Created
February 5, 2026 05:39
-
-
Save oneman/82ca8d4f13868d1e83c35478010233ac to your computer and use it in GitHub Desktop.
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Letter,Connectedness,Components,Holes,Contractible,Simply Connected,Branching structure,Endpoints,Graph model,Euler characteristic,Genus | |
| a,Connected and path-connected,1,1,No,No,One branch point of valence 3,1,Circle with attached tail (tree attached to loop),0,1 | |
| b,Connected and path-connected,1,1,No,No,One branch point of valence 3,1,Circle with attached tail,0,1 | |
| c,Connected and path-connected,1,0,Yes,Yes,None,2,Interval (simple arc),1,0 | |
| d,Connected and path-connected,1,1,No,No,One branch point of valence 3,1,Circle with attached tail,0,1 | |
| e,Connected and path-connected,1,0,Yes,Yes,One branch point of valence 3,3,"Y-shape (star graph K_{1,3})",1,0 | |
| f,Connected and path-connected,1,0,Yes,Yes,One branch point of valence 3,3,"Y-shape (star graph K_{1,3})",1,0 | |
| g,Connected and path-connected,1,2,No,No,One branch point of valence 4,0,Two circles wedged at a point (figure-8 curve),-1,2 | |
| h,Connected and path-connected,1,0,Yes,Yes,None,2,Interval,1,0 | |
| i,Not connected,2 (stem + dot),0,Yes (each component),Yes (each),None,"2 (stem), 0 (dot, assuming point-like)",Interval + point,2,0 | |
| j,Not connected,2 (hook + dot),0,Yes (each),Yes (each),None,"2 (hook), 0 (dot)",Interval + point,2,0 | |
| k,Connected and path-connected,1,0,Yes,Yes,Two branch points of valence 3,4,Line with two side branches,1,0 | |
| l,Connected and path-connected,1,0,Yes,Yes,None,2,Interval,1,0 | |
| m,Connected and path-connected,1,0,Yes,Yes,None,2,Interval,1,0 | |
| n,Connected and path-connected,1,0,Yes,Yes,None,2,Interval,1,0 | |
| o,Connected and path-connected,1,1,No,No,None,0,Circle,0,1 | |
| p,Connected and path-connected,1,1,No,No,One branch point of valence 3,1,Circle with attached tail,0,1 | |
| q,Connected and path-connected,1,1,No,No,One branch point of valence 3,1,Circle with attached tail,0,1 | |
| r,Connected and path-connected,1,0,Yes,Yes,None,2,Interval,1,0 | |
| s,Connected and path-connected,1,0,Yes,Yes,None,2,Interval,1,0 | |
| t,Connected and path-connected,1,0,Yes,Yes,One branch point of valence 4,4,"Star graph K_{1,4} (tree)",1,0 | |
| u,Connected and path-connected,1,0,Yes,Yes,None,2,Interval,1,0 | |
| v,Connected and path-connected,1,0,Yes,Yes,None,2,Interval,1,0 | |
| w,Connected and path-connected,1,0,Yes,Yes,None,2,Interval,1,0 | |
| y,Connected and path-connected,1,0,Yes,Yes,One branch point of valence 3,3,"Y-shape (star graph K_{1,3})",1,0 | |
| z,Connected and path-connected,1,0,Yes,Yes,None,2,Interval,1,0 |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment