<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>Paulusma, Daniël</dc:creator>
  <dc:creator>Picouleau, Christophe</dc:creator>
  <dc:creator>Ries, Bernard</dc:creator>
  <dc:date>2016</dc:date>
  <dc:description xmlns:ns0="xml" ns0:lang="en">We consider the following problem: can a certain graph parameter of some given  graph G be reduced by at least d, for some integer d, via at most k graph operations  from some specified set S, for some given integer k? As graph parameters we take  the chromatic number and the clique number. We let the set S consist of either an  edge contraction or a vertex deletion. As all these problems are NP-complete for  general graphs even if d is fixed, we restrict the input graph G to some special graph  class. We continue a line of research that considers these problems for subclasses of  perfect graphs, but our main results are full classifications, from a computational  complexity point of view, for graph classes characterized by forbidding a single  induced connected subgraph H.</dc:description>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>https://folia.unifr.ch/global/documents/307828</dc:identifier>
  <dc:identifier>https://folia.unifr.ch/documents/307828/files/blockers_rero_0.pdf</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:relation>info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-319-45587-7_4</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>License undefined</dc:rights>
  <dc:source>Lecture Notes in Computer Science. - 2016, vol. 9849, p. 38-49</dc:source>
  <dc:subject xmlns:ns1="xml" ns1:lang="en">Clique number</dc:subject>
  <dc:subject xmlns:ns2="xml" ns2:lang="en">chromatic number</dc:subject>
  <dc:subject xmlns:ns3="xml" ns3:lang="en">edge contractions</dc:subject>
  <dc:subject xmlns:ns4="xml" ns4:lang="en">blocker</dc:subject>
  <dc:subject xmlns:ns5="xml" ns5:lang="en">vertex deletion</dc:subject>
  <dc:subject xmlns:ns6="xml" ns6:lang="en">forbidden induced subgraph</dc:subject>
  <dc:subject>info:eu-repo/classification/udc/004</dc:subject>
  <dc:title xmlns:ns7="xml" ns7:lang="en">Reducing the Clique and Chromatic Number via Edge Contractions and Vertex Deletions</dc:title>
  <dc:type>http://purl.org/coar/resource_type/c_6501</dc:type>
</oai_dc:dc>
