University of IsfahanTransactions on Combinatorics2251-865712120230301The Mostar and Wiener index of alternate Lucas cubes37462629310.22108/toc.2022.130675.1912ENÖmerEğecioğluDepartment of Computer Science, University of California Santa Barbara, CA 93106, USA0000-0002-6070-761XElifSaygDepartment of Mathematics and Science Education, Hacettepe University, 06800, Ankara, Turkey0000-0001-8811-4747ZülfükarSaygiDepartment of Mathematics, TOBB University of Economics and Technology, 06560, Ankara, Turkey0000-0002-7575-3272Journal Article20210921The 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.https://toc.ui.ac.ir/article_26293_10c85bae888b9e639d13806fc13d60b0.pdf