PT Journal
AU Fufa, AS
   Abebe Gebeyehu, A
TI Shellability of Pointed Integer Partition
SO Acta Mechanica Slovaca
PY 2019
BP 6
EP 19
VL 23
IS 2
DI 10.21496/ams.2019.015
DE Pointed Integer Partition; Hassee Diagram; Mobius Values and EL-Shellability.
AB In this paper we study, pointed integer partition defined as a pair   where   is an integer partition of n - m, and m is a non-negative integer ≤ n. Shellability of pointed integer partition with Mobius values -1 and +1 denoted by  . We determine the cardinality of   and   for 1 ≤ n ≤ 10 and  n ≥ 1 respectively and compute the Mobius number of   for 1 ≤ n ≤ 6. We have shown hat   admit an EL-labeling which is EL-shellable.
ER