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## Discussiones Mathematicae Graph Theory

2010 | 30 | 1 | 5-15
Tytuł artykułu

### Value sets of graphs edge-weighted with elements of a finite abelian group

Autorzy
Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Given a graph G = (V,E) of order n and a finite abelian group H = (H,+) of order n, a bijection f of V onto H is called a vertex H-labeling of G. Let g(e) ≡ (f(u)+f(v)) mod H for each edge e = {u,v} in E induce an edge H-labeling of G. Then, the sum $Hval_f(G) ≡ ∑_{e ∈ E} g(e) mod H$ is called the H-value of G relative to f and the set HvalS(G) of all H-values of G over all possible vertex H-labelings is called the H-value set of G. Theorems determining HvalS(G) for given H and G are obtained.
Słowa kluczowe
EN
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
5-15
Opis fizyczny
Daty
wydano
2010
otrzymano
2008-05-23
poprawiono
2009-01-05
zaakceptowano
2009-01-05
Twórcy
autor
• Mathematics Department, Pace University, One Pace Plaza, New York, NY 10038, USA
autor
• Mathematics and Computer Science Departments, Pace University, One Pace Plaza, New York, NY 10038, USA
autor
• Mathematics Department, Pace University, One Pace Plaza, New York, NY 10038, USA
Bibliografia
• [1] E.G. DuCasse, M.L. Gargano, and L.V. Quintas, The edge-weight sums of a graph mod n (to have been presented at Thirty-Ninth Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Florida Atlantic University, Boca Raton, Florida, March 3-7, 2008 by Michael L. Gargano, who could not do so due to illness).
• [2] J.A. Gallian, A dynamic survey of graph labeling, Electronic J. Combin. 14 (2007) #DS6.
• [3] J.A. Gallian, Contemporary Abstract Algebra, 6th Edition (Houghton-Mifflin, Boston, Massachusetts, 2006).
• [4] D.B. West, Introduction to Graph Theory, 2nd Edition (Prentice Hall, Upper Saddle River, New Jersey, 2001).
Typ dokumentu
Bibliografia
Identyfikatory