Upper bounds for harmonious colorings

نویسندگان

  • Colin McDiarmid
  • Luo Xinhua
چکیده

A harmonious colouring of a simple graph G is a colouring of the vertices such that adjacent vertices receive distinct colours and 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 improve an upper bound on h(G) due to Lee and Mitchem, and give upper bounds for related quantities.

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عنوان ژورنال:
  • Journal of Graph Theory

دوره 15  شماره 

صفحات  -

تاریخ انتشار 1991