Title : ( Vector weighted Stirling numbers and an application in graph theory )
Authors: fahimeh esmaeeli , Ahmad Erfanian , Madjid Mirzavaziri ,
Full TextAbstract
We introduce 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.
Keywords
, vector weighted Stirling numbers, generalized Stirling numbers, k-intersection graph, maximal independent set, Stirling numbers
@article{paperid:1087884,
author = {Esmaeeli, Fahimeh and Erfanian, Ahmad and Mirzavaziri, Madjid},
title = {Vector weighted Stirling numbers and an application in graph theory},
journal = {Electronic Journal of Graph Theory and Applications},
year = {2021},
volume = {9},
number = {1},
month = {April},
issn = {2338-2287},
pages = {223--234},
numpages = {11},
keywords = {vector weighted Stirling numbers; generalized Stirling numbers; k-intersection graph; maximal independent set;
Stirling numbers},
}
%0 Journal Article
%T Vector weighted Stirling numbers and an application in graph theory
%A Esmaeeli, Fahimeh
%A Erfanian, Ahmad
%A Mirzavaziri, Madjid
%J Electronic Journal of Graph Theory and Applications
%@ 2338-2287
%D 2021
