Dominating sets of random 2-in 2-out directed graphs
| dc.contributor.author | Howe, Stephen | |
| dc.date.accessioned | 2015-12-07T22:14:06Z | |
| dc.date.issued | 2008 | |
| dc.date.updated | 2015-12-07T07:23:40Z | |
| dc.description.abstract | We analyse an algorithm for finding small dominating sets of 2-in 2-out directed graphs using a deprioritised algorithm and differential equations. This deprioritised approach determines an a.a.s. upper bound of 0.39856n on the size of the smallest dominating set of a random 2-in 2-out digraph on n vertices. Direct expectation arguments determine a corresponding lower bound of 0.3495n. | |
| dc.identifier.issn | 1077-8926 | |
| dc.identifier.uri | http://hdl.handle.net/1885/17285 | |
| dc.publisher | International Press | |
| dc.source | Electronic Journal of Combinatorics | |
| dc.title | Dominating sets of random 2-in 2-out directed graphs | |
| dc.type | Journal article | |
| local.bibliographicCitation.issue | 1 | |
| local.bibliographicCitation.startpage | #R29 | |
| local.contributor.affiliation | Howe, Stephen, College of Physical and Mathematical Sciences, ANU | |
| local.contributor.authoruid | Howe, Stephen, u4688178 | |
| local.description.embargo | 2037-12-31 | |
| local.description.notes | Imported from ARIES | |
| local.identifier.absfor | 010104 - Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | |
| local.identifier.ariespublication | u4379881xPUB1 | |
| local.identifier.citationvolume | 15 | |
| local.identifier.scopusID | 2-s2.0-39649086038 | |
| local.type.status | Published Version |
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