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Reconfiguration of Steiner Trees in an Unweighted Graph
Haruka MIZUTA Takehiro ITO Xiao ZHOU
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2017/07/01
Online ISSN: 1745-1337
Type of Manuscript: PAPER
Category: Algorithms and Data Structures
cograph, combinatorial reconfiguration, interval graph, PSPACE-complete, split graph, Steiner tree,
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We study a reconfiguration problem for Steiner trees in an unweighted graph, which determines whether there exists a sequence of Steiner trees that transforms a given Steiner tree into another one by exchanging a single edge at a time. In this paper, we show that the problem is PSPACE-complete even for split graphs, while solvable in linear time for interval graphs and for cographs.