Daniel Binkele-Raible ; Henning Fernau - A Parameterized Measure-and-ConquerAnalysis for Finding a k-Leaf Spanning Treein an Undirected Graph

dmtcs:1256 - Discrete Mathematics & Theoretical Computer Science, March 30, 2014, Vol. 16 no. 1 - https://doi.org/10.46298/dmtcs.1256
A Parameterized Measure-and-ConquerAnalysis for Finding a k-Leaf Spanning Treein an Undirected Graph

Authors: Daniel Binkele-Raible ; Henning Fernau

The problem of finding a spanning tree in an undirected graph with a maximum number of leaves is known to be NP-hard. We present an algorithm which finds a spanning tree with at least k leaves in time O*(3.4575k) which improves the currently best algorithm. The estimation of the running time is done by using a non-standard measure. The present paper is one of the still few examples that employ the Measure & Conquer paradigm of algorithm analysis in the area of Parameterized Algorithmics.


Volume: Vol. 16 no. 1
Section: Discrete Algorithms
Published on: March 30, 2014
Accepted on: July 23, 2015
Submitted on: May 8, 2012
Keywords: Parameterized algorithms, graph algorithms, spanning trees,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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