On independent domination and size

نویسنده

  • Julie Haviland
چکیده

For a simple graph G, the independent domination number i(G) is defined to be the minimum cardinality among all maximal independent sets of vertices of G. We establish upper bounds for the independent domination number of K1,k+1-free graphs, as functions of the order, size and k. Also we present a lower bound for the size of connected graphs with given order and value of independent domination number. All results are best possible, and we cite classes of extremal graphs.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 42  شماره 

صفحات  -

تاریخ انتشار 2008