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The Mostar and Wiener index of alternate Lucas cubes | ||
| Transactions on Combinatorics | ||
| مقاله 12، دوره 12، شماره 1، خرداد 2023، صفحه 37-46 اصل مقاله (430.95 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2022.130675.1912 | ||
| نویسندگان | ||
| Ömer Eğecioğlu1؛ Elif Sayg2؛ Zülfükar Saygi* 3 | ||
| 1Department of Computer Science, University of California Santa Barbara, CA 93106, USA | ||
| 2Department of Mathematics and Science Education, Hacettepe University, 06800, Ankara, Turkey | ||
| 3Department of Mathematics, TOBB University of Economics and Technology, 06560, Ankara, Turkey | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Keywords: Hypercube؛ Fibonacci cube؛ Alternate Lucas cube؛ Mostar index؛ Wiener index | ||
| مراجع | ||
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