1. Restricted SDC Edge Cover Pebbling Number
- Author
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Lourdusamy, A., Beaula, F. Joy, Patrick, F., and Dhivviyanandam, I.
- Subjects
Mathematics - Combinatorics ,Mathematics - Number Theory ,05C99, 05C78 ,F.2.2 - Abstract
The restricted edge pebbling distribution is a distribution of pebbles on the edges of $G$ is the placement of pebbles on the edges with the restriction that only an even number of pebbles should be placed on the edges with labels $0$. Given an SDC labeling of $G$, the restricted SDC edge cover pebbling number of a graph $G$, $\psi_{EC}(G)$, is the least positive integer $m$ for which any restricted edge pebbling distribution of $m$ pebbles such that at the end there are no pebbles on the edges having label $0$ will allow the shifting of a pebble simultaneously to all edges with label $1$ using a sequence of restricted edge pebbling moves. We compute the restricted SDC edge cover pebbling number for some graphs, Comment: 9
- Published
- 2024