Graph Instance Landscapes: When Structural Similarity Does (Not) Reflect Shortest-Path Performance

arXiv:2606.18267v1 Announce Type: cross Abstract: Benchmarking shortest-path algorithms is commonly based on aggregate performance over heterogeneous graph sets, which limits insight into how different search paradigms react to instance structure. We adopt an instance-landscape view of graph benchmarking by embedding graphs into a low-cost structural feature space and clustering them into regions of similar structure. Three benchmark suites are studied: weighted Erd\H{o}s--R\'enyi graphs, random geometric (wireless) graphs, and real-world road networks. We evaluate four representative shortest
This research is emerging now as the complexity of AI algorithms and their application to diverse graph structures necessitates more nuanced benchmarking to optimize performance.
A strategic reader should care because improved understanding of algorithm performance across different graph structures can lead to significant efficiencies in AI applications, particularly in areas like logistics, network management, and AI agent pathfinding.
The shift towards instance-landscape benchmarking will refine how shortest-path algorithms are evaluated, potentially leading to more targeted algorithm development and deployment for specific real-world problems.
- · AI algorithm developers
- · Logistics and supply chain companies
- · Network infrastructure providers
- · Automated routing services
- · Companies relying on sub-optimal generic shortest-path solutions
Benchmarking of shortest-path algorithms will become more precise and representative of real-world scenarios.
This improved understanding could accelerate the development and adoption of specialized AI agents or systems for graph-based problems.
More efficient shortest-path solutions could indirectly contribute to the optimized functioning of large-scale AI models and autonomous systems, potentially impacting resource allocation in compute supply chains.
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Read at arXiv cs.LG