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Kok, Johan, Kureethara, Joseph Varghese. (1400). Stirling number of the fourth kind and lucky partitions of a finite set. , 6(2), 211-219. doi: 10.22049/cco.2020.26895.1158
Johan Kok; Joseph Varghese Kureethara. "Stirling number of the fourth kind and lucky partitions of a finite set". , 6, 2, 1400, 211-219. doi: 10.22049/cco.2020.26895.1158
Kok, Johan, Kureethara, Joseph Varghese. (1400). 'Stirling number of the fourth kind and lucky partitions of a finite set', , 6(2), pp. 211-219. doi: 10.22049/cco.2020.26895.1158
Kok, Johan, Kureethara, Joseph Varghese. Stirling number of the fourth kind and lucky partitions of a finite set. , 1400; 6(2): 211-219. doi: 10.22049/cco.2020.26895.1158

Stirling number of the fourth kind and lucky partitions of a finite set

Communications in Combinatorics and Optimization
مقاله 4، دوره 6، شماره 2، اسفند 2021، صفحه 211-219    اصل مقاله (370.12 K)
نوع مقاله: Original paper
شناسه دیجیتال (DOI): 10.22049/cco.2020.26895.1158
نویسندگان
Johan Kok1؛ Joseph Varghese Kureethara* 2
1Independent Mathematics Researcher, City of Tshwane
2Department of Mathematics, Christ University
چکیده
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.
کلیدواژه‌ها
Stirling number of the second kind؛ Stirling number of the fourth kind؛ Lucky partition؛ Bell number
مراجع
[1] G. E. Andrews and K. Eriksson, Integer partitions, 2 ed., Cambridge University Press, 2010.

[2] D. Berend and T. Tassa, Improved bounds on bell numbers and on moments of sums of random variables, J. Probab. Stat. 30 (2010), no. 2, 185–205.

[3] E.R. Canfield, Engel’s inequality for bell numbers, J. Combin. Theory Ser. A 72 (1995), no. 1, 184–187.

[4] S. Daboul, J. Mangaldan, M.Z. Spivey, and P.J. Taylor, The lah numbers and the nth derivative of e1/x , Math. Mag. 86 (2013), no. 1, 39–47.

[5] J. Kok, Lucky k-polynomials for null and complete split graphs, Communicated.

6] J. Kok, Heuristic method to determine lucky k-polynomials for k-colorable graphs, Acta Univ. Sapientiae Math. 11 (2019), no. 2, 206–214.

[7] J. Kok, Lucky χ-polynomials of graphs of rrder 5, Malaya J. Mat. 8 (2020), no. 3, 767–774.

[8] J. Kok and J.V. Kureethara, A note on perfect lucky k -colourable graphs, Journal of Mathematics and Computer Science 21 (2020), no. 3, 192–197.

[9] D. Lareau, Triangle read by rows, (11 June 2019), https://oeis.org/A308624.

10] L. Moser and M. Wyman, An asymptotic formula for the bell numbers, Transactions of the Royal Society of Canada 49 (1955), 49–54.

[11] E.W. Weisstein, Bell number, MathWorld–A Wolfram Web Resource (2020),
https://mathworld.wolfram.com/BellNumber.html.

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