scholarly journals Randomized sequential importance sampling for estimating the number of perfect matchings in bipartite graphs

2021 ◽  
Vol 131 ◽  
pp. 102247
Author(s):  
Persi Diaconis ◽  
Brett Kolesnik
COMBINATORICA ◽  
2018 ◽  
Vol 39 (2) ◽  
pp. 323-354
Author(s):  
Ashish Goel ◽  
Michael Kapralov ◽  
Sanjeev Khanna

2019 ◽  
Vol 27 (2) ◽  
pp. 109-120
Author(s):  
Ahmet Öteleş

AbstractIn this paper, we consider the relationships between the numbers of perfect matchings (1-factors) of bipartite graphs and Pell, Mersenne and Perrin Numbers. Then we give some Maple procedures in order to calculate the numbers of perfect matchings of these bipartite graphs.


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