Signed Graphs with Fuzzy Labels and their Energy
Boletim da Sociedade Paranaense de Matematica, cilt.44, 2025 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44
- Basım Tarihi: 2025
- Doi Numarası: 10.5269/bspm.77698
- Dergi Adı: Boletim da Sociedade Paranaense de Matematica
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
- Anahtar Kelimeler: energy, fuzzy signed graph, matrix, signed degree, spectra, Vertex label
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
In a mapping η:E→{+,−} a fuzzy graph Γ(σ,μ) is said to be a fuzzy signed graph if each edge is signed to {+ or -}. A vertex signed fuzzy graph is one in which each node has a signed value of {+ or -}. The difference between positive degree and negative degree of a vertex is called signed degree of that vertex. The notion of signed graphs with fuzzy labels is presented making use of signed degree. The adjacency matrix and characteristic polynomial of several class of signed graphs with fuzzy labels are obtained. Additionally, we find the spectra, energy, and some limitations of signed graphs with fuzzy labels.