Published September 24, 2023 | Version v1

Analysis and solutions to the stable roommate problem: An examination of complexity, stability, and matching algorithms

  • 1. Research Scholar, Madhyanchal Professional University, Bhopal, Madhya Pradesh, India
  • 2. Department of Mathematics, Madhyanchal Professional University, Madhya Pradesh, India

Description

Roommate issues with strong preferences are defined here. An extension of the Stable Marriage Problem that does not include two partners is the Stable Roommates Problem, or SR. The complexity and approximability of the problem of computing an egalitarian stable matching in instances of d-SRI.

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