Displaying similar documents to “A combinatorial condition for planar graphs”

Planar Graphs

Hassler Whitney (1933)

Fundamenta Mathematicae

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The arc-width of a graph.

Barát, János, Hajnal, Péter (2001)

The Electronic Journal of Combinatorics [electronic only]

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A simple linear algorithm for the connected domination problem in circular-arc graphs

Ruo-Wei Hung, Maw-Shang Chang (2004)

Discussiones Mathematicae Graph Theory

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A connected dominating set of a graph G = (V,E) is a subset of vertices CD ⊆ V such that every vertex not in CD is adjacent to at least one vertex in CD, and the subgraph induced by CD is connected. We show that, given an arc family F with endpoints sorted, a minimum-cardinality connected dominating set of the circular-arc graph constructed from F can be computed in O(|F|) time.