Transmission and Reciprocal Transmission Based Topological Co-Indices of Graphs

Ramane H. S., Talwar S. Y., CANGÜL İ. N.

European Journal of Pure and Applied Mathematics, cilt.13, sa.5, ss.1057-1071, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.29020/nybg.ejpam.v13i5.3724
  • Dergi Adı: European Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1057-1071
  • Anahtar Kelimeler: Transmission of a vertex, reciprocal transmission of a vertex, topological index, graph distance, 1ST ZAGREB INDEX
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The transmission of a vertex u in a connected graph G is defined as the sum of the distances between u and all other vertices of a graph G. The reciprocal transmission of a vertex u in a connected graph G is defined as the sum of the reciprocal of distances between u and all other vertices of a graph G. In this paper, we introduce and study new topological co-indices based on the transmission and reciprocal transmission of a vertex, such as transmission and reciprocal transmission sum-connectivity co-indices, transmission and reciprocal transmission atom bond connectivity co-indices, transmission and reciprocal transmission geometric-arithmetic coindices, transmission and reciprocal transmission augmented Zagreb co-indices, and transmission and reciprocal transmission arithmetic-geometric co-indices. Further we obtain general formulae for some graphs.