On the bandwidth of generalized Petersen graphs

• Main Authors: Pusong, Mary Grace B., Villacorta, Katrina Beatrice P.
• Format: text
• Language: English
• Published: Animo Repository 2006
• Subjects: Equations; Linear equations; Algebra > Graphic method; Integral equations; Differential equations, Linear
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/17430
• Institution: De La Salle University

The bandwidth of a graph G is the minimum of the quantity max{f(u) - f(v) : uv is an edge of G} taken over all injective integer labelings f of G. This paper aims to determine the bandwidth of generalized Petersen graphs from order 6 to 16. The generalized Petersen graph, denoted by Pn,k has 2n vertices x1, x2,..., xni, Y1, Y2,..., Yn and edges [X1, X2], [X2, X3],...,[Xn-1, Xn], [Xn, X1] [X1, Y1], [X2, Y2],...,[Xn, Yn] and all edges of the form [Yi, Yi +k], i = 1,2,...,n where n-3 and k is an integer satisying 1-k- 2-1 and i + k is read modulo n.