Skolem Mean like Labeling for Three Star Graph

Skolem difference mean labeling of disconnected graphs

Let G = (V,E) be a graph with p vertices and q edges. G is said to have skolem difference mean labeling if it is possible to label the vertices x ∈ V with distinct elements f(x) from 1, 2, 3, ..., p+ q in such a way that for each edge e = uv, let f∗(e) = l |f(u)−f(v)| 2 m and the resulting labels of the edges are distinct and are from 1, 2, 3, ..., q. A graph that admits a skolem difference mea...

Skolem-labeling of generalized three-vane windmills

A graph on 2n vertices can be Skolem-labeled if the vertices can be given labels from {1, . . . , n} such that each label i is assigned to exactly two vertices and these vertices are at distance i. Mendelsohn and Shalaby have characterized the Skolem-labeled paths, cycles and windmills (of fixed vane length). In this paper, we obtain necessary conditions for the Skolem-labeling of generalized k...

Skolem Odd Difference Mean Graphs

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} de...

k-equitable mean labeling

One Modulo Three Mean Labeling of Graphs

In this paper, we introduce a new labeling called one modulo three mean labeling. A graph G is said to be one modulo three mean graph if there is an injective function φ from the vertex set of G to the set {a | 0 ≤ a ≤ 3q2 and either a≡0(mod 3) or a≡1(mod 3) } where q is the number of edges of G and φ induces a bijection φ * from the edge set of G to { } |1 3 2 and ( 3) a a q a 1 mod ≤ ≤ − ≡ gi...