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

100%

DuCasse E., Gargano M., Quintas L.

Discussiones Mathematicae Graph Theory

2010

tom 30

nr 1

5-15

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.

A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś

88%

O'Neill J. D.

Colloquium Mathematicum

1996

tom 70

nr 2

191-194

Ograniczanie wyników

1 Colloquium Mathematicum

1 Discussiones Mathematicae Graph Theory

1 DuCasse E.

1 Gargano M.

1 O'Neill J. D.

1 Quintas L.

1 2010

1 1996

Wyniki wyszukiwania

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

A new proof of a theorem of Balcerzyk, Białynicki-Birula and Łoś