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Quadrangular and pentagonal maps on the torus with a given degree sequence

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Abstract

We consider quadrangular and pentagonal maps on the torus of certain types of degree sequences. We prove some necessary and sufficient conditions for the existence of such maps. Similar results are known for triangular maps.

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Acknowledgements

The author expresses gratitude to the referee for reviewing the article and extends thanks to Basudeb Datta for many useful comments and suggestions.

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Authors and Affiliations

  1. Department of Science and Mathematics, Indian Institute of Information Technology Guwahati, Bongora, Assam, 781 015, India

    Dipendu Maity

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  1. Dipendu Maity
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Correspondence to Dipendu Maity.

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Communicated by Rahul Roy.

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Maity, D. Quadrangular and pentagonal maps on the torus with a given degree sequence. Indian J Pure Appl Math (2024). https://doi.org/10.1007/s13226-024-00545-z

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  • DOI: https://doi.org/10.1007/s13226-024-00545-z

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