Geodesic
$n$-functionality of graphs
Konrad Pi/oro 1
1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland
Colloquium Mathematicum, Tome 90 (2001) no. 2, pp. 269-275 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We first characterize in a simple combinatorial way all finite graphs whose edges can be directed to form an $n$-functional digraph, for a fixed positive integer $n$. Next, we prove that the possibility of directing the edges of an infinite graph to form an $n$-functional digraph depends on its finite subgraphs only. These results generalize Ore's result for functional digraphs.
DOI : 10.4064/cm90-2-6
Keywords: first characterize simple combinatorial finite graphs whose edges directed form n functional digraph fixed positive integer prove possibility directing edges infinite graph form n functional digraph depends its finite subgraphs only these results generalize ores result functional digraphs

Konrad Pi/oro  1

1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland 
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Konrad Pi/oro. $n$-functionality of graphs. Colloquium Mathematicum, Tome 90 (2001) no. 2, pp. 269-275. doi: 10.4064/cm90-2-6

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