Sorting pattern-avoiding permutations via 0-1 matrices forbidding product patterns
P Chalermsook, S Pettie… - Proceedings of the 2024 …, 2024 - SIAM
We consider the problem of comparison-sorting an n-permutation S that avoids some k-
permutation π. Chalermsook, Goswami, Kozma, Mehlhorn, and Saranurak [CGK+ 15b] …
permutation π. Chalermsook, Goswami, Kozma, Mehlhorn, and Saranurak [CGK+ 15b] …
On the Extremal Functions of Acyclic Forbidden 0-1 Matrices
S Pettie, G Tardos - Proceedings of the 2024 Annual ACM-SIAM …, 2024 - SIAM
The extremal theory of forbidden 0-1 matrices studies the asymptotic growth of the function
Ex (P, n), which is the maximum weight of a matrix A∈{0, 1} n× n whose submatrices avoid a …
Ex (P, n), which is the maximum weight of a matrix A∈{0, 1} n× n whose submatrices avoid a …
Splay trees on trees
BA Berendsohn, L Kozma - Proceedings of the 2022 Annual ACM-SIAM …, 2022 - SIAM
Search trees on trees (STTs) are a far-reaching generalization of binary search trees (BSTs),
allowing the efficient exploration of tree-structured domains.(BSTs are the special case in …
allowing the efficient exploration of tree-structured domains.(BSTs are the special case in …
Competitive online search trees on trees
We consider the design of adaptive data structures for searching elements of a tree-
structured space. We use a natural generalization of the rotation-based online binary search …
structured space. We use a natural generalization of the rotation-based online binary search …
Factoring pattern-free permutations into separable ones
We show that for any permutation π there exists an integer k π such that every permutation
avoiding π as a pattern factorises as the composition of at most k π separable permutations …
avoiding π as a pattern factorises as the composition of at most k π separable permutations …
[PDF][PDF] Optimization with pattern-avoiding input
Permutation pattern-avoidance is a central concept of both enumerative and extremal
combinatorics. In this paper we study the effect of permutation pattern-avoidance on the …
combinatorics. In this paper we study the effect of permutation pattern-avoidance on the …
Smooth heaps and a dual view of self-adjusting data structures
L Kozma, T Saranurak - Proceedings of the 50th Annual ACM SIGACT …, 2018 - dl.acm.org
We present a new connection between self-adjusting binary search trees (BSTs) and heaps,
two fundamental, extensively studied, and practically relevant families of data structures …
two fundamental, extensively studied, and practically relevant families of data structures …
Push-down trees: optimal self-adjusting complete trees
This paper studies a fundamental algorithmic problem related to the design of demand-
aware networks: networks whose topologies adjust toward the traffic patterns they serve, in …
aware networks: networks whose topologies adjust toward the traffic patterns they serve, in …
Finding and counting permutations via CSPs
Permutation patterns and pattern avoidance have been intensively studied in combinatorics
and computer science, going back at least to the seminal work of Knuth on stack-sorting …
and computer science, going back at least to the seminal work of Knuth on stack-sorting …
A new path from splay to dynamic optimality
Consider the task of performing a sequence of searches in a binary search tree. After each
search, an algorithm is allowed to arbitrarily restructure the tree, at a cost proportional to the …
search, an algorithm is allowed to arbitrarily restructure the tree, at a cost proportional to the …