HOLLOW VICTORY HEAPS

This thesis introduces Hollow Victory Heaps, a binary version of Quake Heaps that incorporates concepts from Hollow Heaps. The proposed data structure features simpler operations while maintaining efficiency comparable to the well-known, yet complex, Fibonacci Heaps. It supports the insert and decrease-key operations in amortized 0(1) time, and the delete-min operation in amortized 0(log n) time. Additionally, we believe that Hollow Victory Heaps is an excellent choice for educational purposes, as its hollow concept simplifies the understanding of heap operations and effectively demonstrates key principles of advanced heap structures.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-05-07
DOI
https://doi.org/10.5281/zenodo.15353839
Primary Topic
Cryptography and Residue Arithmetic
Type
article
Field-Weighted Citation Impact
0.00
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article

HOLLOW VICTORY HEAPS

Zenodo (CERN European Organization for Nuclear Research)
Cryptography and Residue Arithmetic
article

HOLLOW VICTORY HEAPS

article en

Abstract

This thesis introduces Hollow Victory Heaps, a binary version of Quake Heaps that incorporates concepts from Hollow Heaps. The proposed data structure features simpler operations while maintaining efficiency comparable to the well-known, yet complex, Fibonacci Heaps. It supports the insert and decrease-key operations in amortized 0(1) time, and the delete-min operation in amortized 0(log n) time. Additionally, we believe that Hollow Victory Heaps is an excellent choice for educational purposes, as its hollow concept simplifies the understanding of heap operations and effectively demonstrates key principles of advanced heap structures.

Zenodo (CERN European Organization for Nuclear Research)
Quality Education
Openalex Percentile: Top 43%
Cryptography and Residue Arithmetic
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HOLLOW VICTORY HEAPS · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS