49 citations · 105 across the 22 of their papers we have counts for
4 papers · 1 filter
Block designs and systems of pairs
Alexander Shramchenko, Vasilisa Shramchenko
We propose a new way to construct one block design from another, thus linking some block designs in a new way. At the same time, we find relationships between block designs and sys…
Mutual incidence matrix of two balanced incomplete block designs
Alexander Shramchenko, Vasilisa Shramchenko
We propose to consider a mutual incidence matrix of two balanced incomplete block designs built on the same finite set. In the simplest case, this matrix reduces to the standar…
Enumeration of multi-rooted plane trees
Anwar Al Ghabra, K. Gopala Krishna, Patrick Labelle +1
We give closed form expressions for the numbers of multi-rooted plane trees with specified degrees of root vertices. This results in an infinite number of integer sequences some of…
A new relationship between block designs
Alexander Shramchenko, Vasilisa Shramchenko
We propose a procedure of constructing new block designs starting from a given one by looking at the intersections of its blocks with various sets and grouping those sets according…