The pulsar tree and the positions of the selected pulsars in the pulsar tree. Left panel: pulsars with detected TeV PWNe (gray dots) noted in the pulsar tree, the minimal spanning tree of the pulsar population. Middle panel: grouping of pulsars. The pulsars have been grouped in a way that allows us to comment on their different features (see text). This is a zoom-in of the bottom-leftmost part of the MST (the area enclosed by the red ellipse), which is where most of the TeV PWNe are located. Right panel: same zoom-in as in the middle panel, but we note the 29 pulsars with confirmed TeV PWNe, the 13 pulsars with confirmed PWNe at other frequencies, the nine pulsars without a PWN detected at any frequencies yet, and the ten remaining pulsars for which there are only unconfirmed candidate PWNe claimed. Four selected candidates analyzed in this work are noted in red, and these also belong to the group of ten pulsars. From top to bottom, the red points represent PSR J1844-0346, PSR J1341-6220, PSR J1838-0537, and PSR J1208-6238, respectively.