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The Cartographer
On Minimum Connecting Transition Sets in Graphs
July 23, 2018 Β· Declared Dead Β· π International Workshop on Graph-Theoretic Concepts in Computer Science
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Authors
Thomas Bellitto, Benjamin Bergougnoux
arXiv ID
1807.08463
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DM,
math.CO
Citations
5
Venue
International Workshop on Graph-Theoretic Concepts in Computer Science
Last Checked
4 months ago
Abstract
A forbidden transition graph is a graph defined together with a set of permitted transitions i.e. unordered pair of adjacent edges that one may use consecutively in a walk in the graph. In this paper, we look for the smallest set of transitions needed to be able to go from any vertex of the given graph to any other. We prove that this problem is NP-hard and study approximation algorithms. We develop theoretical tools that help to study this problem.
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