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- W767894515 abstract "Given a complete graph G, we consider two separate scenarios. First, we consider the minimum number N such that every coloring of G using exactly k colors contains either a rainbow triangle or a monochromatic star on t vertices. This number is known for small cases and generalized for larger cases for a fixed k. Second, we introduce the vertex proper connection number of a graph and provide a relationship to the chromatic number of minimally connected subgraphs. Also a notion of total proper connection is introduced and a question is asked about a possible relationship between the total proper connection number and the vertex and edge proper connection numbers. Thesis Mentor: Dr. Colton Magnant Honors Director: Dr. Steven Engel April 2015 Mathematical Sciences University Honors Program Georgia Southern University" @default.
- W767894515 created "2016-06-24" @default.
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- W767894515 date "2015-01-01" @default.
- W767894515 modified "2023-09-26" @default.
- W767894515 title "Gallai-Ramsey and vertex proper connection numbers" @default.
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