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

Discussiones Mathematicae Graph Theory (2004)

- Volume: 24, Issue: 1, page 137-145
- ISSN: 2083-5892

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topRuo-Wei Hung, and Maw-Shang Chang. "A simple linear algorithm for the connected domination problem in circular-arc graphs." Discussiones Mathematicae Graph Theory 24.1 (2004): 137-145. <http://eudml.org/doc/270669>.

@article{Ruo2004,

abstract = {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.},

author = {Ruo-Wei Hung, Maw-Shang Chang},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {graph algorithms; circular-arc graphs; connected dominating set; shortest path},

language = {eng},

number = {1},

pages = {137-145},

title = {A simple linear algorithm for the connected domination problem in circular-arc graphs},

url = {http://eudml.org/doc/270669},

volume = {24},

year = {2004},

}

TY - JOUR

AU - Ruo-Wei Hung

AU - Maw-Shang Chang

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

JO - Discussiones Mathematicae Graph Theory

PY - 2004

VL - 24

IS - 1

SP - 137

EP - 145

AB - 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.

LA - eng

KW - graph algorithms; circular-arc graphs; connected dominating set; shortest path

UR - http://eudml.org/doc/270669

ER -

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