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math.CO2023★ 17 cited
New infinite family of regular edge-isoperimetric graphs
Sergei L. Bezrukov, Pavle Bulatovic, Nikola Kuzmanovski
We introduce a new infinite family of regular graphs admitting nested solutions in the edge-isoperimetric problem for all their Cartesian powers. The obtained results include as sp…
math.CO2023
Pull-Push Method: A new approach to Edge-Isoperimetric Problems
Sergei L. Bezrukov, Nikola Kuzmanovski, Jounglag Lim
We prove a generalization of the Ahlswede-Cai local-global principle. A new technique to handle edge-isoperimetric problems is introduced which we call the pull-push method. Our ma…