Detour Pebbling Number on Some Commutative Ring Graphs
DOI:
https://doi.org/10.26713/cma.v14i1.2018Keywords:
Pebbling number, Detour pebbling number, Zero-divisor, Sum and the product of zero-divisor graphAbstract
The detour pebbling number of a graph \(G\) is the least positive integer \(f^{*}(G)\) such that these pebbles are placed on the vertices of \(G\), we can move a pebble to a target vertex by a sequence of pebbling moves each move taking two pebbles off a vertex and placing one of the pebbles on an adjacent vertex using detour path. In this paper, we compute the detour pebbling number for the commutative ring of zero-divisor graphs, sum and the product of zero divisor graphs.
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