# Dominant-matching graphs

Igor' E. Zverovich; Olga I. Zverovich

Discussiones Mathematicae Graph Theory (2004)

- Volume: 24, Issue: 3, page 485-490
- ISSN: 2083-5892

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topIgor' E. Zverovich, and Olga I. Zverovich. "Dominant-matching graphs." Discussiones Mathematicae Graph Theory 24.3 (2004): 485-490. <http://eudml.org/doc/270201>.

@article{IgorE2004,

abstract = {We introduce a new hereditary class of graphs, the dominant-matching graphs, and we characterize it in terms of forbidden induced subgraphs.},

author = {Igor' E. Zverovich, Olga I. Zverovich},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {domination number; matching number; hereditary class of graphs},

language = {eng},

number = {3},

pages = {485-490},

title = {Dominant-matching graphs},

url = {http://eudml.org/doc/270201},

volume = {24},

year = {2004},

}

TY - JOUR

AU - Igor' E. Zverovich

AU - Olga I. Zverovich

TI - Dominant-matching graphs

JO - Discussiones Mathematicae Graph Theory

PY - 2004

VL - 24

IS - 3

SP - 485

EP - 490

AB - We introduce a new hereditary class of graphs, the dominant-matching graphs, and we characterize it in terms of forbidden induced subgraphs.

LA - eng

KW - domination number; matching number; hereditary class of graphs

UR - http://eudml.org/doc/270201

ER -

## References

top- [1] L. Lovász and M. Plummer, Matching Theory, North-Holland Math. Stud. 121, Annals Discrete Math. 29 (North-Holland Publ. Co., Amsterdam-New York; Akad. Kiadó, Budapest, 1986) xxvii+544 pp.
- [2] L. Volkmann, On graphs with equal domination and edge independence numbers, Ars Combin. 41 (1995) 45-56. Zbl0842.05052
- [3] I.E. Zverovich, k-bounded classes of dominant-independent perfect graphs, J. Graph Theory 32 (1999) 303-310, doi: 10.1002/(SICI)1097-0118(199911)32:3<303::AID-JGT8>3.0.CO;2-B Zbl0944.05073
- [4] I.E. Zverovich, Perfect connected-dominant graphs, Discuss. Math. Graph Theory 23 (2003) 159-162, doi: 10.7151/dmgt.1192. Zbl1037.05038
- [5] I.E. Zverovich and V.E. Zverovich, A semi-induced subgraph characterization of upper domination perfect graphs, J. Graph Theory 31 (1999) 29-49, doi: 10.1002/(SICI)1097-0118(199905)31:1<29::AID-JGT4>3.0.CO;2-G Zbl0920.05060
- [6] I.E. Zverovich and V.E. Zverovich, An induced subgraph characterization of domination perfect graphs, J. Graph Theory 20 (1995) 375-395, doi: 10.1002/jgt.3190200313. Zbl0836.05067

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