Abstract
A graph is said to be edge-transitive if its automorphism group acts transitively on its edges. It is known that edge-transitive graphs are either vertex-transitive or bipartite. We present a complete classification of all connected edge-transitive graphs on less than or equal to vertices. We investigate biregular bipartite edge-transitive graphs and present connections to combinatorial designs, and we show that the Cartesian products of complements of complete graphs give an additional family of edge-transitive graphs.
Citation
Heather A. Newman. Hector Miranda. Adam Gregory. Darren A. Narayan. "Edge-transitive graphs and combinatorial designs." Involve 12 (8) 1329 - 1341, 2019. https://doi.org/10.2140/involve.2019.12.1329
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