In a thinly veiled attempt to crow about what I believe to be the features, advantages and benefits of iThoughts, I would recommend checking that your choice of iPhone mind map tool can do all of the following:

1. Export and import popular mindmap formats (see the compatibility page for more details:)
   

2. Freemind (0.8 and 0.9 - Windows and Mac)
   

3. OPML (supported by OminOutliner)
   

4. MindManager (6, 7 and 8 - Windows and Mac)
   

5. Novamind (v4 - Windows and Mac)
   

6. XMind (Windows and Mac)
   

7. iMindmap 4 (Windows and Mac)
   

8. Mindview 3 (Windows)
   

1. In-place topic edit for really fast idea collection.
   

2. Synchronise maps with cloud storage for backup and collaboration.
   

3. Topic relationships (links) with configurable colour and arrow heads
   

4. Folding (collapsible) topics (to a specified depth of 1, 2 or all)
   

5. Configurable topic shapes (rectangle, oval etc.)
   

6. Auto align and arrange branches and entire maps - in a single operation.
   

7. Note attachments (with embedded hyperlinks to email, web, phone, sms)
   

8. Link from one map to another.
   

9. Coloured topics.
   

10. Very large maps (1000x the area of the screen.)
    

11. Multi-line topic text (2000+ characters.)
    

12. Multiple topic icons (48)
    

13. Email your maps as attachments (in the various desktop formats)
    

14. Email map outlines as HTML including links and notes.
    

15. Email an image of your map in PNG format.
    

16. Email your map as a PDF.
    

17. Cut, copy and paste to, from and within iThoughts.
    

18. Rename your maps.
    

19. Pull maps directly from the Internet via iPhone Safari web browser.
    

20. Non ASCII character support (Japan is one of our biggest customers.)
    

21. Make use of the whole screen (no wasted space - given over to menus etc.)
    

22. Share maps directly with other iThoughts users.
    

23. Upload maps to a user provided webservice.
    

24. Task management features (associate start date, due date, progress with a topic)
    

25. Map reordering (put your most frequent maps at the top of the list.)
    

26. Map icons (enabling you target your desired map more easily)
    

27. Intelligent use of shake and vibrate functionality to improve usability.
    

28. Rapid topic creation and placement using ‘double tap create’.
    

29. Integrate with cloud services (e.g. box.net, dropbox.com)
    

30. Work in Portrait or Landscape
    

31. Full version history for each map - including ‘recovery’.
    

32. Keep topics auto-organised (makes branch expand/collapse more effective)
    

33. TextExpander integration
    

34. Autoscroll when dragging topics off the screen.
    

35. Configurable canvas background colours and patterns.
    

No other iPhone MindMap application on the AppStore sports all the features above !