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The 2-Pebbling Property of the Middle Graph of Fan Graphs

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  • Yongsheng Ye
  • Fang Liu
  • Caixia Shi

Abstract

A pebbling move on a graph consists of taking two pebbles off one vertex and placing one pebble on an adjacent vertex. The pebbling number of a connected graph , denoted by , is the least such that any distribution of pebbles on allows one pebble to be moved to any specified but arbitrary vertex by a sequence of pebbling moves. This paper determines the pebbling numbers and the 2-pebbling property of the middle graph of fan graphs.

Suggested Citation

  • Yongsheng Ye & Fang Liu & Caixia Shi, 2014. "The 2-Pebbling Property of the Middle Graph of Fan Graphs," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-5, July.
    • Handle: RePEc:hin:jnljam:304514
    DOI: 10.1155/2014/304514
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