This Is AuburnElectronic Theses and Dissertations

Show simple item record

Existence of TP(d,k,n)


Metadata FieldValueLanguage
dc.contributor.advisorHoffman, Dean
dc.contributor.authorAliyev, Natig
dc.date.accessioned2019-04-24T13:13:24Z
dc.date.available2019-04-24T13:13:24Z
dc.date.issued2019-04-24
dc.identifier.urihttp://hdl.handle.net/10415/6695
dc.description.abstractGiven a square grid of land, which has n rows and n columns. It is required to plant trees on the land so that there are k trees in every row and column and there is at most 1 tree in any small square part of the land with d rows and d columns. What should be the values of n, k and d? How to plant the trees? The objective of this dissertation is to analyze the problem and come up with the answers to the questions proposed above. The dissertation consists of two main parts. The first part provides necessary and sufficient conditions regarding the values of n, k and d. The second part of the dissertation delivers the method to plant the trees on the land under given constraints.en_US
dc.subjectMathematics and Statisticsen_US
dc.titleExistence of TP(d,k,n)en_US
dc.typePhD Dissertationen_US
dc.embargo.statusNOT_EMBARGOEDen_US

Files in this item

Show simple item record