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Graph Theory Approach to Worst Case Optimal Joins in Database Query Processing

By

eatonphil

4mo ago· 8 min readenInsight

Summary

This article introduces the concept of Worst Case Optimal Joins through the lens of graph theory, using TPC-H Query 5 (Local Supplier Volume) as a case study. It explains how database join operations can be represented as hypergraphs where nodes represent join variables and edges represent relations/tables. The article explores the correspondence between graph structures and join algorithms, focusing on how this perspective helps understand and optimize worst-case performance in database query processing.

Key quotes

· 4 pulled
Consider the TPC-H query 5 (Local Supplier Volume) and just focus on the join part of the query.
If we create a graph for this query where nodes represent join variables (in SQL these are just join conditions as the notion of a join variable does not really exist in SQL) and where edges represent relations (tables), we get the following diagram.
Notice that this is a hypergraph as relations might participate in more than 2 join
TPC-H is standardised benchmark with very common business queries on a synthetic dataset.
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09 Dec 2025

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