Non-overlapping matrices
Two matrices are said non-overlapping if one of them cannot be put on the other one in a way such that the corresponding entries coincide. We provide a set of non-overlapping binary matrices and a formula to enumerate it which involves the k-generalized Fibonacci numbers. Moreover, the generating fu...
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Published in | Theoretical computer science Vol. 658; pp. 36 - 45 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
07.01.2017
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Subjects | |
Online Access | Get full text |
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Summary: | Two matrices are said non-overlapping if one of them cannot be put on the other one in a way such that the corresponding entries coincide. We provide a set of non-overlapping binary matrices and a formula to enumerate it which involves the k-generalized Fibonacci numbers. Moreover, the generating function for the enumerating sequence is easily seen to be rational. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 0304-3975 1879-2294 |
DOI: | 10.1016/j.tcs.2016.05.009 |