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3-Helly
(C4,C5)-free ∩ Helly
Helly
Helly 2-acyclic subtree
Helly ∩ bridged
Helly ∩ reflexive
Helly cactus subtree
Helly cactus subtree ∩ perfect
Helly chordal
Helly chordal ∩ clique-chordal
Helly circle
Helly circular arc
Helly circular arc ∩ (C7,odd-hole)-free
Helly circular arc ∩ concave-round
Helly circular arc ∩ perfect
Helly circular arc ∩ quasi-line
Helly circular arc ∩ self-clique
Helly subtree
P4-tidy ∩ hereditary clique-Helly ∩ perfect
biclique-Helly
bridged ∩ clique-Helly
chordal ∩ clique-Helly
chordal ∩ hereditary clique-Helly
circular arc ∩ clique-Helly
claw-free ∩ normal Helly circular arc
clique graphs
clique graphs of Helly circular arc
clique graphs of normal Helly circular arc
clique-Helly
clique-Helly ∩ clique-chordal
clique-Helly ∩ dismantlable
clique-Helly ∩ dismantlable ∩ reflexive
co-hereditary clique-Helly
disk-Helly
half-disk Helly
hereditary Helly
hereditary biclique-Helly
hereditary clique-Helly
hereditary clique-Helly ∩ line ∩ perfect
hereditary clique-Helly ∩ paw-free ∩ perfect
hereditary clique-Helly ∩ self-clique
hereditary disk-Helly
hereditary neighbourhood-Helly
hereditary open-neighbourhood-Helly
line graphs of Helly hypergraphs of rank 3
modular ∩ open-neighbourhood-Helly
neighbourhood-Helly
neighbourhood-Helly ∩ pseudo-modular ∩ reflexive
neighbourhood-Helly ∩ triangle-free
normal Helly circular arc
open-neighbourhood-Helly
proper Helly circular arc
unit Helly circle
unit Helly circular arc