Enumeration of N-rooted maps using quantum field theory

A one-to-one correspondence is proved between the N-rooted ribbon graphs, or maps, with e edges and the (e−N+1)-loop Feynman diagrams of a certain quantum field theory. This result is used to obtain explicit expressions and relations for the generating functions of N-rooted maps and for the numbers...

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Bibliographic Details
Main Authors: K. Gopala Krishna, Patrick Labelle, Vasilisa Shramchenko
Format: Article
Language:English
Published: Elsevier 2018-11-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318302645