the mostar and wiener index of alternate lucas cubes

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.