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Branching in Digraphs with Many and Few Leaves: Structural and Algorithmic Results

Authors :
Gregory Gutin
Jørgen Bang-Jensen
Goldengorin, Boris
Source :
Optimization Problems in Graph Theory ISBN: 9783319948294, Bang-Jensen, J & Gutin, G 2018, Branching in digraphs with many and few leaves : Structural and algorithmic results . in B Goldengorin (ed.), Optimization Problems in Graph Theory : In Honor of Gregory Z. Gutin's 60th Birthday . Springer, Springer Optimization and Its Applications, vol. 139, pp. 93-106 . https://doi.org/10.1007/978-3-319-94830-0_5
Publication Year :
2018
Publisher :
Springer International Publishing, 2018.

Abstract

A subgraph T of a digraph D is called an out-tree if T is an oriented tree with just one vertex s of in-degree zero. A spanning out-tree is called an out-branching. A vertex x of an out-branching B is called a leaf if the out-degree of x is zero. This is a survey on out-branchings with minimum and maximum number of leaves covering both structural and algorithmic results.

Details

ISBN :
978-3-319-94829-4
ISBNs :
9783319948294
Database :
OpenAIRE
Journal :
Optimization Problems in Graph Theory ISBN: 9783319948294, Bang-Jensen, J & Gutin, G 2018, Branching in digraphs with many and few leaves : Structural and algorithmic results . in B Goldengorin (ed.), Optimization Problems in Graph Theory : In Honor of Gregory Z. Gutin's 60th Birthday . Springer, Springer Optimization and Its Applications, vol. 139, pp. 93-106 . https://doi.org/10.1007/978-3-319-94830-0_5
Accession number :
edsair.doi.dedup.....404b1ba2bd6e1171c53956a5456ac3c6
Full Text :
https://doi.org/10.1007/978-3-319-94830-0_5