On k-total distance degrees and k-total Wiener polarity index

Ediz S., Çiftçi İ., Cancan M., Farahani M. R.

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, cilt.42, sa.7, ss.1469-1477, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 7
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/02522667.2021.1896652
  • Dergi Adı: JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.1469-1477
  • Anahtar Kelimeler: k-total distance degree, Wiener polarity index, k-total Wiener polarity index, ZERO DIVISOR GRAPH, ZAGREB INDEXES, MATRICES
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This study investigates the relationship between classical degree and recently defined k-distance degree, ve-degree and ev-degree concepts in graph theory. We firstly define the k-total distance degree notion and investigate its relation with Zagreb and Wiener polarity indices. One of the main relation is W-3*(T) = 1/2 M-1 (T) + W-p (T) where W-3* (T), M-1 (T) and W-p(T) denotes 3-total Wiener polarity index, the first Zagreb index and Wiener polarity index, respectively for any tree T.