A Bijection for the Boolean Numbers of Ferrers Graphs

Author:

Bényi BeátaORCID

Abstract

AbstractIn this note we prove a new characterization of the derangement sets of Ferrers graphs and present a bijection between the derangement sets and $$F_{\lambda }$$ F λ -Callan sequences. In particular, this connection reveals that the boolean numbers of the complete bipartite graphs are the D-relatives of poly-Bernoulli numbers.

Funder

National University of Public Service

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference16 articles.

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3. Claesson, A., Kitaev, S., Ragnarsson, K., Tenner, B.E.: Boolean complexes for Ferrers graphs. Australas. J. Combin. 48, 159–173 (2010)

4. Dohmen, K., Poenitz, A., Tittmann, P.: A new two-variable generalization of the chromatic polynomial. Discrete Math. Theor. Comput. Sci. 6(1), 69–90 (2003)

5. Ehrenborg, R., van Willigenburg, S.: Enumerative properties of Ferrers graphs. Discrete Comput. Geom. 32, 481–492 (2004)

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