J4 ›› 2009, Vol. 44 ›› Issue (8): 31-34.

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L(2,1,1)-Labeling of simple graphs

  

  1.  DUAN Ci-Meng  MIAO Lian-Yang：College of Science, China University of Mining and Technology, Xuzhou 221008 , Jiangsu, China; LV Ping-Li：College of Xuhai, China University of Mining and Technology, Xuzhou 221008, J iangsu, China; MIAO Zheng-Ke： School of Mathematical Science, Xuzhou Normal University, Xuzhou 221116, Jian gsu, China
  • Received:2008-11-14 Online:2009-08-16 Published:2009-11-08

Abstract:

The L(2,1,1)-labeling numbers for comp lete graphs, complete bipartite   graphs, paths and cycles are given. An arithmetic method for L(2,1,1)-labeling  to a graph G with maximum degree Δ is given. It is proved that　λ2,1,1(G)≤Δ3-Δ2+2Δ.

Key words: graph labeling; L(2,1,1)-labeling; frequency assignment

CLC Number: 

  • O157.5
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