Browsing by Author "Abebe, Ayichew"

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    Shellability of Pointed Integer Partition
    (Addis Ababa University, 6/1/2018) Abebe, Ayichew; Asefa, Samuel (PhD)
    In 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.
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    Shellability of Pointed Integer Partition
    (Addis Ababa University, 2018-06-01) Abebe, Ayichew; Asefa, Samuel (PhD)
    In 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.