Speaker: Cheryl Praeger (University of Western Australia)
Time and place: 16:00 Friday 19/05/2017 in Weatherburn LT
Title: Edge-transitive oriented graphs of valency four: quotients and cycles
Abstract: I will report on our analysis of the structure of this family of oriented graphs in terms of their quotients especially their cyclic normal quotients. This approach was an experiment to see how a quotient analysis would work for oriented graphs. It turns out it gives new insights, and makes possible various classifications. For example, each candidate graph with independent cyclic normal quotients is shown to be a normal cover of a graph from one of five explicit families. Graphs from most of these five families had previously been used in the literature to illustrate various local properties. This new quotient approach highlights their importance. There are several open problems which Ill mention
Past and future seminars may be found at http://www.maths.uwa.edu.au/~glasby/S17.html
Time and place: 16:00 Friday 19/05/2017 in Weatherburn LT
Title: Edge-transitive oriented graphs of valency four: quotients and cycles
Abstract: I will report on our analysis of the structure of this family of oriented graphs in terms of their quotients especially their cyclic normal quotients. This approach was an experiment to see how a quotient analysis would work for oriented graphs. It turns out it gives new insights, and makes possible various classifications. For example, each candidate graph with independent cyclic normal quotients is shown to be a normal cover of a graph from one of five explicit families. Graphs from most of these five families had previously been used in the literature to illustrate various local properties. This new quotient approach highlights their importance. There are several open problems which Ill mention
Past and future seminars may be found at http://www.maths.uwa.edu.au/~glasby/S17.html