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 -