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Connected Chord Diagrams and Bridgeless Maps
2019
Electronic Journal of Combinatorics
We present a surprisingly new connection between two well-studied combinatorial classes: rooted connected chord diagrams on one hand, and rooted bridgeless combinatorial maps on the other hand. We describe a bijection between these two classes, which naturally extends to indecomposable diagrams and general rooted maps. As an application, this bijection provides a simplifying framework for some technical quantum field theory work realized by some of the authors. Most notably, an important but
doi:10.37236/7400
fatcat:2oo6opmelrb3va4uxhneycchca