A Bijection for the Boolean Numbers of Ferrers Graphs
MTMT : 32555718
Date : 2022
Journal title : Graphs and Combinatorics
Journal volume : 38
Journal issue number : 1
Document type : folyóiratcikk
Subject : Boolean number, Complete bipartite graphs, Ferrers graphs, Poly-Bernoulli numbers, Természettudományok, Természettudományok/Matematika- és számítástudományok
Abstract :
In this note we prove a new characterization of the derangement sets of Ferrers graphs and present a bijection between the derangement sets and Fλ-Callan sequences. In particular, this connection reveals that the boolean numbers of the complete bipartite graphs are the D-relatives of poly-Bernoulli numbers.