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Let G be a nontrivial connected graph of order n, and k an integer with 2 ≤k ≤ n. For a set S of k vertices of G, let κ(S) denote the maximum number ℓ of edge-disjoint trees T1, T2, . . . , T...
We consider two types of geometric graphs on point sets on the plane based on a plane set C: one obtained by translates of C, another by positively scaled translates (homothets) of C. For compact and ...
We consider the problem of enumerating permutations in the symmetric group on n elements which avoid a given set of consecutive pattern S, and in particular computing asymptotics as n tends to infin...

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