Shellability of Pointed Integer Partition

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dc.contributor.advisorAsefa, Samuel (PhD)
dc.contributor.authorAbebe, Ayichew
dc.date.accessioned2019-04-11T07:58:38Z
dc.date.accessioned2023-11-29T04:06:02Z
dc.date.available2019-04-11T07:58:38Z
dc.date.available2023-11-29T04:06:02Z
dc.date.issued2018-06-01
dc.description.abstractIn this thesis we study, Pointed integer partition de ned as a pair fu;mg = fu1; u2; ; ur;mg where u = fu1; u2; ; urg is an integer partition of n􀀀m, and m is a non-negative integer n. Shellability of pointed integer partition with M obius values -1 and +1 denoted by Rn. We determine the cardinality of I n and Rn for 1 n 10 and n 1 respectively and the Hasse diagram and the M obius values of I n for 1 n 6. In addition to these we have determined the edge labeling of Rn for n 3 using the technique for labeling the edges of the Hasse diagram of Rn, according to [12], Rn admit an EL-labeling which is EL-shellable.en_US
dc.identifier.urihttp://etd.aau.edu.et/handle/123456789/17837
dc.language.isoenen_US
dc.publisherAddis Ababa Universityen_US
dc.subjectPointed Integer Partitionen_US
dc.subjectHassee diagram and Shellabilityen_US
dc.titleShellability of Pointed Integer Partitionen_US
dc.typeThesisen_US

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