Gourava Index Adjacency Polynomial of Some Graphs

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

Proceedings of the Jangjeon Mathematical Society, vol.28, no.1, pp.9-15, 2025 (Scopus)

  • Publication Type: Article / Article
  • Volume: 28 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.17777/pjms2025.28.1.9
  • Journal Name: Proceedings of the Jangjeon Mathematical Society
  • Journal Indexes: Scopus, zbMATH
  • Page Numbers: pp.9-15
  • Keywords: Gourava index adjacency polynomial, Graph, regular graph, semitotal line graph, semitotal point graph, subdivision graph, total graph
  • Bursa Uludag University Affiliated: Yes

Abstract

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.