Selected Applications of the Nash-Williams Lemma

Date of Graduation

Summer 1998

Degree

Master of Science in Mathematics

Department

Mathematics

Committee Chair

Cameron Wickham

Abstract

The reader will be familiarized with the basic concepts of graph theory that are associated with the Edge Reconstruction Conjecture along with a formal statement and proof of the Nash-Williams Lemma. Reconstructibility conditions concerned with comparing the size and order of general graphs will then be established with an in depth look at conditions dealing with the minimum, average and maximum degrees of bidegreed, tridegreed, and fourdegreed graphs.

Subject Categories

Mathematics

Copyright

© Matthew Arthur Brom

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Dissertation/Thesis

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