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Error on NHL's explanation of next seasons playing matrix

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04-25-2013, 01:25 PM
  #1
cheswick
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Error on NHL's explanation of next seasons playing matrix

or am I just missing something?

I looked for an older thread to ask this in, but they all seem locked.

Anyway, in terms of the western conference, the NHL explains:
Western Conference (7-team divisions)
Within Conference (Division): 29 games
* 5 games vs. five teams (3 Home/2 Away vs. two teams, 2 Home/3 Away vs. three teams) AND 4 games vs. one team (2 Home/2 Away). Teams rotated on a yearly basis.
* 5 X 5 =25 games
* 1 X 4 = 4 games

Within Conference (Non-Division): 21 games
* 3 games vs. each team (2 Home/1 Away vs. four teams, 1 Home/2 Away vs. three teams). Teams rotated on a yearly basis.
* 3 X 7 = 21 games

(Exception: one team from each division plays one less game inside Division and one more game inside Conference outside Division)


The part I don't understand is the exception they have listed. Isn't it backwards? Wouldn't the odd team out play one more game within division and one less game inside conference?


Eg.
Teams: A, B, C, D, E, F, G
A plays B 4x, the rest 5x
B plays A 4x, the rest 5x
C plays D 4x, the rest 5x
D plays C 4x, the rest 5x
E plays f 4x, the rest 5x
F plays E 4x, the rest 5x

The issue for the exception comes in because G doesn't have a team to partner off against for only 4 games.

But how does palying an extra game agsint the otehr division solve that. Wouldn't G have to play 30 games within teh division, an EXTRA game, not one less game?

Or am I just totally out of it today and don't see how one less game within division solves the problem.

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04-25-2013, 01:55 PM
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Tawnos
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It works both ways.

Many here were proponents of evening out the division games.

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04-25-2013, 02:24 PM
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If anyone partners up with G to play 4 games then they play 1 less game in the division, and make it up by playing the partner of G in the other division.

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04-25-2013, 02:31 PM
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cheswick
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Quote:
Originally Posted by epo View Post
If anyone partners up with G to play 4 games then they play 1 less game in the division, and make it up by playing the partner of G in the other division.
But there is no one left to partner with G to play 4 games. All the other teams in the division are already playing a 4 game series against another divisional opponent. Each 4 game series needs two parties to participate in it.

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04-25-2013, 02:40 PM
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epo
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Quote:
Originally Posted by cheswick View Post
But there is no one left to partner with G to play 4 games. All the other teams in the division are already playing a 4 game series against another divisional opponent. Each 4 game series needs two parties to participate in it.
A and B
C and D
E and F
F and G

F plays 5+5+5+5+4+4= 28
Everyone else 5+5+5+5+5+4=29

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04-25-2013, 04:05 PM
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cheswick
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Quote:
Originally Posted by epo View Post
A and B
C and D
E and F
F and G

F plays 5+5+5+5+4+4= 28
Everyone else 5+5+5+5+5+4=29
Geeze I'm dense. Thanks.

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04-25-2013, 05:33 PM
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MNNumbers
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To all that has been shared here, I would add that the way they have done is good:
One way to think of it is that everyone plays every else in their division 5 times, which makes 30 games. But, we only want 29, so we start backing off. This is how we back off:
a, b remove a game with each other
c, d remove a game with each other
e, g remove a game with each other
f, g remove a game with each other.
This leaves all teams with 29 division games, except g, which now has 28, because they have backed off twice.

The same happens in the other division. Then, the g from the PAC division plays the g from the CTZ division to make up the difference.

We talked on this forum of a different way, one which I prefer:
Each team plays 5 games against all teams in its own division = 30
Each team plays 3 games against the other division = 21.
That is one too many. So, each team will subtract one game against one team from the other division, to make 20. It is easy to see how to do this:
P1 C1
P2 C2
P3 C3
P4 C4
P5 C5
P6 C6
P7 C7
These pairs play only 2 games against each other.
Then, next year, rotate the C list one place, and you have next year's pairs. All even after 7 years.

But, the best way really, especially if PHX moves to QC and someone from the ETZ has to play in the CTZ division is to do:
6 games vs your own division teams = 36
2 games vs other division teams = 14
Perfect.

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