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Domination Cover Pebbling: Structural Results

Combinatorics 2007-05-23 v1

Abstract

This paper continues the results of "Domination Cover Pebbling: Graph Families." An almost sharp bound for the domination cover pebbling (DCP) number for graphs G with specified diameter has been computed. For graphs of diameter two, a bound for the ratio between the cover pebbling number of G and the DCP number of G has been computed. A variant of domination cover pebbling, called subversion DCP is introducted, and preliminary results are discussed.

Keywords

Cite

@article{arxiv.math/0509564,
  title  = {Domination Cover Pebbling: Structural Results},
  author = {Nathaniel G. Watson and Carl R. Yerger},
  journal= {arXiv preprint arXiv:math/0509564},
  year   = {2007}
}

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15 pages