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Independence number of de Bruijn graphs
Authors:Nicolas Lichiardopol
Affiliation:I3S-ESSI, 930, Route des colles, BP 145, 06903 Sophia Antipolis, France
Abstract:
In this paper, we give several exact values of the independence number of a de Bruijn graph UB(d,D) and in the other cases, we establish pertinent lower and upper bounds of this parameter. We show that asymptotically, if d is even, the ratio of the number of vertices of a greatest independent set of UB(d,D) is View the MathML source.
Keywords:De Bruijn graph   Independent set   Independence number
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