A note on independent domination in graphs of girth 6
نویسنده
چکیده
Let G be a simple graph of order n, maximum degree Δ and minimum degree δ ≥ 2. The independent domination number i(G) is defined to be the minimum cardinality among all maximal independent sets of vertices of G. The girth g(G) is the minimum length of a cycle in G. We establish best possible upper and lower bounds, as functions of n, Δ and δ, for the independent domination number of graphs G with g(G) = 6.
منابع مشابه
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Let G be a simple graph of order n, maximum degree ∆ and minimum degree δ ≥ 2. The independent domination number i(G) is defined to be the minimum cardinality among all maximal independent sets of vertices of G. The girth g(G) is the minimum length of a cycle in G. We establish sharp upper and lower bounds, as functions of n, ∆ and δ, for the independent domination number of graphs G with g(G) ...
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 42 شماره
صفحات -
تاریخ انتشار 2008