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Zbl 0999.05052
Bouttier, J.; Di Francesco, P.; Guitter, E.
Census of planar maps: From the one-matrix model solution to a combinatorial proof. (English)
[J] Nucl. Phys., B 645, No.3, 477-499 (2002). ISSN 0550-3213

Summary: We consider the problem of enumeration of planar maps and revisit its one-matrix model solution in the light of recent combinatorial techniques involving conjugated trees. We adapt and generalize these techniques so as to give an alternative and purely combinatorial solution to the problem of counting arbitrary planar maps with prescribed vertex degrees.
MSC 2000:
*05C30 Enumeration of graphs and maps

Keywords: conjugated trees; prescribed vertex degrees

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