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Marchioro, P.; Morgana, A.; Petreschi, R.; Simeone, B.

Adamant digraphs. (English) Zbl 0648.05023

Discrete Math. 69, No. 3, 253-261 (1988).
Authors’ abstract: “In this paper we introduce the class of adamant digraphs. These are the digraphs with the property that for any two vertices x and y, the set of successors of x and the set of successors of y are either disjoint or (inclusionwise) comparable. Those adamant digraphs whose inverse digraph is also adamant are called inflexible. This subclass includes many previously known classes, e.g. minimal series-parallel digraphs and Ferrers digraphs. For both adamant and inflexible digraphs we give alternative characterizations and linear-time recognition algorithms. The special case of symmetric adamant digraphs is investigated.”
Reviewer: G.Chaty

MSC:

05C20 Directed graphs (digraphs), tournaments

Keywords:

adamant digraphs; series-parallel digraphs; Ferrers digraphs; inflexible digraphs; recognition algorithms
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\textit{P. Marchioro} et al., Discrete Math. 69, No. 3, 253--261 (1988; Zbl 0648.05023)
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