Restricted SDC Edge Cover Pebbling Number
Combinatorics
2024-06-05 v1 Number Theory
Abstract
The restricted edge pebbling distribution is a distribution of pebbles on the edges of 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 . Given an SDC labeling of , the restricted SDC edge cover pebbling number of a graph , , is the least positive integer for which any restricted edge pebbling distribution of pebbles such that at the end there are no pebbles on the edges having label will allow the shifting of a pebble simultaneously to all edges with label using a sequence of restricted edge pebbling moves. We compute the restricted SDC edge cover pebbling number for some graphs
Keywords
Cite
@article{arxiv.2406.02259,
title = {Restricted SDC Edge Cover Pebbling Number},
author = {A. Lourdusamy and F. Joy Beaula and F. Patrick and I. Dhivviyanandam},
journal= {arXiv preprint arXiv:2406.02259},
year = {2024}
}
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