Ordering of minimal energies in unicyclic signed graphs
نویسندگان
چکیده
منابع مشابه
Ordering Unicyclic Graphs in Terms of Their Smaller Least Eigenvalues
Let G be a simple graph with n vertices, and let A be the 0, 1 -adjacency matrix of G. We call det λI −A the characteristic polynomial of G, denoted by P G; λ , or abbreviated P G . Since A is symmetric, its eigenvalues λ1 G , λ2 G , . . . , λn G are real, and we assume that λ1 G ≥ λ2 G ≥ · · · ≥ λn G . We call λn G the least eigenvalue of G. Up to now, some good results on the least eigenvalue...
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F-index of a graph is the sum of the cube of the degrees of the vertices. In this paper, we investigate the F-indices of unicyclic graphs by introducing some transformation, and characterize the unicyclic graphs with the first five largest F-indices and the unicyclic graphs with the first two smallest F-indices, respectively.
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ژورنال
عنوان ژورنال: Revista De La Union Matematica Argentina
سال: 2023
ISSN: ['0041-6932', '1669-9637']
DOI: https://doi.org/10.33044/revuma.2565