On the k-independence number in graphs
نویسندگان
چکیده
For an integer k ≥ 1 and a graph G = (V,E), a subset S of V is kindependent if every vertex in S has at most k − 1 neighbors in S. The k-independent number βk(G) is the maximum cardinality of a kindependent set of G. In this work, we study relations between βk(G), βj(G) and the domination number γ(G) in a graph G where 1 ≤ j < k. Also we give some characterizations of extremal graphs.
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 59 شماره
صفحات -
تاریخ انتشار 2014