Hub Cover Pebbling Number

The hub cover pebbling number, h ∗ ( G ) , of a graph $G$, is the least non-negative integer such that from all distributions of h ∗ ( G ) pebbles over the vertices of G , it is possible to place at least one pebble each on every vertex of a set of vertices of a hub set for G using a sequence of pebbling move operations, each pebbling move operation removes two pebbles from a vertex and places one pebble on an adjacent vertex. Here we compute the hub cover pebbling number for wheel related graphs.

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Publication Details

Journal
Ars Combinatoria
Published
2024-09-30
DOI
https://doi.org/10.61091/ars-160-05
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
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article

Hub Cover Pebbling Number

F. Patrick, A. Lourdusamy, F. Joy Beaula
Ars Combinatoria
Mathematics and Applications
article

Hub Cover Pebbling Number

F. Patrick, A. Lourdusamy, F. Joy Beaula
article en

Abstract

The hub cover pebbling number, h ∗ ( G ) , of a graph $G$, is the least non-negative integer such that from all distributions of h ∗ ( G ) pebbles over the vertices of G , it is possible to place at least one pebble each on every vertex of a set of vertices of a hub set for G using a sequence of pebbling move operations, each pebbling move operation removes two pebbles from a vertex and places one pebble on an adjacent vertex. Here we compute the hub cover pebbling number for wheel related graphs.

Ars CombinatoriaVol. 160(1)
Openalex Percentile: Top 73%
Mathematics and Applications
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Hub Cover Pebbling Number — F. Patrick, A. Lourdusamy, et al. · Ars Combinatoria (2024) | TGRS Research Map | TGRS