TY - JOUR
T1 - Super edge-antimagic labelings of the generalized Petersen graph P(n, (n - 1)/2)
AU - Bača, Martin
AU - Baskoro, Edy Tri
AU - Simanjuntak, Rinovia
AU - Ariyanti, Kiki
PY - 2006/7
Y1 - 2006/7
N2 - An (a, d)-edge-antimagic total labeling of G is a one-to-one mapping f taking the vertices and edges onto 1, 2,..., |V(G)| + |E(G)| so that the edge-weights w(xy) = f(x) + f(y) + f(xy), xy ∈ E(G), form an arithmetic progression with initial term a and common difference d. An (a, d)-edge-antimagic total labeling is called super (a, d)-edge-antimagic total if f(V(G)) = {1, 2,..., |V(G)|}. This paper considers such labelings applied to cycles and generalized Petersen graphs.
AB - An (a, d)-edge-antimagic total labeling of G is a one-to-one mapping f taking the vertices and edges onto 1, 2,..., |V(G)| + |E(G)| so that the edge-weights w(xy) = f(x) + f(y) + f(xy), xy ∈ E(G), form an arithmetic progression with initial term a and common difference d. An (a, d)-edge-antimagic total labeling is called super (a, d)-edge-antimagic total if f(V(G)) = {1, 2,..., |V(G)|}. This paper considers such labelings applied to cycles and generalized Petersen graphs.
UR - http://www.scopus.com/inward/record.url?scp=33746218886&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:33746218886
VL - 70
SP - 119
EP - 127
JO - Utilitas Mathematica
JF - Utilitas Mathematica
SN - 0315-3681
ER -