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- W2143965437 abstract "In this note it is proved that if a graph $G$ of order $n$ has an irreducible covering of its vertex set by $n-k$ cliques, then its clique number $omega (G)leq k+1$ if $k=2$ or 3 and $omega (G)leq { {k} choose {lfloor k/2rfloor }}$ if $kgeq 4$. These bounds are sharp if $ngeq k+1$ (for $k=2$ or 3) and $ngeq k+ { {k} choose {lfloor k/2rfloor }}$ (for $kgeq 4$)." @default.
- W2143965437 created "2016-06-24" @default.
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- W2143965437 date "2002-10-22" @default.
- W2143965437 modified "2023-10-18" @default.
- W2143965437 title "Irreducible Coverings by Cliques and Sperner's Theorem" @default.
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- W2143965437 doi "https://doi.org/10.37236/1672" @default.
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