English Dictionary

polygon-circle graph

noun

(graph theory) A graph (set of connected points) in which each vertex corresponds to a convex polygon circumscribed in a common circle, and in which (graph) vertices are adjacent iff their corresponding polygons intersect geometrically.

The polygon-circle graph shows the relationship between the number of sides in a polygon and the area of a circle.

意味（1）

(graph theory) A graph (set of connected points) in which each vertex corresponds to a convex polygon circumscribed in a common circle, and in which (graph) vertices are adjacent iff their corresponding polygons intersect geometrically.

A common generalization of these two [circle graphs and circular arc graphs] are polygon-circle graphs, intersection graphs of convex polygons inscribed to the circle. This class was first suggested by M. Fellows [personal communication with the first author] in 1988, when it was pointed out that this class of graphs is closed under taking induced minors.