(2,1)-Total number of trees with maximum degree three

  • Authors:
  • Weifan Wang;Dong Chen

  • Affiliations:
  • Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China;Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

  • Venue:
  • Information Processing Letters
  • Year:
  • 2009

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Abstract

The (2,1)-total labelling number @l"2^t(G) of a graph G is the width of the smallest range of integers that suffices to label the vertices and the edges of G such that no two adjacent vertices have the same label, no two adjacent edges have the same label and the difference between the labels of a vertex and its incident edges is at least 2. It is known that every tree T with maximum degree @D has @D+1=