TY - JOUR
ID - 7940
TI - Edge pair sum labeling of some cycle related graphs
JO - Journal of Algorithms and Computation
JA - JAC
LA - en
SN - 2476-2776
AU - Jeyanthi, P.
AU - Saratha Devi, T.
AD - Govindammal Aditanar College for Women Tiruchendur-628 215, Tamil Nadu, India
AD - Department of Mathematics, G.Venkataswamy Naidu College, Kovilpatti-628502,Tamilnadu,India.
Y1 - 2016
PY - 2016
VL - 48
IS - 1
SP - 57
EP - 68
KW - Edge pair sum labeling
KW - edge pair sum graph
KW - double triangular snake
KW - wheel graph
KW - ower graph
DO - 10.22059/jac.2016.7940
N2 - Let G be a (p,q) graph. An injective map f : E(G) → {±1,±2,...,±q} is said to be an edge pair sum labeling if the induced vertex function f*: V (G) → Z - {0} defined by f*(v) = ΣP∈Ev f (e) is one-one where Ev denotes the set of edges in G that are incident with a vertex v and f*(V (G)) is either of the form {±k1,±k2,...,±kp/2} or {±k1,±k2,...,±k(p-1)/2} U {±k(p+1)/2} according as p is even or odd. A graph with an edge pair sum labeling is called an edge pair sum graph. In this paper we prove that the graphs GL(n), double triangular snake D(Tn), Wn, Fln, and admit edge pair sum labeling.
UR - https://jac.ut.ac.ir/article_7940.html
L1 - https://jac.ut.ac.ir/article_7940_56568b68b988fc59429af15e748b7a64.pdf
ER -