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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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