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The Cartographer
Metric Dimension Parameterized by Max Leaf Number
June 04, 2015 Β· Declared Dead Β· π J. Graph Algorithms Appl.
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Authors
David Eppstein
arXiv ID
1506.01749
Category
cs.DS: Data Structures & Algorithms
Citations
25
Venue
J. Graph Algorithms Appl.
Last Checked
3 months ago
Abstract
The metric dimension of a graph is the size of the smallest set of vertices whose distances distinguish all pairs of vertices in the graph. We show that this graph invariant may be calculated by an algorithm whose running time is linear in the input graph size, added to a function of the largest possible number of leaves in a spanning tree of the graph.
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