Sum Square Difference Product Prime Labeling of Some Cycle Related Graphs

Abstract

Sum square difference product prime labeling of a graph is the labeling of the vertices with {0,1,2---------,p-1} and the edges with absolute difference of the square of the sum of the labels of the incident vertices and product of the labels of the incident vertices. The greatest common incidence number of a vertex (gcin) of degree greater than one is defined as the greatest common divisor of the labels of the incident edges. If the gcin of each vertex of degree greater than one is one, then the graph admits sum square difference product prime labeling. Here we identify some cycle related graphs for sum square difference product prime labeling.

Authors and Affiliations

Keywords

Related Articles

Use of a hypothetically optimal non-recursive digital smoothing filter for comparative study of signal denoising methods in analytical chemistry

We developed a hypothetically optimal non-recursive digital smoothing filter which minimises the sum of the squared norms of the residuals (between true and smoothed signals) and of the smoothed noise. It has been proven...

An Analysis and Survey on Multicast Routing Protocols for Mobile Ad hoc Networks

An ad hoc network is a dynamic wireless network with a set of cooperative nodes without a fixed infrastructure. Multicasting is used for group communication which supports the transmission of information from a sender to...

The effect of tool coating and cutting conditions on tool Temperature

A good prediction of the temperature in the cutting tool for machining facilitate the optimization of cutting condition to achieve long tool life and low production cost . This paper presents a comprehension between a nu...

APPLICATION OF TOPOGRAPHICAL SURVEY FOR ASSESSMENT OF ISUNJABA GULLY EROSION SITE IN ISU LOCAL GOVT. AREA OF IMO STATE

Topographical survey has been a useful tool to better understand the undulation of terrains (terrain relief), and in particular serve as a planning tool on how to remedy eroded terrains to avoid further degradation/defor...

Sum Square Difference Product Prime Labeling of Some Cycle Related Graphs

Sum square difference product prime labeling of a graph is the labeling of the vertices with {0,1,2---------,p-1} and the edges with absolute difference of the square of the sum of the labels of the incident vertices an...

Download PDF file
  • EP ID EP650588
  • DOI -
  • Views 190
  • Downloads 0

How To Cite

(2017). Sum Square Difference Product Prime Labeling of Some Cycle Related Graphs. International Journal of Emerging Technologies in Computational and Applied Sciences, 22(1), -. https://europub.co.uk/articles/-A-650588