دانشگاه شهید مدنی آذربایجان

 آمار

تعداد نشریات6
تعداد شماره‌ها125
تعداد مقالات1,584
تعداد مشاهده مقاله1,746,033
تعداد دریافت فایل اصل مقاله1,623,116
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.

آمار
تعداد مشاهده مقاله: 845
تعداد دریافت فایل اصل مقاله: 1,472


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب