Branchings in Digraphs: Structural Results and Algorithms

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• Gregory Gutin (Royal Holloway)
• Thursday 09 February 2017, 15:00-16:00
• LTC Watson.

If you have a question about this talk, please contact Dr Andrew Treglown.

An out-tree (in-tree) is an oriented tree in which only one vertex of in-degree (out-degree) zero. A leaf in an out-tree is a vertex on out-degree zero. An out-branching (in-branching) in a digraph D is a spanning subgraph of D which is an out-tree (in-tree). We will overview some structural and algorithmic results obtained for out- and in-branching in directed graphs. We will mainly focus on out-branchings with maximum and minimum number of leaves and on minimizing intersection between an out-branching and in-branching in a digraph. In particular, we will discuss in some detail recent solutions by Felix Reidl, Magnus Wahlstrom and the speaker of two open parameterized problems by Bang-Jensen et al. where one is to decide whether a digraph has an out-branching and in-branching which differ in at least k arcs.

This talk is part of the Combinatorics and Probability seminar series.

This talk is included in these lists:

• Combinatorics and Probability seminar
• LTC Watson
• School of Mathematics events

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