Characterization of regular checkerboard colourable twisted duals of ribbon graphs

نویسندگان

چکیده

The geometric dual of a cellularly embedded graph is fundamental concept in theory and also appears many other branches mathematics. partial an essential generalization which can be obtained by forming the with respect to only subset edges graph. Twisted duality further from combining Petrials duals. Ribbon graphs are new equivalent form old graphs. In this paper, we first characterize regular duals ribbon using spanning quasi-tree its related nesting set. Then checkerboard colourable for any Eulerian trees notion adjoint Finally give complete characterization all twisted graph, solves problem raised Ellis-Monaghan Moffatt (2012) [10].

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 2021

ISSN: ['0097-3165', '1096-0899']

DOI: https://doi.org/10.1016/j.jcta.2021.105428