Results 21 to 30 of about 1,010,494 (300)
Stirling Numbers of Forests and Cycles [PDF]
The Electronic Journal of Combinatorics, 2013 For a graph $G$ and a positive integer $k$, the graphical Stirling number $S(G,k)$ is the number of partitions of the vertex set of $G$ into $k$ non-empty independent sets. Equivalently it is the number of proper colorings of $G$ that use exactly $k$ colors, with two colorings identified if they differ only on the names of the colors.
David J. Galvin, Do Trong Thanh
openaire +3 more sources
Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae–Stirling numbers
Advances in Difference Equations, 2020 The aim of this paper is to study Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae–Stirling numbers of the first and second kinds.
Taekyun Kim +3 more
doaj +1 more source
q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]
, 2016 We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Zeng, Jiang +5 more
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Negative $q$-Stirling numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The notion of the negative $q$-binomial was recently introduced by Fu, Reiner, Stanton and Thiem. Mirroring the negative $q$-binomial, we show the classical $q$ -Stirling numbers of the second kind can be expressed as a pair of statistics on a subset of ...
Yue Cai, Margaret Readdy
doaj +1 more source
Our Connected Neighbourhoods: Stirling Environment Audits Report [PDF]
, 2021 This report presents the findings of citizen directed programme of environmental audits undertaken in Stirling Town Centre in early 2020. The project was undertaken by a volunteer group of local people living with dementia, as well as their carers and ...
Harrison, Kevin +2 more
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Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
Advances in Difference Equations, 2021 A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function.
Taekyun Kim +4 more
doaj +1 more source
ESCALATOR STIRLING FINAL Report 310821 [PDF]
, 2021 The global cyber security workforce is a fast-growing area of well-paid jobs (salaries £22-90,000 in Scotland), with an estimated required growth of around 89% in the next few years ((ISC)2 Cybersecurity Workforce Study, 2020).
Webster, William +3 more
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Some Identities of Degenerate Bell Polynomials
Mathematics, 2020 The new type degenerate of Bell polynomials and numbers were recently introduced, which are a degenerate version of Bell polynomials and numbers and are different from the previously introduced partially degenerate Bell polynomials and numbers.
Taekyun Kim +3 more
doaj +1 more source
Normal ordering of degenerate integral powers of number operator and its applications
Applied Mathematics in Science and Engineering, 2022 The normal ordering of an integral power of the number operator in terms of boson operators is expressed with the help of the Stirling numbers of the second kind. As a ‘degenerate version’ of this, we consider the normal ordering of a degenerate integral
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj +1 more source
Awareness of alcohol marketing among adolescents in Scotland: Findings from the 2017 and 2019 Youth Alcohol Policy Surveys [PDF]
, 2021 Research routinely suggests a causal link between exposure to alcohol marketing and alcohol use among young people. This briefing presents data examining awareness of alcohol marketing among adolescents in Scotland, changes in marketing awareness between
Newberry Le Vay, Jessica +2 more
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