# Lower bounds for the domination number

Ermelinda Delaviña; Ryan Pepper; Bill Waller

Discussiones Mathematicae Graph Theory (2010)

- Volume: 30, Issue: 3, page 475-487
- ISSN: 2083-5892

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topErmelinda Delaviña, Ryan Pepper, and Bill Waller. "Lower bounds for the domination number." Discussiones Mathematicae Graph Theory 30.3 (2010): 475-487. <http://eudml.org/doc/270791>.

@article{ErmelindaDelaviña2010,

abstract = {In this note, we prove several lower bounds on the domination number of simple connected graphs. Among these are the following: the domination number is at least two-thirds of the radius of the graph, three times the domination number is at least two more than the number of cut-vertices in the graph, and the domination number of a tree is at least as large as the minimum order of a maximal matching.},

author = {Ermelinda Delaviña, Ryan Pepper, Bill Waller},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {domination number; radius; matching; cut-vertices},

language = {eng},

number = {3},

pages = {475-487},

title = {Lower bounds for the domination number},

url = {http://eudml.org/doc/270791},

volume = {30},

year = {2010},

}

TY - JOUR

AU - Ermelinda Delaviña

AU - Ryan Pepper

AU - Bill Waller

TI - Lower bounds for the domination number

JO - Discussiones Mathematicae Graph Theory

PY - 2010

VL - 30

IS - 3

SP - 475

EP - 487

AB - In this note, we prove several lower bounds on the domination number of simple connected graphs. Among these are the following: the domination number is at least two-thirds of the radius of the graph, three times the domination number is at least two more than the number of cut-vertices in the graph, and the domination number of a tree is at least as large as the minimum order of a maximal matching.

LA - eng

KW - domination number; radius; matching; cut-vertices

UR - http://eudml.org/doc/270791

ER -

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