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轮图中间图的pebbling数
引用本文:史彩霞,叶永升,高洁,程芳.轮图中间图的pebbling数[J].淮北煤炭师范学院学报(自然科学版),2014(1):1-4.
作者姓名:史彩霞  叶永升  高洁  程芳
作者单位:淮北师范大学 数学科学学院,安徽淮北235000
基金项目:国家自然科学基金项目(6130048,11371243);安徽省自然科学基金项目(1408085MA08);安徽省教育厅自然科学基金项目(KJ20132279,1208085QF119)
摘    要:图G的一个pebbling移动是从一个顶点移走2个pebble,而把其中的一个移到与其相邻的一个顶点上.图G的pebbling数f(G)是最小的正整数n,使得不管n个pebble如何放置在G的顶点上,总可以通过一系列的pebbling移动把一个pebble移到图G的任意一个顶点上.文章研究轮图中间图的pebbling数.

关 键 词:轮图  中间图  pebbling数

Pebbling Number of the Middle Graph of Wheel Graphs
SHI Cai-xia,YE Yong-sheng,GAO Jie,CHENG Fang.Pebbling Number of the Middle Graph of Wheel Graphs[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),2014(1):1-4.
Authors:SHI Cai-xia  YE Yong-sheng  GAO Jie  CHENG Fang
Institution:(School of Mathematical Sciences, Huaibei Normal University, 235000, Huaibei ,Anhui , China )
Abstract:A pebbling move on a graph G consists of taking two pebbles off one vertex and then placing one on an adjacent vertex. The pebbling number of a connected graph G,denoted by f(G),is the least positive in-teger n such that any distribution of n pebbles on G allows one pebble to be moved to any specified,but arbi-trary vertex by a sequence of pebbling moves. This paper determines the pebbling number of the middle graph of wheel graphs.
Keywords:wheel graph  middle graph  pebbling number
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