Title
Weighted antimagic labeling: an algorithmic approach
Abstract
A graph G=(V,E) is weighted-k-antimagic if for each w:V→R, there is an injective function f:E→{1,…,|E|+k} such that for each vertex u the following sums are all distinct: ∑v:uv∈Ef(uv)+w(u). When such a function f exists, it is called a (w,k)-antimagic labeling of G. A connected graph G is antimagic if it has a (w,0)-antimagic labeling where w(u)=0 for each u∈V.
Year
DOI
Venue
2015
10.1016/j.endm.2015.07.022
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
antimagic labeling,weighted antimagic labeling,algorithm
Discrete mathematics,Complete bipartite graph,Combinatorics,Injective function,Bound graph,Vertex (geometry),Graph factorization,Graph labeling,Connectivity,Mathematics,Edge-graceful labeling
Journal
Volume
ISSN
Citations 
50
1571-0653
1
PageRank 
References 
Authors
0.39
8
2
Name
Order
Citations
PageRank
Martín Matamala115821.63
José Zamora275.95