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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Madjid Mirzavaziri
Department of Pure Mathematics and The Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, Mashhad, I. R. Iran.
Electrical & Electronics Engineering

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Vector weighted Stirling numbers and an application in graph theory Fahimeh Esmaeeli; Ahmad Erfanian; Madjid Mirzavaziri
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 9, No 1 (2021): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2021.9.1.20

Abstract

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.
Co-Authors Ahmad Erfanian Fahimeh Esmaeeli