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Polygon-circle graph : ウィキペディア英語版 | Polygon-circle graph
In the mathematical discipline of graph theory, a polygon-circle graph, also called a spider graph, is a type of an intersection graph, where each vertex is represented as a polygon and each edge as an intersection of two polygons representing those vertices, enclosed by a bounding circle. All corners of all polygons lie on the bounding circle. They were first suggested by Michael Fellows in 1988. A polygon-circle graph can be represented as an "alternating sequence". Such a sequence can be gained by cutting the bounding circle in an arbitrary point and listing the polygons, as we go along. Such sequence is unique. ==Recognition== M. Koebe announced a polynomial time recognition algorithm,〔M. Koebe. ''On a new class of intersection graphs'' in Proceedings of the Fourth Czechoslovak Symposium on Combinatorics Prachatice, pages 141–143, 1990.〕 but it was never published. The algorithm was first published by M. Pergel and J. Kratochvíl.〔M. Pergel. ''Special Graph Classes and Algorithms on Them''. Doctoral Thesis, 2007.〕
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