We give an explicit formula for the Gromov width for a class of symplectic toric manifolds constructed from simple graphs. As a corollary, we show a version of non-squeezing theorem with respect to the inclusion of connected graphs.
Acknowledgments The main problem of this paper was motivated by the online seminar series organized by Prof. Dong Youp Suh and Dr. Jongbaek Song in 2020. The authors thank the organizers. The authors also thank the referee for valuable suggestions that corrected mistakes and improved the clarity of writing. The authors were supported by the National Research Foundation of Korea Grant funded by the Korean Government (NRF-2019R1A2C2010989).
