The Independence Number of Graphs with Large Odd Girth
نویسنده
چکیده
Let G be an r-regular graph of order n and independence number α(G). We show that if G has odd girth 2k + 3 then α(G) ≥ n1−1/kr1/k . We also prove similar results for graphs which are not regular. Using these results we improve on the lower bound of Monien and Speckenmeyer, for the independence number of a graph of order n and odd girth 2k + 3. AMS Subject Classification. 05C15 §
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 1 شماره
صفحات -
تاریخ انتشار 1994