In this note, we consider the \(i\)-block intersection graphs (\(i\)-BIG) of a universal friendship \(3\)-hypergraph and show that they are pancyclic for \(i = 1,2\). We also show that the \(1\)-BIG of a universal friendship \(3\)-hypergraph is Hamiltonian-connected.
Citation
P. C. Li. A Note on the Pancyclism of Block Intersection Graphs for Universal Friendship Hypergraphs[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 083. 65-75. .