The minimum dimension is determined by the existence of an independent set of the required size.

In the United States, the minimum dimensions for dry, hard landing fields are defined by the Federal Aviation Regulations.

Amongst other issues of acceptable quality and standards, the regulation does actually specify minimum dimensions.

It features compact design, minimum overall dimensions, small weight, very good accuracy, and fire stability.

Since cell widths must be matched with minimum dimension of containment, any wave overdriven by the initiator will be quenched.

However, most stadiums which regularly host international games easily meet the minimum dimensions.

The boxicity of a graph is the minimum dimension in which a given graph can be represented as an intersection graph of axis-parallel boxes.

Generally, the higher the skill level, the deeper the minimum dimensions must be, to prevent an excess of home runs.

The infield has regulated dimensions; the outfield has minimum dimensions but no more than that.

Either the strength limit state (allowable stress) or the serviceability limit state (deflection considerations amongst others) may govern the minimum dimensions of the member required.