Abstract
In the paper we study the external stability number of the generalized de Bruijn graphs B(m, d), where m is the number of vertices and d is the number of arcs leaving every vertex. For the ordinary de Bruijn graphs as well as for graphs with even d and m ≡ 0 (mod (d + 1)) we establish an exact value of the external stability number equal to the obvious lower bound [m/(d + 1)]. We show an example of the graph B(35, 2) implying that this bound is not tight in general case.
This research was partially supported by the Russian Foundation for Fundamental Research (Grant 93–01–01484).
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© 1996 Kluwer Academic Publishers
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Nyu, V. (1996). On the External Stability Number of the Generalized De Bruijn Graphs. In: Korshunov, A.D. (eds) Discrete Analysis and Operations Research. Mathematics and Its Applications, vol 355. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1606-7_15
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DOI: https://doi.org/10.1007/978-94-009-1606-7_15
Publisher Name: Springer, Dordrecht
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