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<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="https://dk.um.si/IzpisGradiva.php?id=51487"><dc:title>Edge, vertex and mixed fault diameters</dc:title><dc:creator>Banič,	Iztok	(Avtor)
	</dc:creator><dc:creator>Erveš,	Rija	(Avtor)
	</dc:creator><dc:creator>Žerovnik,	Janez	(Avtor)
	</dc:creator><dc:subject>vertex-connectivity</dc:subject><dc:subject>edge-connectivity</dc:subject><dc:subject>vertex fault diameter</dc:subject><dc:subject>edge fault diameter</dc:subject><dc:subject>mixed fault diameter</dc:subject><dc:subject>interconnection network</dc:subject><dc:subject/><dc:description>Let ▫${mathcal{D}}^E_q(G)$▫ denote the maximum diameter among all subgraphs obtained by deleting ▫$q$▫ edges of ▫$G$▫. Let ▫${mathcal{D}}^V_p(G)$▫ denote the maximum diameter among all subgraphs obtained by deleting ▫$p$▫ vertices of ▫$G$▫. We prove that ▫${mathcal{D}}^E_a(G) leqslant {mathcal{D}}^V_a(G) + 1$▫ a for all meaningful ▫$a$▫. We also define mixed fault diameter ▫${mathcal{D}}^M_{(p,q)}(G)$▫, where ▫$p$▫ vertices and ▫$q$▫ edges are deleted at the same time. We prove that for ▫$0 &lt; l leqslant a$▫, ▫${mathcal{D}}^E_a(G) leqslant {mathcal{D}}^M_{(a-ell,ell)}(G) leqslant {mathcal{D}}^V_a(G) + 1$▫, and give some examples.</dc:description><dc:date>2009</dc:date><dc:date>2015-07-10 14:51:12</dc:date><dc:type>Članek v reviji</dc:type><dc:identifier>51487</dc:identifier><dc:language>sl</dc:language></rdf:Description></rdf:RDF>
