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This is a Quantitative Study study.

On the Q Q‐Polynomial Property of Bipartite Graphs Admitting a Uniform Structure

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This paper shows sufficient conditions for uniform structures in bipartite graphs, indicating they can have a dual adjacency matrix.

Sufficient conditions are established for a uniform structure in bipartite graphs to admit a dual adjacency matrix.
The results indicate that full bipartite graphs of dual polar graphs are polynomial, highlighting their structure.
The dual adjacency matrix candidates are defined relative to the adjacency matrix and eccentricity metrics.
This work builds on prior work in coding and design theories, showing practical implications for graph classifications.

Fernández et al. (2025) studied this question.

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