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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

1998

Western Michigan University

Applied Mathematics

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

A Generalization Of Cayley Graphs For Finite Fields, Dawn M. Jones Aug 1998

A Generalization Of Cayley Graphs For Finite Fields, Dawn M. Jones

Dissertations

A central question in the area of topological graph theory is to find the genus of a given graph. In particular, the genus parameter has been studied for Cayley graphs. A Cayley graph is a representation of a group and a fixed generating set for that group. A group is said to be planar if there is a generating set which produces a planar Cayley graph. We say that a group is toroidal if there is a generating set that produces a toroidal Cayley graph and if there are no generating sets which produce a planar Cayley graph. Characterizations for …


Perturbed Hamiltonian System Of Two Parameters With Several Turning Points, Myeong Joon Ann Jun 1998

Perturbed Hamiltonian System Of Two Parameters With Several Turning Points, Myeong Joon Ann

Dissertations

No abstract provided.