PEBBLING NUMBERS OF THE COMPOSITIONS OF TWO GRAPHS

  • Kim, Ju-Young (Department of Mathematics, Catholic University) ;
  • Kim, Sung-Sook (Department of Applied Mathematics, Paichai University)
  • 발행 : 2002.05.01

초록

Let G be a connected graph. A pebbling move on a graph G is the movement of taking two pebbles off from a vertex and placing one of them onto an adjacent vertex. The pebbling number f(G) of a connected graph 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 compositions of two graphs are computed.

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