Date Thesis Awarded

Summer 7-2012

Document Type

Honors Thesis

Degree Name

Bachelors of Science (BS)

Department

Mathematics

Advisor

Gexin Yu

Committee Member

C. Ryan Vinroot

Committee Member

Weizhen Mao

Abstract

For a given regular bipartite graph G, can we partition the set of all perfect matchings of G into subsets such that each subset gives a 1-factorization of G? Or equivalently, given a (0; 1)-matrix A and the set PA of permutation matrices componentwise less than A, can we partition PA into subsets so that the matrix sum of elements in each subset is A? If so, we say the graph G or the matrix A has a perfect partition. We focus our attention on a class of regular bipartite graphs, and show the existence of perfect partitions for two particular regular bipartite graphs of the class.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Share Alike 3.0 License.

Comments

Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.

Share

COinS