Omer Eğecioğlu - Department of Computer Science, University of California Santa Barbara, CA ۹۳۱۰۶, USA
Elif Sayg - Department of Mathematics and Science Education, Hacettepe University, ۰۶۸۰۰, Ankara, Turkey
Zülfükar Sayg - Department of Mathematics, TOBB University of Economics and Technology, ۰۶۵۶۰, 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.

Keywords: Hypercube, Fibonacci cube, Alternate Lucas cube, Mostar index, Wiener index