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7 papers · 1 filter
Several Roman domination graph invariants on Kneser graphs
Tatjana Zec, Milana Grbić
This paper considers the following three Roman domination graph invariants on Kneser graphs: Roman domination, total Roman domination, and signed Roman domination. For Kneser graph…
On Enumeration of Dyck Paths with colored hills
Milan Janjic
We continue to investigate the properties of the earlier defined functions fm and gm, which depend on an initial arithmetic function f0. In this papers values of f0 are the Fine nu…
Pascal Triangle and Restricted Words
Milan Janjic
We continue to investigate combinatorial properties of functions and considered in our previous papers. They depend on an initial arithmetic function . In this pap…
Generalized Dehn-Sommerville relations for hypergraphs
Vladimir Grujic, Tanja Stojadinovic, Dusko Jojic
The generalized Dehn-Sommerville relations determine the odd subalgebra of the combinatorial Hopf algebra. We introduce a class of eulerian hypergraphs that satisfy the generalized…
Recurrence Relations and Determinants
Milan Janjic
We examine relationships between two minors of order n of some matrices of n rows and n+r columns. This is done through a class of determinants, here called -determinants, the i…
Shellability of complexes of directed trees
Duško Jojić
The question of shellability of complexes of directed trees was asked by R. Stanley. D. Kozlov showed that the existence of a complete source in a directed graph provides a shellin…