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On Growth Rates of Permutations, Set Partitions, Ordered Graphs and Other Objects
2008
Electronic Journal of Combinatorics
For classes ${\cal O}$ of structures on finite linear orders (permutations, ordered graphs etc.) endowed with containment order $\preceq$ (containment of permutations, subgraph relation etc.), we investigate restrictions on the function $f(n)$ counting objects with size $n$ in a lower ideal in $({\cal O},\preceq)$. We present a framework of edge $P$-colored complete graphs $({\cal C}(P),\preceq)$ which includes many of these situations, and we prove for it two such restrictions (jumps in
doi:10.37236/799
fatcat:4nbfuxm3fzgopaxrppoccazdyy