Automorphism groups of graphs
Ashwin Ganesan
TL;DR
This paper introduces automorphism groups of graphs, focusing on special families like Cayley graphs generated by transpositions, providing foundational knowledge and specific examples in graph theory.
Contribution
It offers an introductory overview of automorphism groups with detailed discussion on Cayley graphs generated by transpositions, highlighting their structure and properties.
Findings
Automorphism groups of various graphs are characterized.
Cayley graphs generated by transpositions are analyzed.
Structural properties of these graphs are discussed.
Abstract
These lecture notes provide an introduction to automorphism groups of graphs. Some special families of graphs are then discussed, especially the families of Cayley graphs generated by transposition sets.
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Taxonomy
TopicsFinite Group Theory Research · graph theory and CDMA systems · Advanced Graph Theory Research