The t-pebbling number of Lamp graphs

Abstract Let G be a graph and some pebbles are distributed on its vertices. A pebbling move (step) consists of removing two pebbles from one vertex, throwing one pebble away, and moving the other pebble to an adjacent vertex. The t-pebbling number of a graph G is the least integer m such that from a...

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Autores principales: Lourdusamy,A., Patrick,F., Mathivanan,T.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2018
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000300503
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spelling oai:scielo:S0716-091720180003005032018-10-10The t-pebbling number of Lamp graphsLourdusamy,A.Patrick,F.Mathivanan,T. Pebbling number t-Pebbling number Lamp graphs Abstract Let G be a graph and some pebbles are distributed on its vertices. A pebbling move (step) consists of removing two pebbles from one vertex, throwing one pebble away, and moving the other pebble to an adjacent vertex. The t-pebbling number of a graph G is the least integer m such that from any distribution of m pebbles on the vertices of G, we can move t pebbles to any specified vertex by a sequence of pebbling moves. In this paper, we determine the t-pebbling number of Lamp graphs.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.3 20182018-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000300503en10.4067/S0716-09172018000300503
institution Scielo Chile
collection Scielo Chile
language English
topic Pebbling number
t-Pebbling number
Lamp graphs
spellingShingle Pebbling number
t-Pebbling number
Lamp graphs
Lourdusamy,A.
Patrick,F.
Mathivanan,T.
The t-pebbling number of Lamp graphs
description Abstract Let G be a graph and some pebbles are distributed on its vertices. A pebbling move (step) consists of removing two pebbles from one vertex, throwing one pebble away, and moving the other pebble to an adjacent vertex. The t-pebbling number of a graph G is the least integer m such that from any distribution of m pebbles on the vertices of G, we can move t pebbles to any specified vertex by a sequence of pebbling moves. In this paper, we determine the t-pebbling number of Lamp graphs.
author Lourdusamy,A.
Patrick,F.
Mathivanan,T.
author_facet Lourdusamy,A.
Patrick,F.
Mathivanan,T.
author_sort Lourdusamy,A.
title The t-pebbling number of Lamp graphs
title_short The t-pebbling number of Lamp graphs
title_full The t-pebbling number of Lamp graphs
title_fullStr The t-pebbling number of Lamp graphs
title_full_unstemmed The t-pebbling number of Lamp graphs
title_sort t-pebbling number of lamp graphs
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2018
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000300503
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