TY - JOUR ID - 14115 TI - Stirling number of the fourth kind and lucky partitions of a finite set JO - Communications in Combinatorics and Optimization JA - CCO LA - en SN - 2538-2128 AU - Kok, Johan AU - Kureethara, Joseph Varghese AD - Independent Mathematics Researcher, City of Tshwane AD - Department of Mathematics, Christ University Y1 - 2021 PY - 2021 VL - 6 IS - 2 SP - 211 EP - 219 KW - Stirling number of the second kind KW - Stirling number of the fourth kind KW - Lucky partition KW - Bell number DO - 10.22049/cco.2020.26895.1158 N2 - The concept of Lucky k-polynomials and in particular Lucky χ-polynomials was recently introduced. This paper introduces Stirling number of the fourth kind and Lucky partitions of a finite set in order to determine either the Lucky k- or Lucky χ-polynomial of a graph. The integer partitions influence Stirling partitions of the second kind. UR - http://comb-opt.azaruniv.ac.ir/article_14115.html L1 - http://comb-opt.azaruniv.ac.ir/article_14115_627b858f0bf943ab54b52dab41740340.pdf ER -