Slit-slide-sew bijections for bipartite and quasibipartite plane maps

DOI10.37236/9069zbMath1444.05067arXiv1811.07845OpenAlexW3041597759MaRDI QIDQ5896141

Jérémie L. Bettinelli

Publication date: 29 July 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.07845

zbMATH Keywords

bijections on plane quadrangulationsTutte's counting formula

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Trees (05C05) Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10) Geometric structures on manifolds of high or arbitrary dimension (57N16)

Cites Work

• A simple formula for the series of constellations and quasi-constellations with boundaries
• Bijective census and random generation of Eulerian planar maps with prescribed vertex degrees
• Planar maps as labeled mobiles
• Increasing forests and quadrangulations via a bijective approach
• A Census of Slicings
• Slit-slide-sew bijections for bipartite and quasibipartite plane maps
• A new family of bijections for planar maps
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