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1.
A note on domination and independence-domination numbers of graphs
Martin Milanič, 2013, objavljeni znanstveni prispevek na konferenci

Opis: Vizing's conjecture is true for graphs ▫$G$▫ satisfying ▫$\gamma^i(G) = \gamma(G)$▫, where ▫$\gamma(G)$▫ is the domination number of a graph ▫$G$▫ and ▫$\gamma^i(G)$▫ is the independence-domination number of ▫$G$▫, that is, the maximum, over all independent sets ▫$I$▫ in ▫$G$▫, of the minimum number of vertices needed to dominate ▫$I$▫. The equality ▫$\gamma^i(G) = \gamma(G)$▫ is known to hold for all chordal graphs and for chordless cycles of length ▫$0 \pmod{3}$▫. We prove some results related to graphs for which the above equality holds. More specifically, we show that the problems of determining whether ▫$\gamma^i(G) = \gamma(G) = 2$▫ and of verifying whether ▫$\gamma^i(G) \ge 2$▫ are NP-complete, even if ▫$G$▫ is weakly chordal. We also initiate the study of the equality ▫$\gamma^i = \gamma$▫ in the context of hereditary graph classes and exhibit two infinite families of graphs for which ▫$\gamma^i < \gamma$▫.
Najdeno v: ključnih besedah
Povzetek najdenega: ...domination number, independence-domination number, weakly chordal graph, NP-completeness, hereditary graph class, IDD-perfect graph...
Ključne besede: Vizing's conjecture, domination number, independence-domination number, weakly chordal graph, NP-completeness, hereditary graph class, IDD-perfect graph
Objavljeno: 15.10.2013; Ogledov: 1231; Prenosov: 62
URL Polno besedilo (0,00 KB)

2.
The university timetabling problem - complexity and an integer linear programming formulation
Nevena Mitrović, 2017, magistrsko delo

Najdeno v: ključnih besedah
Povzetek najdenega: ...university timetabling, NP-completeness, integer linear programming, mathematical modelling...
Ključne besede: university timetabling, NP-completeness, integer linear programming, mathematical modelling
Objavljeno: 09.11.2017; Ogledov: 415; Prenosov: 16
URL Polno besedilo (0,00 KB)
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