On the bandwidth of generalized Petersen graphs
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 vert...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
2006
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/17430 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | 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. |
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