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학술저널

PEBBLING NUMBERS OF GRAPH PRODUCTS

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Let G be a connected graph. A pebbling move on a graph G is taking two pebbles off one vertex and placing one of them on an adjacent vertex. The pebbling number of a connected graph G, f(G) , is the least n such that any distribution of n pebbles on the vertices of G allows one pebble to be moved to any specified, but arbitrary vertex by a sequence of pebbling moves. In this paper, the pebbling numbers of the lexicographic products of some graphs are computed.

1. Introduction

2. Lexicographic Product

3. Pebbling G * H with diameter( G) = 2.

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