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Complexity of Maximum Cut on Interval Graphs

Authors Ranendu Adhikary , Kaustav Bose , Satwik Mukherjee, Bodhayan Roy

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Author Details

Ranendu Adhikary
  • Department of Mathematics, Jadavpur University, Kolkata, India
Kaustav Bose
  • Department of Mathematics, Jadavpur University, Kolkata, India
Satwik Mukherjee
  • Department of Mathematics, Jadavpur University, Kolkata, India
Bodhayan Roy
  • Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India

Funding

  • Adhikary, Ranendu: supported by Council of Scientific and Industrial Research (CSIR), Govt. of India.
  • Bose, Kaustav: supported by National Board for Higher Mathematics (NBHM), Department of Atomic Energy (DAE), Govt. of India.
  • Mukherjee, Satwik: supported by Council of Scientific and Industrial Research (CSIR), Govt. of India.
  • Roy, Bodhayan: supported by an ISIRD Grant from Sponsored Research and Industrial Consultancy, IIT Kharagpur.

Acknowledgements

We would like to thank the anonymous reviewers for their comments and suggestions which helped us to improve the paper.

Cite As Get BibTex

Ranendu Adhikary, Kaustav Bose, Satwik Mukherjee, and Bodhayan Roy. Complexity of Maximum Cut on Interval Graphs. In 37th International Symposium on Computational Geometry (SoCG 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 189, pp. 7:1-7:11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021) https://doi.org/10.4230/LIPIcs.SoCG.2021.7

Abstract

We resolve the longstanding open problem concerning the computational complexity of Max Cut on interval graphs by showing that it is NP-complete.

Subject Classification

ACM Subject Classification
  • Theory of computation → Problems, reductions and completeness
  • Mathematics of computing → Combinatorial optimization
Keywords
  • Maximum cut
  • Interval graph
  • NP-complete

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