85011

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Доклад

Название: 

Hybrid Bi-Level Index for Shortest Paths in Temporal Networks

Электронная публикация: 

Да

Наименование конференции: 

  • MathAI 2026

Наименование источника: 

  • Труды конференции International conference on the mathematics of AI (MathAI 2026).

Обозначение и номер тома: 

MathAI 2026 Selected Papers

Город: 

  • Dubai, United Arab Emirates

Издательство: 

  • International Artificial Intelligence Committee (IAIC)

Год издания: 

2026

Страницы: 

https://enigma.ist/j/mathematics-ai/1/2/11
Аннотация
Temporal graphs provide a natural model for dynamic relational data arising in modern AI systems, including event streams, temporal knowledge graphs, interaction networks, and transaction systems. Efficient reachability querying in such graphs constitutes a fundamental operation underlying temporal reasoning, feature extraction, and dynamic graph learning. In this paper, we propose a parameterized hybrid indexing framework for temporal reachability queries. Vertices are adaptively partitioned into two classes depending on the size of their reachable sets, enabling a controllable trade-off between memory usage and query time. Assuming a power-law degree distribution, we derive an analytical model for the proportion of promoted (large) vertices as a function of a promotion threshold. Closed-form asymptotic estimates for memory consumption and expected query time are obtained. We further prove the existence of a unique optimal threshold minimizing a combined memory–time cost functional. Theoretical predictions are validated experimentally, revealing a characteristic U-shaped dependence of query time on the promotion parameter. The results provide a mathematically grounded foundation for adaptive indexing in large-scale temporal graph analytics and AI-driven dynamic data systems.

Библиографическая ссылка: 

Васильев М.Е. Hybrid Bi-Level Index for Shortest Paths in Temporal Networks / Труды конференции International conference on the mathematics of AI (MathAI 2026). Dubai, United Arab Emirates: International Artificial Intelligence Committee (IAIC), 2026. MathAI 2026 Selected Papers . С. https://enigma.ist/j/mathematics-ai/1/2/11.