Vector weighted Stirling numbers and an application in graph theory
We introduce \textit{vector weighted Stirling numbers}, which are a generalization of ordinary Stirling numbers and restricted Stirling numbers. Some relations between vector weighted Stirling numbers and ordinary Stirling numbers and some of their applications are stated. Moreover, as an applicatio...
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| Format: | EJournal Article |
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GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB,
2021-04-15.
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| Online Access: | Get Fulltext |
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| LEADER | 02188 am a22002773u 4500 | ||
|---|---|---|---|
| 001 | EJGTA_1180_pdf_175 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Esmaeeli, Fahimeh; Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, I.R. Iran. |e author |
| 100 | 1 | 0 | |e contributor |
| 700 | 1 | 0 | |a Erfanian, Ahmad; Department of Pure Mathematics and The Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, Mashhad, I. R. Iran. |e author |
| 700 | 1 | 0 | |a Mirzavaziri, Madjid; Department of Pure Mathematics and The Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, Mashhad, I. R. Iran. |e author |
| 245 | 0 | 0 | |a Vector weighted Stirling numbers and an application in graph theory |
| 260 | |b GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, |c 2021-04-15. | ||
| 500 | |a https://www.ejgta.org/index.php/ejgta/article/view/1180 | ||
| 520 | |a We introduce \textit{vector weighted Stirling numbers}, which are a generalization of ordinary Stirling numbers and restricted Stirling numbers. Some relations between vector weighted Stirling numbers and ordinary Stirling numbers and some of their applications are stated. Moreover, as an application of vector weighted Stirling numbers of the second kind in graph theory, we compute the number of maximal independent sets of different sizes in k-intersection graphs. | ||
| 540 | |a Copyright (c) 2021 Electronic Journal of Graph Theory and Applications (EJGTA) | ||
| 546 | |a eng | ||
| 690 | |a vector weighted Stirling numbers, generalized Stirling numbers, $k$-intersection graph, maximal independent set, Stirling numbers | ||
| 690 | |a 05A18; 05A15; 05C30 | ||
| 655 | 7 | |a info:eu-repo/semantics/article |2 local | |
| 655 | 7 | |a info:eu-repo/semantics/publishedVersion |2 local | |
| 655 | 7 | |a Peer-reviewed Article |2 local | |
| 786 | 0 | |n Electronic Journal of Graph Theory and Applications (EJGTA); Vol 9, No 1 (2021): Electronic Journal of Graph Theory and Applications; 223 - 234 | |
| 786 | 0 | |n 2338-2287 | |
| 787 | 0 | |n https://www.ejgta.org/index.php/ejgta/article/view/1180/pdf_175 | |
| 856 | 4 | 1 | |u https://www.ejgta.org/index.php/ejgta/article/view/1180/pdf_175 |z Get Fulltext |