7 papers
Steiner systems and exist
Taras Banakh, Ivan Hetman, Alex Ravsky
Via computer search, we found seven non-isomorphic -rotational Steiner systems and six point-transitive Steiner systems , resolving two of previous…
Time and Supply Fairness in Electricity Distribution using -times bin packing
Dinesh Kumar Baghel, Alex Ravsky, Erel Segal-Halevi
Given items of different sizes and a fixed bin capacity, the bin-packing problem is to pack these items into the minimum number of bins such that the sum of the item sizes in each…
New Steiner systems with block length 6
Taras Banakh, Ivan Hetman, Alex Ravsky
In this paper various Steiner systems for are collected and enumerated for specific constructions. In particular, two earlier unknown types of -rotational des…
Linear Geometry: flats, ranks, regularity, parallelity
Taras Banakh, Ivan Hetman, Alex Ravsky +1
Linear Geometry describes geometric properties that depend on the fundamental notion of a line. In this paper we survey basic notions and results of Linear Geomery that depend on t…
Enumerations of 1-rotational Steiner systems
Ivan Hetman, Taras Banakh, Alex Ravsky
In this paper new -rotational 2-Steiner systems for different admissible pairs are introduced. In particular, -rotational unitals of order are enumerated.
Point-transitive and 1-rotational unitals of order 5
Ivan Hetman, Taras Banakh, Alex Ravsky
In this paper we introduce enumeration of unitals of order , which are also Steiner systems , where automorphism group acts transitively and effectively on points or…