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2-Restricted optimal pebbling number of some dendrimers | ||
| Journal of Hyperstructures | ||
| دوره 15، شماره 1، شهریور 2026، صفحه 83-90 اصل مقاله (2.8 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2026.18742.1152 | ||
| نویسندگان | ||
| Juma Gul Dehqan1؛ Saeid Alikhani* 2؛ Ali Delavarkhalafi1 | ||
| 1Department of Mathematical Sciences, Yazd University, 89195-741, Yazd, Iran | ||
| 2Department of Mathematics, Yazd University, Yazd , Iran | ||
| چکیده | ||
| This paper studies the 2-restricted optimal pebbling number of certain dendrimer graphs. In graph pebbling, a configuration is a distribution of pebbles on the vertices of a simple connected graph G. A pebbling move removes two pebbles from a vertex and places one on an adjacent vertex. A t-restricted pebbling configuration (tRPC) is an initial placement where no vertex holds more than t pebbles. A configuration is solvable if, for any target vertex v, a sequence of pebbling moves can place at least one pebble on v. The t-restricted optimal pebbling number, denoted πt*(G), is the minimum number of pebbles required for a solvable tRPC on G. We focus on the case t=2 and determine π2*(G) for several classes of dendrimers. | ||
| کلیدواژهها | ||
| Pebbling number؛ Optimal pebbling number؛ $t$-restricted optimal pebbling number؛ $2$-restricted optimal pebbling confugration | ||
| مراجع | ||
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