Title: | Partial Geometries and Strongly Regular Graphs: Connections and Questions |

Speaker: | Ellen Kamischke Teaching Assistant Mathematics Michigan Technological University Houghton, Michigan |

Abstract: | Partial geometries were first described in 1963 by R. C. Bose. They are finite point line geometries specified by three parameters that are defined by a set of four basic axioms. Each partial geometry has a strongly regular point graph. While some very simple shapes can be understood as partial geometries, the number of proper ones is actually limited. In this talk we will define both the geometries and the graphs and explore some connections between them. We will also look at how we can use a group of automorphisms acting on the geometry to classify it as one of three types. Finally we will see how this work enables us to generate a list of parameters for potential partial geometries and how we are beginning to investigate these possibilities. |

Location: | Palenske 227 |

Date: | 3/6/2014 |

Time: | 3:30 PM |

@abstract{MCS:Colloquium:EllenKamischke:2014:3:6, author = "{Ellen Kamischke}", title = "{Partial Geometries and Strongly Regular Graphs: Connections and Questions}", address = "{Albion College Mathematics and Computer Science Colloquium}", month = "{6 March}", year = "{2014}" }