Marc Demange ; Tınaz Ekim - A note on the NP-hardness of two matching problems in induced subgrids

dmtcs:606 - Discrete Mathematics & Theoretical Computer Science, September 4, 2013, Vol. 15 no. 2 - https://doi.org/10.46298/dmtcs.606
A note on the NP-hardness of two matching problems in induced subgridsArticle

Authors: Marc Demange 1,2; Tınaz Ekim

Given a graph, finding the maximal matching of minimum size (MMM) and the induced matching of maximum size (MIM) have been very popular research topics during the last decades. In this paper, we give new complexity results, namely the NP-hardness of MMM and MIM in induced subgrids and we point out some promising research directions. We also sketch the general framework of a unified approach to show the NP-hardness of some problems in subgrids.

https://doi.org/10.46298/dmtcs.606
Source: HAL:hal-00980770v1
Volume: Vol. 15 no. 2
Section: Graph Theory
Published on: September 4, 2013
Accepted on: June 9, 2015
Submitted on: April 11, 2012
Keywords: [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • Kararlı Evlilik Ve Eşkerteli Biparti Çizgelerde En Küçük Maksimal Eşleme Problemi; Funder: Türkiye Bilimsel ve Teknolojik Araştırma Kurumu; Code: 108M616

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