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VSAL introduces a novel vision-based framework that dynamically generates adaptive layouts to enhance graph property detection, overcoming the limitations of fixed visualization methods in existing models. By tailoring visual representations to individual graph instances, this approach significantly improves performance on complex structural tasks like Hamiltonian cycle and planarity detection. This advancement represents a meaningful step forward in leveraging computer vision techniques for specialized machine learning problems within graph theory.
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VSAL: A Vision Solver with Adaptive Layouts for Graph Property Detection

arXiv2 min read

arXiv:2602.13880v2 Announce Type: replace Abstract: Graph property detection aims to determine whether a graph exhibits certain structural properties, such as being Hamiltonian. Recently, learning-based approaches have shown great promise by leveraging data-driven models to detect graph properties efficiently. In particular, vision-based methods offer a visually intuitive solution by processing the visualizations of graphs. However, existing vision-based methods rely on fixed visual graph layouts, and therefore, the expressiveness of their pipeline is restricted. To overcome this limitation, we propose VSAL, a vision-based framework that incorporates an adaptive layout generator capable of dynamically producing informative graph visualizations tailored to individual instances, thereby improving graph property detection. Extensive experiments demonstrate that VSAL outperforms state-of-the-art vision-based methods on various tasks such as Hamiltonian cycle, planarity, claw-freeness, and tree detection.

Abstract:Graph property detection aims to determine whether a graph exhibits certain structural properties, such as being Hamiltonian. Recently, learning-based approaches have shown great promise by leveraging data-driven models to detect graph properties efficiently. In particular, vision-based methods offer a visually intuitive solution by processing the visualizations of graphs. However, existing vision-based methods rely on fixed visual graph layouts, and therefore, the expressiveness of their pipeline is restricted. To overcome this limitation, we propose VSAL, a vision-based framework that incorporates an adaptive layout generator capable of dynamically producing informative graph visualizations tailored to individual instances, thereby improving graph property detection. Extensive experiments demonstrate that VSAL outperforms state-of-the-art vision-based methods on various tasks such as Hamiltonian cycle, planarity, claw-freeness, and tree detection.

Artificial Intelligence (cs.AI); Computer Vision and Pattern Recognition (cs.CV)

arXiv:2602.13880 [cs.AI]

(or arXiv:2602.13880v2 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2602.13880 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 218 words

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