Gourava Index Adjacency Polynomial of Some Graphs

Mahalank P., Desai A., Ramane H., CANGÜL İ. N.

Proceedings of the Jangjeon Mathematical Society, cilt.28, sa.1, ss.9-15, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.17777/pjms2025.28.1.9
  • Dergi Adı: Proceedings of the Jangjeon Mathematical Society
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.9-15
  • Anahtar Kelimeler: Gourava index adjacency polynomial, Graph, regular graph, semitotal line graph, semitotal point graph, subdivision graph, total graph
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The Gourava index adjacency polynomial of a graph G is the characteristic polynomial of the Gourava index adjacency matrix GIA(G) whose (i, j)-th entry is d(vi) + d(vj) + d(vi)d(vj), whenever the vertex vi is adjacent to vj, otherwise it is zero, where di is the degree of the vertex vi. In this article, we obtain the Gourava index adjacency polynomial of graphs obtained from regular graphs.