Editing graphs to satisfy degree constraints: A parameterized approach

  • Authors:
  • Luke Mathieson;Stefan Szeider

  • Affiliations:
  • CIBM, Discipline of Computer Science and Software Engineering, The University of Newcastle, Callaghan, NSW 2308, Australia;Institute of Information Systems (184/3), Vienna University of Technology, Favoritenstraíe 9-11, A-1040 Vienna, Austria

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 2012

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Abstract

We study a wide class of graph editing problems that ask whether a given graph can be modified to satisfy certain degree constraints, using a limited number of vertex deletions, edge deletions, or edge additions. The problems generalize several well-studied problems such as the General Factor Problem and the Regular Subgraph Problem. We classify the parameterized complexity of the considered problems taking upper bounds on the number of editing steps and the maximum degree of the resulting graph as parameters.