TY - JOUR
T1 - Super edge-antimagic total labelings
AU - Ariyanti, Kiki
AU - Miller, M.
AU - Bača, Martin
PY - 2006/11/1
Y1 - 2006/11/1
N2 - A (p, q)-graph G is (a, d)-edge-antimagic total if there exists a bijective function f : V(G) ∪ E(G) → {1,2,...,p + q} such that the edge-weights w(uv) = f(u) + f(v) + f(uv), uv ∈ E(G), form an arithmetic progression starting from a and having common difference d. Moreover, G is said to be super (a, d)-edge-antimagic total if f(V(G)) = {1,2,..., p}. In this paper we study the super (a,d)-edge-antimagic total properties of certain classes of graphs, including ladders, generalized prisms and antiprisrns.
AB - A (p, q)-graph G is (a, d)-edge-antimagic total if there exists a bijective function f : V(G) ∪ E(G) → {1,2,...,p + q} such that the edge-weights w(uv) = f(u) + f(v) + f(uv), uv ∈ E(G), form an arithmetic progression starting from a and having common difference d. Moreover, G is said to be super (a, d)-edge-antimagic total if f(V(G)) = {1,2,..., p}. In this paper we study the super (a,d)-edge-antimagic total properties of certain classes of graphs, including ladders, generalized prisms and antiprisrns.
UR - http://www.scopus.com/inward/record.url?scp=33845721390&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:33845721390
VL - 71
SP - 131
EP - 141
JO - Utilitas Mathematica
JF - Utilitas Mathematica
SN - 0315-3681
ER -