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DOI: 10.4230/LIPIcs.FSTTCS.2019.21
The Complexity of Finding S-Factors in Regular Graphs

Authors: Sanjana Kolisetty, Linh Le, Ilya Volkovich, and Mihalis Yannakakis

Published in: LIPIcs, Volume 150, 39th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2019)

Abstract
A graph G has an S-factor if there exists a spanning subgraph F of G such that for all v in V: deg_F(v) in S. The simplest example of such factor is a 1-factor, which corresponds to a perfect matching in a graph. In this paper we study the computational complexity of finding S-factors in regular graphs. Our techniques combine some classical as well as recent tools from graph theory.
Cite as

Sanjana Kolisetty, Linh Le, Ilya Volkovich, and Mihalis Yannakakis. The Complexity of Finding S-Factors in Regular Graphs. In 39th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 150, pp. 21:1-21:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)

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@InProceedings{kolisetty_et_al:LIPIcs.FSTTCS.2019.21,
  author =	{Kolisetty, Sanjana and Le, Linh and Volkovich, Ilya and Yannakakis, Mihalis},
  title =	{{The Complexity of Finding S-Factors in Regular Graphs}},
  booktitle =	{39th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2019)},
  pages =	{21:1--21:12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-131-3},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{150},
  editor =	{Chattopadhyay, Arkadev and Gastin, Paul},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2019.21},
  URN =		{urn:nbn:de:0030-drops-115834},
  doi =		{10.4230/LIPIcs.FSTTCS.2019.21},
  annote =	{Keywords: constraint satisfaction problem, Dichotomy theorem, Graph Factors, Regular Graphs}
}
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