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- W1509033261 abstract "A simple matrix is a (0,1)-matrix with no repeated columns. For a (0,1)-matrix $F$, we say that a (0,1)-matrix $A$ has $F$ as a configuration if there is a submatrix of $A$ which is a row and column permutation of $F$ (trace is the set system version of a configuration). Let $ncols{A}$ denote the number of columns of $A$. Let ${cal F}$ be a family of matrices. We define the extremal function $forb(m,{cal F})=max{ncols{A} : A is m-rowed simple matrix and has no configuration Fin{cal F}}$. We consider some families ${cal F}={F_1,F_2,ldots, F_t}$ such that individually each $forb(m,F_i)$ has greater asymptotic growth than $forb(m,{cal F})$." @default.
- W1509033261 created "2016-06-24" @default.
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- W1509033261 date "2013-07-03" @default.
- W1509033261 modified "2023-10-18" @default.
- W1509033261 title "Forbidden Families of Configurations" @default.
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- W1509033261 doi "https://doi.org/10.48550/arxiv.1307.1148" @default.
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