Vertex Sum Cube Labeling for Some Special Graphs | Chapter 4 | Research Updates in Mathematics and Computer Science Vol. 1

 In this chapter, the new concept vertex sum cube labeling has been introduced and a formula for vertex sum cube labeling has been established. A function θ is called a Vertex sum cube labeling of a graph G with edges, if the vertices of G to the set {0,1,2,p-1} such that when each edge is assigned the label θ(uv) = u3 + v3 + 3u2v + 3uv2, then θ is a bijective function, then the resulting edge labels are distinct cube numbers. In this chapter, some families of graphs such as Ladder, Stair Strn, Jelly Fish J(m,n) and P2n has been established.

Author(s) Details:

P. Shalini,
PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Trichy – 18, India.

S. Prema,
PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Trichy – 18, India.

Please see the link here: https://stm.bookpi.org/RUMCS-V1/article/view/13671

Study on the Influence of Tunable LED Lighting Systems on Consumer Food Label Perceptions| Chapter 6 | Research Developments in Science and Technology Vol. 2

In a grocery store simulation lab at a major Midwestern university, consumers' impressions of meat package label design differences were examined under various LED lighting settings. Participants' reactions to the new meat labelling were assessed using a quasi-experimental methodology that included a multi-group within-subjects post-test only design. Philips HUE consumer LED light bulbs were adjusted with varied colours from 2700 K (RED) to 7000 K over beef steak packaging labels (BLUE). The display lighting simulations were created by placing gooseneck lights above the products. Label and illumination interactions influenced consumer perceptions of nutrition label information across and among subject groups, according to the study. When compared to the thermal impacts of earlier fluorescent and metal halide technologies, LED lights stay cool while lowering energy expenses. In the future, LED lighting systems with significant colour diversity will become more important and used in retail lighting designs.

 

Author(s) Details:

Greg Clare,
Design, Housing and Merchandising, Oklahoma State University, Stillwater, OK, USA.

Nahide Hancer,
Design, Housing and Merchandising, Oklahoma State University, Stillwater, OK, USA.

Please see the link here: https://stm.bookpi.org/RDST-V2/article/view/6608

Total Magic Cordial and Total Sequential Cordial Labeling of Path Related Graph | Chapter 05 | Innovations in Science and Technology Vol. 5

 A graph is defined as G(V,E), with V being the vertex set and E denoting the edge set. A path graph is a simple graph with n number of vertices and n-1 number of edges, with vertices and edges denoted as v1,v2,...vn and edges marked as vivi+1. The cordial related labelling for a certain type of path graph named Square graph of path and Shadow graph of path is discussed in this chapter. Total Sequential Cordial labelling is defined as a mapping f: V U E 0,1 such that for each (a,b) E,f (a,b) =|f(a) - f(b)|, given the condition |f(0) - f(1)|1 holds, where f(0) = vf (0) + ef (0) and f(1) = vf (1) + ef (1) and vf (1), ef (1),i Total magic cordial labelling is defined as if there exists a mapping f: V U E 0,1 such that f(a) + f(b) + f(ab) = Cmod2 for all (a,b) E given the constraint |f(0) - f(1)| 1 holds, where f(0) = vf (0) + ef (0) and f(1) = vf (1) + ef (1) and vf I

Author(S) Details

R. Parameswari
Sathyabama Institute of Science and Technology Chennai, Tamil Nadu, India.

View Book:- https://stm.bookpi.org/IST-V5/article/view/5700