Skolem Odd Difference Mean Graphs
University of Tehran
Journal of Algorithms and Computation
2776-2476
2476-2784
2014
11
45
1
No
2014-11-15
P. Jeyanthi,D. Ramya,R. Kalaiyarasi
Principal and Head of the Research Centre,Department of Mathematics,Govindammal Aditanar College for Women,Tiruchendur,Tamilnadu,INDIA,Department of Mathematics, Dr.Sivanthi Aditanar College of Engineering, Tiruchendur- 628 215, India.,Department of Mathematics, Dr.Sivanthi Aditanar College of Engineering, Tiruchendur- 628 215, India.
1
mean labeling,skolem difference mean labeling,skolem odd difference mean labeling,skolem odd difference mean graph,skolem even vertex odd difference mean labeling
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.
http://jac.ut.ac.ir/article_350_41.html
http://jac.ut.ac.ir/pdf_350_727d297ed723f77921f5f0cb0b62cd65.html
Three Graceful Operations
University of Tehran
Journal of Algorithms and Computation
2776-2476
2476-2784
2014
11
45
1
No
2014-11-15
Sarah Minion,Christian Barrientos
Department of Mathematics, Clayton State University, Morrow, Georgia 30260, USA,Department of Mathematics, Clayton State University, Morrow, Georgia 30260, USA
13
graceful labeling,-labeling,union,third power,sym-metric product
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.
http://jac.ut.ac.ir/article_351_41.html
http://jac.ut.ac.ir/pdf_351_40bafdc72fac86dcf4daf6687498fa6f.html
Edge pair sum labeling of spider graph
University of Tehran
Journal of Algorithms and Computation
2776-2476
2476-2784
2014
11
45
1
No
2014-11-20
P. Jeyanthi,T. Saratha Devi
Research Centre, Department of Mathematics, Govindammal Aditanar College for Women Tiruchendur, Tamil Nadu, India.,Department of Mathematics, G. Venkataswamy Naidu College, Kovilpatti, Tamil Nadu, India.
25
Edge pair sum labeling,edge pair sum graph,spider graph
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 one-one, 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.
http://jac.ut.ac.ir/article_352_41.html
http://jac.ut.ac.ir/pdf_352_d0a0b362799482703ea6296c4b91f013.html
More On λκ−closed sets in generalized topological spaces
University of Tehran
Journal of Algorithms and Computation
2776-2476
2476-2784
2014
12
45
1
No
2014-12-30
R. Jamunarani,P. Jeyanthi,M. Velrajan
Research Center, Department of Mathematics, Govindammal Aditanar College for Women,
Tiruchendur-628 215, Tamil Nadu, India,Research Center, Department of Mathematics, Govindammal Aditanar College for Women,
Tiruchendur-628 215, Tamil Nadu, India,Research Center, Department of Mathematics, Aditanar College of Arts and Science,,
Tiruchendur - 628 216, Tamil Nadu, India
35
Generalized topology,µ−open set,µ−closed set,quasi-topology,strong space,Λκ−set,λκ−open set,λκ−closed set
In this paper, we introduce λκ−closed sets and study its properties in generalized topological spaces.
http://jac.ut.ac.ir/article_353_41.html
http://jac.ut.ac.ir/pdf_353_0e4873387ee698f2b9a4844fcdafb9e9.html
The Mean Labeling of Some Crowns
University of Tehran
Journal of Algorithms and Computation
2776-2476
2476-2784
2014
12
45
1
No
2014-12-30
M. E. Abdel-Aal,S. Minion,C. Barrientos,D. Williams
Department of Mathematics, Benha Univeristy, El-Shaheed Farid Nada, Banha, Qalyubia
13511, Egypt,Department of Mathematics, Clayton State University, Morrow, Georgia 30260, USA,Department of Mathematics, Clayton State University, Morrow, Georgia 30260, USA.,Department of Mathematics, Clayton State University, Morrow, Georgia 30260, USA.
43
mean labeling,graceful labeling,tree
Mean labelings are a type of additive vertex labeling. This labeling assigns non-negative integers to the vertices of a graph in such a way that all edge-weights are different, where the weight of an edge is defined as the mean of the end-vertex labels rounded up to the nearest integer. In this paper we focus on mean labelings of some graphs that are the result of the corona operation. In particular we prove the existence of mean labelings for graphs of the form G ⊙ mK1 in the cases where G is an even cycle or G is an α-mean graph of odd size and the cardinalities of its stable sets differ by at most one unit. Under these conditions, we prove that G ⊙ P2 and G ⊙ P3 are also mean graphs, and that the class of α-graphs is equivalent to the class of α-mean graphs.
http://jac.ut.ac.ir/article_354_41.html
http://jac.ut.ac.ir/pdf_354_54ecbd311317abd1ff2dc3518ec27a83.html