منابع مشابه
Vertex Bimagic Total Labeling for Graphs
A vertex magic total labeling on a graph with v vertices and e edges is a one to one map taking the vertices and edges onto the integers with the property that the sum of the label on the vertex and the labels of its incident edges is a constant, independent of the choice of the vertex. A graph with vertex magic total labeling with two constants or is called a vertex bimagic total labeling. The...
متن کاملVertex BIMAGIC Total Labeling for BISTAR Bn,n
A vertex bimagic total labeling on a graph with v vertices and e edges is a one to one map taking the vertices and edges onto the integers 1, 2, 3, ...v + e with the property that the sum of the label on the vertex and the labels of its incident edges is one of the constants k1 or k2, independent of the choice of the vertex. In this paper we have discussed that bistar Bn,n are vertex bimagic to...
متن کاملVertex Equitable Labeling of Double Alternate Snake Graphs
Let G be a graph with p vertices and q edges and A = {0, 1, 2, . . . , [q/2]}. A vertex labeling f : V (G) → A induces an edge labeling f∗ defined by f∗(uv) = f(u) + f(v) for all edges uv. For a ∈ A, let vf (a) be the number of vertices v with f(v) = a. A graph G is said to be vertex equitable if there exists a vertex labeling f such that for all a and b in A, |vf (a) − vf (b)| ≤ 1 and the indu...
متن کاملSome Results on Vertex Equitable Labeling
Let G be a graph with p vertices and q edges and let = 0,1, 2, , . 2 q A A vertex labeling : f V G A i e a vertex equitable labeling of G if it induces an edge labeling s said to b given by * = f uv f u f v * f such that 1 v a v b and * = 1,2,3, , f f f E q , where f v a is the ber of verti num ces v with = f v a for . ...
متن کاملOn discriminativity of vertex-degree-based indices
A recently published paper [T. Došlić, this journal 3 (2012) 25-34] considers the Zagreb indices of benzenoid systems, and points out their low discriminativity. We show that analogous results hold for a variety of vertex-degree-based molecular structure descriptors that are being studied in contemporary mathematical chemistry. We also show that these results are straightforwardly obtained by u...
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2014
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.45.2014.1004