Daily League Sudoku #44: Numpad Sudoku

Here is again a new variant, as far as I'm aware of. But if you really think about it, it's pretty similar to variants that have been used before. I think the tricky part is the fact that the horizontal and vertical rules aren't completely similar. The variant is based off the Numeric Keypad (or Numpad) you find on computer keyboards. On the off chance that someone is not familiar with its design, the given digits are in the design of one.
The puzzle has a narrow solve path through the opening, but finishes off pretty quickly towards the end. I hope it's enjoyable.

Rules for Sudoku

In this Sudoku a dot is given between 2 horizontally adjacent digits if they are horizontally adjacent on a Numeric Keypad. A dot is given between 2 vertically adjacent digits if they are vertically adjacent on a Numeric Keypad. All possible dots have been given.

Daily League Sudoku #43: Next To Nine Sudoku

Last Tuesday was the Dutch Sudoku Championship. I won the Dutch Championship and can now call myself Dutch Sudoku Champion for a year. The puzzles can be found at http://wcpn.nl. All Sudokus were written by Richard Stolk. In case you need the English translations for the instructions, they can be found in this forum post. This Sudoku was one of the types appearing the championship. I thought this was most likely the least common type to appear in the test, so that's why I decided to write one myself.
I think this puzzle isn't too hard, but I will await the times to see if my judgement is accurate. They are more often not correct when it comes to Sudokus. You can solve the puzzle at SudokuCup, which features all Daily League Sudokus suitable for the applet on a one day delay.

Rules for Sudoku

In this Sudoku, the digits on the outside indicate which digits are directly adjacent to the digit 9 in that row or column. The digits are not necessarily listed in order.

Click to enlarge