### PEBBLING EXPONENTS OF PATHS

Kim, Ju-Young;Kim, Sun-Ah

• 투고 : 2010.11.19
• 심사 : 2010.12.11
• 발행 : 2010.12.25
• 13 3

#### 초록

A pebbling move on a connected graph G is taking two pebbles off of one vertex and placing one of them on an adjacent vertex. For a connected graph G, $G^p$ (p > 1) is the graph obtained from G by adding the edges (u, v) to G whenever 2 $\leq$ dist(u, v) $\leq$ p in G. And the pebbling exponent of a graph G to be the least power of p such that the pebbling number of $G^p$ is equal to the number of vertices of G. We compute the pebbling number of fourth power of paths so that the pebbling exponents of some paths are calculated.

#### 키워드

exponent;path;pebbling

#### 참고문헌

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