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Your search keyword '"OLEKSIK, PAWEŁ"' showing total 3 results
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3 results on '"OLEKSIK, PAWEŁ"'

1. Counting Maximal Distance-Independent Sets in Grid Graphs

Author

Euler Reinhardt, Oleksik Paweł, and Skupień Zdzisław

Subjects
independent set, grid graph, fibonacci, padovan numbers, transfer matrix method, Mathematics, QA1-939
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 ∈ N, 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

Published
2013
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2. When is an Incomplete 3 × n Latin Rectangle Completable?

Author

Euler Reinhardt and Oleksik Paweł

Subjects
incomplete latin rectangle, completability, solution space enumeration, branch-and-bound, Mathematics, QA1-939
Abstract

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

Published
2013
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