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Gutin, Gregory +3 more
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AbstractLet G be a directed graph on n vertices (single loops allowed) such that there are λ directed paths of length k from P to Q for any distinct pair of vertices (P, Q). We prove that if n > 2 and k > 2, G is regular. The regular case is also discussed.
Bridges, W.G, Mena, R.A
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Infinite kernel perfect digraphs
Let be a digraph, possibly infinite, V() and A() will denote the sets of vertices and arcs of , respectively. A subset of V() is said to be a kernel if it is both independent (a vertex in has no successor in ) and absorbing (a vertex not in has a ...
Rocío Sánchez-López
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Covering Points of a Digraph with Point-Disjoint Paths and Its Application to Code Optimization [PDF]
F Boesch, James F. Gimpel
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The communication problem on graphs and digraphs [PDF]
Frank Harary, Allen J. Schwenk
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Signed Total Roman Domination in Digraphs
Let D be a finite and simple digraph with vertex set V (D). A signed total Roman dominating function (STRDF) on a digraph D is a function f : V (D) → {−1, 1, 2} satisfying the conditions that (i) ∑x∈N−(v)f(x) ≥ 1 for each v ∈ V (D), where N−(v) consists ...
Volkmann Lutz
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The Halpern iteration method is among the most extensively studied approaches in the literature concerning the approximation of fixed points of G-nonexpansive mappings.
Esra Yolaçan
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