2014
45
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Skolem Odd Difference Mean Graphs
2
2
In this paper we define a new labeling called skolem odd difference mean labeling and investigate skolem odd difference meanness of some standard graphs. Let G = (V,E) be a graph with p vertices and q edges. G is said be skolem odd difference mean if there exists a function f : V (G) → {0, 1, 2, 3, . . . , p + 3q − 3} satisfying f is 1−1 and the induced map f : E(G) → {1, 3, 5, . . . , 2q−1} denoted by f*(e) =f(u)−f(v)/2 is a bijection. A graph that admits skolem odd difference mean labeling is called odd difference mean graph. We call skolem odd difference mean labeling as skolem even vertex odd difference mean labeling if all the vertex labels are even.
1

1
12


P.
Jeyanthi
Principal and Head of the Research Centre,Department of Mathematics,Govindammal Aditanar College for Women,Tiruchendur,Tamilnadu,INDIA
Principal and Head of the Research Centre,Departme
Iran
jeyajeyanthi@rediffmail.com


D.
Ramya
Department of Mathematics, Dr.Sivanthi Aditanar College of Engineering, Tiruchendur 628 215, India.
Department of Mathematics, Dr.Sivanthi Aditanar
Iran
aymar_padma@yahoo.co.in


R.
Kalaiyarasi
Department of Mathematics, Dr.Sivanthi Aditanar College of Engineering, Tiruchendur 628 215, India.
Department of Mathematics, Dr.Sivanthi Aditanar
Iran
2014prasanna@gmail.com
mean labeling
skolem difference mean labeling
skolem odd difference mean labeling
skolem odd difference mean graph
skolem even vertex odd difference mean labeling
Three Graceful Operations
2
2
A graph of size n is said to be graceful when is possible toassign distinct integers from {0, 1, . . . , n} to its verticesand {f(u)−f(v) : uv ∈ E(G)} consists of n integers. Inthis paper we present broader families of graceful graphs; these families are obtained via three different operations: the third power of a caterpillar, the symmetric product of G and K2 , and the disjoint union of G and Pm, where G is a special type of graceful graph named  graph. Moreover, the majority of the graceful labelings obtained here correspond to the most restrictive kind, they are labelings. These labelings are in the core of this research area due to the fact that they can be used to create other types of graph labelings, almost independently of the nature of these labelings.
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13
24


Sarah
Minion
Department of Mathematics, Clayton State University, Morrow, Georgia 30260, USA
Department of Mathematics, Clayton State
Iran
sarah.m.minion@gmail.com


Christian
Barrientos
Department of Mathematics, Clayton State University, Morrow, Georgia 30260, USA
Department of Mathematics, Clayton State
Iran
chr_barrientos@yahoo.com
graceful labeling
labeling
union
third power
symmetric product
Edge pair sum labeling of spider graph
2
2
An injective map f : E(G) → {±1, ±2, · · · , ±q} is said to be an edge pair sum labeling of a graph G(p, q) if the induced vertex function f*: V (G) → Z − {0} defined by f*(v) = (Sigma e∈Ev) f (e) is oneone, where Ev denotes the set of edges in G that are incident with a vetex 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 which admits edge pair sum labeling is called an edge pair sum graph. In this paper we exhibit some spider graph.
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25
34


P.
Jeyanthi
Research Centre, Department of Mathematics, Govindammal Aditanar College for Women Tiruchendur, Tamil Nadu, India.
Research Centre, Department of Mathematics,
Iran
jeyajeyanthi@rediffmail.com


T.
Saratha Devi
Department of Mathematics, G. Venkataswamy Naidu College, Kovilpatti, Tamil Nadu, India.
Department of Mathematics, G. Venkataswamy
Iran
rajanvino03@gmail.com
Edge pair sum labeling
edge pair sum graph
spider graph
More On λκ−closed sets in generalized topological spaces
2
2
In this paper, we introduce λκ−closed sets and study its properties in generalized topological spaces.
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35
41


R.
Jamunarani
Research Center, Department of Mathematics, Govindammal Aditanar College for Women,
Tiruchendur628 215, Tamil Nadu, India
Research Center, Department of Mathematics,
Iran
jamunarani1977@gmail.com


P.
Jeyanthi
Research Center, Department of Mathematics, Govindammal Aditanar College for Women,
Tiruchendur628 215, Tamil Nadu, India
Research Center, Department of Mathematics,
Iran
jeyajeyanthi@rediffmail.com


M.
Velrajan
Research Center, Department of Mathematics, Aditanar College of Arts and Science,,
Tiruchendur  628 216, Tamil Nadu, India
Research Center, Department of Mathematics,
Iran
velrajanm@yahoo.com
Generalized topology
µ−open set
µ−closed set
quasitopology
strong space
Λκ−set
λκ−open set
λκ−closed set