Irredundant and Mixed Ramsey Numbers
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Date
2013
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Authors
Clifton, Ann Wells
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Publisher
East Carolina University
Abstract
The irredundant Ramsey number, s(m,n), is the smallest p such that in every two-coloring of the edges of K[subscript]p using colors red (R) and blue (B), either the blue subgraph contains an m-element irredundant set or the red subgraph contains an n-element irredundant set. The mixed irredundant Ramsey number, t(m,n), is the smallest number p such that in every two-coloring of the edges of K[subscript]p using colors red (R) and blue (B), either the blue subgraph contains an m-element irredundant set or the red subgraph contains an n-element independent set. This thesis provides all known results for irredundant and mixed Ramsey numbers.