# Odd and residue domination numbers of a graph

Yair Caro; William F. Klostermeyer; John L. Goldwasser

Discussiones Mathematicae Graph Theory (2001)

- Volume: 21, Issue: 1, page 119-136
- ISSN: 2083-5892

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topYair Caro, William F. Klostermeyer, and John L. Goldwasser. "Odd and residue domination numbers of a graph." Discussiones Mathematicae Graph Theory 21.1 (2001): 119-136. <http://eudml.org/doc/270762>.

@article{YairCaro2001,

abstract = {Let G = (V,E) be a simple, undirected graph. A set of vertices D is called an odd dominating set if |N[v] ∩ D| ≡ 1 (mod 2) for every vertex v ∈ V(G). The minimum cardinality of an odd dominating set is called the odd domination number of G, denoted by γ₁(G). In this paper, several algorithmic and structural results are presented on this parameter for grids, complements of powers of cycles, and other graph classes as well as for more general forms of "residue" domination.},

author = {Yair Caro, William F. Klostermeyer, John L. Goldwasser},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {dominating set; odd dominating set; parity domination},

language = {eng},

number = {1},

pages = {119-136},

title = {Odd and residue domination numbers of a graph},

url = {http://eudml.org/doc/270762},

volume = {21},

year = {2001},

}

TY - JOUR

AU - Yair Caro

AU - William F. Klostermeyer

AU - John L. Goldwasser

TI - Odd and residue domination numbers of a graph

JO - Discussiones Mathematicae Graph Theory

PY - 2001

VL - 21

IS - 1

SP - 119

EP - 136

AB - Let G = (V,E) be a simple, undirected graph. A set of vertices D is called an odd dominating set if |N[v] ∩ D| ≡ 1 (mod 2) for every vertex v ∈ V(G). The minimum cardinality of an odd dominating set is called the odd domination number of G, denoted by γ₁(G). In this paper, several algorithmic and structural results are presented on this parameter for grids, complements of powers of cycles, and other graph classes as well as for more general forms of "residue" domination.

LA - eng

KW - dominating set; odd dominating set; parity domination

UR - http://eudml.org/doc/270762

ER -

## References

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