THE MOSTAR AND WIENER INDEX OF ALTERNATE LUCAS CUBES
Transactions on Combinatorics, cilt.12, sa.1, ss.37-46, 2023 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 12 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.22108/toc.2022.130675.1912
- Dergi Adı: Transactions on Combinatorics
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.37-46
- Anahtar Kelimeler: Alternate lucas cube, Fibonacci cube, Hypercube, Mostar index, Wiener index.
- Hacettepe Üniversitesi Adresli: Evet
Özet
© 2022 University of IsfahanThe Wiener index and the Mostar index quantify two distance related properties of connected graphs: the Wiener index is the sum of the distances over all pairs of vertices and the Mostar index is a measure of how far the graph is from being distance-balanced. These two measures have been considered for a number of interesting families of graphs. In this paper, we determine the Wiener index and the Mostar index of alternate Lucas cubes. Alternate Lucas cubes form a family of interconnection networks whose recursive construction mimics the construction of the well-known Fibonacci cubes.