Document Type : Research Paper
Department of Computer Science, University of California Santa Barbara, CA 93106, USA
Department of Mathematics and Science Education, Hacettepe University, 06800, Ankara, Turkey
Department of Mathematics, TOBB University of Economics and Technology, 06560, Ankara, Turkey
The 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.