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20 results for “Binary trees”

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math.COcs.DMq-bio.PETheoreticalRecentJun 12, 2026

Note on the Maximum Number of Trees Displayed by a Tree-Child Network

Yukihiro Murakami, Charles Semple

This paper proves that the number of distinct rooted binary phylogenetic trees displayed by a binary tree-child network with n leaves is at most 2^(n-1)-1, and shows that this upper bound is sharp.

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cs.DSTheoreticalRecentAug 5, 2026

The Greedy Binary Search Tree is Non-trivially Competitive

Yuhao Guo, Seth Pettie, Daniel Skora, Chengzhang Wan

This paper proves the competitiveness of Greedy binary search tree as 2^(O(sqrt(loglog n))), improving upon the widely held belief of O(1)-competitiveness.

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cs.DCcs.DSEmpiricalRecentJun 27, 2026

Concurrent Splay-Based Tree

Vitaly Aksenov, Rene van Bevern, Artem Shilkin

This paper proposes a splay-like rotation design for concurrent binary search trees to preserve the main benefit of splaying on skewed workloads while reducing contention near the root.

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cs.CCTheoreticalRecentOct 7, 2026

Optimal (Parallel) Spooky Pebbling on Binary Trees

Mingyu Lee, Sanghyun Lee, Kabgyun Jeong

The paper presents an algorithm for pebble games that achieves optimal work and parallel depth for complete binary trees under a fixed space budget.

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cs.DMmath.COTheoreticalRecentJun 15, 2026

Encoding Phylogenetic Networks with Least Common Ancestor Constraints

Marc Hellmuth, Anna Lindeberg, Vincent Moulton

The paper studies encodings of phylogenetic networks based on least common ancestor constraints and identifies which parts of the network are determined by this relation.

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cs.DMTheoreticalRecentJun 12, 2026

The Genesis Sequence, Tree Records and Endofunctions

Enrica Duchi, Adrián Lillo, Pablo Puerto, Mercedes Rosas +1 more

The paper establishes bijections between tree records, girth of connected endofunctions, and genesis sequences, deriving generating functions for tree and forest record numbers using Cayley's tree fun…

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cs.DMTheoreticalRecentJul 8, 2026

Canonical Join Trees

Arne Leitert

This paper characterizes acyclic hypergraphs according to whether they admit unique canonical join trees as root and provides a linear-time algorithm to construct them.

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cs.NETheoreticalRecentJun 11, 2026

Improved Runtime Bound for the $(μ+ 1)$ EA on BinVal

Joris Belder, Johannes Lengler, Raghu Raman Ravi

This paper improves the upper bound for the (μ+1) EA on the Binary Value function BinVal.

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cs.DScs.CCq-bio.PERecentMay 29, 2026

Tree Containment Parameterized by Scanwidth

Leo van Iersel, Mark Jones, Mathias Weller

This paper develops a parameterized algorithm for the NP-complete Tree Containment problem, showing it can be solved efficiently based on a structural parameter called scanwidth.

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cs.PLEmpiricalRecentJun 22, 2026

Lifting E-Graphs: A Function Isn't a Constant

Philip Zucker

An approach is described to support rigid α canonical variables in an e-graph.

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cs.DMcs.DSmath.COTheoreticalRecentJun 16, 2026

An alternative way of defining finite graphs

Maxim Nazarov

The paper introduces graph linear notation as an alternative definition for finite graphs, simplifying graph illustration and isomorphism comparison.

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cs.CCcs.LGEmpiricalRecentJun 15, 2026

Polynomial-Time Mistake-Bounded Language Generation

Héctor Jimenez, Alexander Kozachinskiy, Vicente Opazo

One clear sentence describing what this paper does

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cs.CCcs.DSTheoreticalRecentOct 25, 2026

Unconditional Lower Bounds for the Fredman--Khachiyan Algorithms for Monotone Boolean Duality Testing

Khaled Elbassioni

This paper proves lower bounds on the number of recursive calls made by two algorithms for monotone Boolean duality testing.

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cs.NIEmpiricalRecentJul 27, 2026

Methods for Path Set Attribute Calculation in Network Systems

Giovanni Fiaschi, Carlo Vitucci, Thomas Westerbäck, Daniel Sundmark +1 more

This paper presents an optimized algorithm for computing cut sets of a path set in graph theory and introduces a vectorized computational framework for property calculations.

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