Search Results for author: J. Ian Munro

Found 4 papers, 0 papers with code

On the Cost of Unsuccessful Searches in Search Trees with Two-way Comparisons

no code implementations1 Mar 2021 Marek Chrobak, Mordecai Golin, J. Ian Munro, Neal E. Young

We address the question "what is the additional cost of determining approximate locations for non-key queries"?

Data Structures and Algorithms 68P10, 68P30, 68W25, 94A45 E.4; G.1.6; G.2.2; H.3.1; I.4.2

A Simple Algorithm for Optimal Search Trees with Two-Way Comparisons

no code implementations1 Mar 2021 Marek Chrobak, Mordecai Golin, J. Ian Munro, Neal E. Young

We present a simple $O(n^4)$-time algorithm for computing optimal search trees with two-way comparisons.

Data Structures and Algorithms 68P10, 68P30, 68W25, 94A45 E.4; G.1.6; G.2.2; H.3.1; I.4.2

Distance Oracles for Interval Graphs via Breadth-First Rank/Select in Succinct Trees

no code implementations15 May 2020 Meng He, J. Ian Munro, Yakov Nekrich, Sebastian Wild, Kaiyu Wu

We present the first succinct distance oracles for (unweighted) interval graphs and related classes of graphs, using a novel succinct data structure for ordinal trees that supports the mapping between preorder (i. e., depth-first) ranks and level-order (breadth-first) ranks of nodes in constant time.

Data Structures and Algorithms

Optimal Search Trees with 2-Way Comparisons

no code implementations2 May 2015 Marek Chrobak, Mordecai Golin, J. Ian Munro, Neal E. Young

Until this paper, the problem of finding an optimal search tree using 2-way comparisons remained open -- poly-time algorithms were known only for restricted variants.

Data Structures and Algorithms 68P10, 68P30, 68W25, 94A45, E.4; G.1.6; G.2.2; H.3.1; I.4.2

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