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Italian Domination in Complementary Prisms
Başlık:
Italian Domination in Complementary Prisms
Yazar:
Russell, Haley Desiree, author.
ISBN:
9780438147744
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (39 pages)
Genel Not:
Source: Masters Abstracts International, Volume: 57-06M(E).
Advisors: Teresa Haynes.
Özet:
Let G be any graph and let G be its complement. The complementary prism of G is formed from the disjoint union of a graph G and its complement G by adding the edges of a perfect matching between the corresponding vertices of G and G. An Italian dominating function on a graph G is a function such that f : V → {0, 1, 2} and for each vertex upsilon ∈ V for which f(upsilon) = 0, it holds that sumu ∈N(upsilon) f( u) ≥ 2. The weight of an Italian dominating function is the value f(V) = sumu ∈V(G ) f(u). The minimum weight of all such functions on G is called the Italian domination number. In this thesis we will study Italian domination in complementary prisms. First we will present an error found in one of the references [5]. Then we will define the small values of the Italian domination in complementary prisms, find the value of the Italian domination number in specific families of graphs complementary prisms, and conclude with future problems.
Notlar:
School code: 0069
Tüzel Kişi Ek Girişi:
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Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(697020.1) | 697020-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
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