The t-pebbling number of Jahangir graph J3,m

The t-pebbling number, f t(G), of a connected graph G, is the smallest positive integer such that from every placement of f t(G) pebbles, t pebbles can be moved to any specified target vertex by a sequence of pebbling moves, each move removes two pebbles of a vertex and placing one on an adjacent ve...

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Detalles Bibliográficos
Autores principales: Lourdusamy,A., Mathivanan,T.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2015
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000200005
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Sumario:The t-pebbling number, f t(G), of a connected graph G, is the smallest positive integer such that from every placement of f t(G) pebbles, t pebbles can be moved to any specified target vertex by a sequence of pebbling moves, each move removes two pebbles of a vertex and placing one on an adjacent vertex. In this paper, we determine the t-pebbling number for Jahangir graph J3,m and finally we give a conjecture for the t-pebbling number of the graph Jn,m.