On Edge Pair Sum Labeling of Graphs
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 7, Issue 2
Abstract
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)=∑_(e∊E_v)▒f(e) is one – one, where E_v denotes the set of edges in G that are incident with a vertex v and f^* (V(G)) is either of the form {±k_1,±k_2,…,±k_(p/2) } or {±k_1,±k_2,…,〖±k〗_((p-1)/2) }⋃{k_(p/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 prove that some cycle related graphs are edge pair sum graphs.
Authors and Affiliations
P. Jeyanthi , T. Saratha Devi
Pathos Vertex Semientire Block Graph
The pathos vertex semientire block graph denoted by Pvb(G) is the graph whose vertex set is V(T) bi r and the two vertices are adjacent if and only if they are adjacent vertices, vertices lie on the blocks, vertices lie...
RW-CONTINUOUS MAPS AND RW-IRRESOLUTE MAPS IN TOPOLOGICAL SPACES
In this paper we introduce and study the concept of regular weakly continuity (briefly rw-continuity) and regular weakly irresolute (briefly rw-irresolute) in topological spaces and discuss some of their properties...
(gsp)*-Closed Sets In Topological Spaces
In this paper we have introduced a new class of sets called (gsp)*-closed sets which is properly placed in between the class of closed sets and gsp-closed sets. As an application, we introduce two news paces namely, Tgsp...
Hopf Bifurcation Analysis for the Pest-Predator Models Under Insecticide Use with Time Delay
We consider a delayed Pest-predator model under insecticide use. First, the paper considers the stability and local Hopf bifurcation for a modified Pest-predator model with time delay. In succession, using the normal for...
Evaluation of Watermarking Techniques
Now a days the copyright of multimedia and secrete information is very difficult to transfer across the internet multimedia objects must be compressed before transmitting the data. The JPEG compression is one of th...