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- W2085272502 abstract "The local independence number αi(G) of a graph G at a distance i is the maximum number of independent vertices at distance i from any vertex. We study the impact of restricting αi(G) on the (global) independence number α(G). Among others, we show that in graphs with bounded diameter, α(G) is bounded if and only if αi(G) is bounded for at least one i, 2⩽i⩽(diam(G)−1)/4." @default.
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- W2085272502 date "2003-10-01" @default.
- W2085272502 modified "2023-10-15" @default.
- W2085272502 title "On local and global independence numbers of a graph" @default.
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- W2085272502 doi "https://doi.org/10.1016/s0166-218x(03)00391-3" @default.
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