[CS.DS] Revolutionary Compact Multi-text Index for Circular Cartesian Tree Matching

Introduction

Cartesian tree matching (CTM) is a structural pattern matching approach that identifies sequences with the same Cartesian tree topology, making it suitable for data with natural variability where exact comparisons carry little semantic meaning. While theoretical algorithms for CTM have been studied extensively, systematic empirical evaluations of practical implementations remain rare.

Implementation

This article presents an implementation of the Cartesian Extended Burrows-Wheeler Transform (ceBWT), a BWT-based index structure for CTM. The implementation supports both a dynamically extendable and a statically compressed index variant.

// Pseudo code example
class CartesianTree {
    // Node structure
    struct Node {
        int value;
        Node* left;
        Node* right;
    };
    // Insert function
    void insert(int value) {
        // Insertion logic
    }
};

Conclusion

This implementation provides an efficient indexing structure for Cartesian tree matching, catering to the needs of various application scenarios.

Blogger's Review: This research offers a new perspective on Cartesian tree matching through the implementation of ceBWT, bridging theory and practice while showcasing its potential in handling data with natural variability.