Ordering of minimal energies in unicyclic signed graphs
| Autor: | Tahir Shamsher, Shariefuddin Pirzada, Yilun Shang, Mushtaq A. Bhat |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Revista de la Unión Matemática Argentina. :119-133 |
| ISSN: | 1669-9637 0041-6932 |
| Popis: | Let S = (G, σ) be a signed graph of order n and size m and let t1, t2, . . . , tn be the eigenvalues of S. The energy of S is defined as E(S) = Pnj=1|tj|. A connected signed graph is said to be unicyclic if its order and size are same. In this paper, we characterize, up to switching, theunicyclic signed graphs with first 11 minimal energies for all n ≥ 12. For 3 ≤ n ≤ 7, we provide complete ordering of unicyclic signed graphs with respect to energy. For n = 8, 9, 10 and 11, we determine unicyclic signed graphs with first 13 minimal energies respectively. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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