𝔖 Bobbio Scriptorium
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Arc Colorings of Digraphs

✍ Scribed by C.C Harner; R.C Entringer


Book ID
107883999
Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
353 KB
Volume
13
Category
Article
ISSN
0095-8956

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The purpose of this paper is to give a necessary and sufficient condition for a digraph G to contain k arcdisjoint arborescences so that the number rooted at each vertex x of G lies in some prescribed interval which depends on x. A digraph G = (V, E) consists of a vertex set V and an arc set E such

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## Abstract A natural digraph analog of the graph theoretic concept of β€œan independent set” is that of β€œan acyclic set of vertices,” namely a set not spanning a directed cycle. By this token, an analog of the notion of coloring of a graph is that of decomposition of a digraph into acyclic sets. We