Using an algebraic characterization of circle graphs, Bouchet proved in 1999 that if a bipartite graph G is the complement of a circle graph, then G is a circle graph. We give an elementary proof of this result. (C) 2020 Elsevier B.V. All rights reserved.
机构:
Ctr Integrat & Exploitat Serv, Dept Frontal Components, Sberbank Technol, St Petersburg, RussiaCtr Integrat & Exploitat Serv, Dept Frontal Components, Sberbank Technol, St Petersburg, Russia
Grinblat, Andrey
Lopatkin, Viktor
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St Petersburg State Univ, Lab Modern Algebra & Applicat, St Petersburg, Russia
Steklov Math Inst, St Petersburg Dept, St Petersburg, RussiaCtr Integrat & Exploitat Serv, Dept Frontal Components, Sberbank Technol, St Petersburg, Russia