English

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 GG 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 00. Given an SDC labeling of GG, the restricted SDC edge cover pebbling number of a graph GG, ψEC(G)\psi_{EC}(G), is the least positive integer mm for which any restricted edge pebbling distribution of mm pebbles such that at the end there are no pebbles on the edges having label 00 will allow the shifting of a pebble simultaneously to all edges with label 11 using a sequence of restricted edge pebbling moves. We compute the restricted SDC edge cover pebbling number for some graphs

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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}
}

Comments

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R2 v1 2026-06-28T16:52:51.930Z