Graphs with equal independence and annihilation numbers

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Abstract

The annihilation number α of a graph is an upper bound of the independence number α of a graph. In this article we characterize graphs with equal independence and annihilation numbers. In particular, we show that α = a if, and only if, either (1) α ≥ n/2 and α' = a, or (2) a

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Larson, C. E., & Pepper, R. (2011). Graphs with equal independence and annihilation numbers. Electronic Journal of Combinatorics, 18(1), 1–9. https://doi.org/10.37236/667

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