Maximal and maximum independent sets in graphs with at most r cycles
نویسندگان
چکیده
We find the maximum number of maximal independent sets in two families of graphs: all graphs with n vertices and at most r cycles, and all such graphs that are also connected. In addition, we characterize the extremal graphs. This proves a strengthening of a conjecture of Goh and Koh [3]. We do the same for the maximum number of maximum independent sets, generalizing a theorem of Jou and Chang [7].
منابع مشابه
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 53 شماره
صفحات -
تاریخ انتشار 2006