#### Event Title

Radio Number for Fifth Power Paths

#### Presentation Type

Poster & Oral Presentation

#### College

College of Natural Sciences

#### Major

Mathematics

#### Location

Event Center B

#### Faculty Mentor

Dr. Belisario Ventura

#### Start Date

2-27-2013 10:10 AM

#### End Date

2-27-2013 6:00 PM

#### Abstract

Let G be a connected graph and for any two vertices, u, v, let d(u,v) be distances in G. The maximum distance is called the diameter of G, diam(G). Then we find a radio labeling of G such that the inequality 1F(w)-F(v01> or = diam (G) –d(u,v) +1 holds. The radio number is the minimum span in G. We will discuss the progress made towards finding the radio number for the 5th power graph.

Radio Number for Fifth Power Paths

Event Center B

Let G be a connected graph and for any two vertices, u, v, let d(u,v) be distances in G. The maximum distance is called the diameter of G, diam(G). Then we find a radio labeling of G such that the inequality 1F(w)-F(v01> or = diam (G) –d(u,v) +1 holds. The radio number is the minimum span in G. We will discuss the progress made towards finding the radio number for the 5th power graph.