5139']
DOI: https://doi.org/10.1080/03081087.2022.2158165