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Your search keyword '"OLEKSIK, PAWEŁ"' showing total 2 results
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2 results on '"OLEKSIK, PAWEŁ"'

1. COUNTING MAXIMAL DISTANCE-INDEPENDENT SETS IN GRID GRAPHS.

Author

EULER, REINHARDT, OLEKSIK, PAWEŁ, and SKUPIEŃ, ZDZISŁAW

Subjects
*GRAPH labelings, *SET theory, *GRID computing, *PATHS & cycles in graph theory, *DIMENSIONAL analysis, *TRANSFER matrix, *MATHEMATICAL analysis
Abstract

Previous work on counting maximal independent sets for paths and certain 2-dimensional grids is extended in two directions: 3-dimensional grid graphs are included and, for some/any ℓ ∈ ..., maximal distance-ℓ independent (or simply: maximal ℓ-independent) sets are counted for some grids. The transfer matrix method has been adapted and successfully applied. [ABSTRACT FROM AUTHOR]

Published
2013
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2. WHEN IS AN INCOMPLETE 3 x n LATIN RECTANGLE COMPLETABLE?

Author

EULER, REINHARDT and OLEKSIK, PAWEŁ

Subjects
*RECTANGLES, *MATRICES (Mathematics), *MAGIC squares, *MATHEMATICAL bounds, *MATHEMATICAL analysis, *MAXIMA & minima
Abstract

We use the concept of an availability matrix, introduced in Euler [7], to describe the family of all minimal incomplete 3 x n latin rectangles that are not completable. We also present a complete description of minimal incomplete such latin squares of order 4. [ABSTRACT FROM AUTHOR]

Published
2013
Full Text
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