A new lower bound for the harmonious chromatic number

نویسندگان

  • Duncan Campbell
  • Keith Edwards
چکیده

A harmonious colouring of a simple graph G is a proper vertex colouring such that each pair of colours appears together on at most one edge. The harmonious chromatic number h(G) is the least number of colours in such a colouring. We obtain a new lower bound for the harmonious chromatic number of general graphs, in terms of the independence number of the graph, generalizing results of Moser [2].

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 29  شماره 

صفحات  -

تاریخ انتشار 2004