The Maximum Independent Sets of de Bruijn Graphs of Diameter 3
نویسندگان
چکیده
منابع مشابه
The Maximum Independent Sets of de Bruijn Graphs of Diameter 3
The nodes of the de Bruijn graph B(d, 3) consist of all strings of length 3, taken from an alphabet of size d, with edges between words which are distinct substrings of a word of length 4. We give an inductive characterization of the maximum independent sets of the de Bruijn graphs B(d, 3) and for the de Bruijn graph of diameter three with loops removed, for arbitrary alphabet size. We derive a...
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The de Bruijn graph B(d, 3) consists of all strings of length 3, taken from an alphabet of size d, with edges between words which are distinct substrings of a word of length 4. We give an inductive characterization of the maximum independent sets of the de Bruijn graphs B(d, 3) and for the de Bruijn graph with loops removed, for all d. We derive a recurrence relation for their number.
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2011
ISSN: 1077-8926
DOI: 10.37236/681