Re: lists of pairs

• To: mathgroup at smc.vnet.net
• Subject: [mg8525] Re: [mg8486] lists of pairs
• From: "C. Woll" <carlw at u.washington.edu>
• Date: Thu, 4 Sep 1997 02:20:25 -0400
• Sender: owner-wri-mathgroup at wolfram.com

```Hi Russell,

Union[Sort/@edges]

Carl Woll
Dept of Physics
U of Washington

On Tue, 2 Sep 1997, Russell Towle wrote:

> Hi all, I have a problem in discarding duplicates from a list of integer
> pairs, where if pairs of the form {a, b} and {b,a} exist in the list, I
> wish to discard (or select) only one, it doesn't matter which.  The method
> I use below works, but is slow.
>
> First, here is a sample list of integer pairs:
>
> edges = {{16, 10}, {10, 4}, {4, 9}, {9, 15}, {15, 16}, {16, 15}, {15, 18},
> {18, 20}, {20, 19}, {19, 16}, {16, 19}, {19, 14}, {14, 8}, {8, 10}, {10,
> 16}, {10, 8}, {8, 3}, {3, 1}, {1, 4}, {4, 10}, {4, 1}, {1, 2}, {2, 7}, {7,
> 9}, {9, 4}, {9, 15}, {15, 18}, {18, 13}, {13, 7}, {7, 9}, {19, 20}, {20,
> 17}, {17, 12}, {12, 14}, {14, 19}, {8, 14}, {14, 12}, {12, 6}, {6, 3}, {3,
> 8}, {1, 3}, {3, 6}, {6, 5}, {5, 2}, {2, 1}, {7, 2}, {2, 5}, {5, 11}, {11,
> 13}, {13, 7}, {18, 13}, {13, 11}, {11, 17}, {17, 20}, {20, 18}, {12, 17},
> {17, 11}, {11, 5}, {5, 6}, {6, 12}}
>
> It is this long:
> In[35]:=
> Length [ edges ]
> Out[35]=
> 60
>
> However, this is twice as long as I want, for every pair {a, b} has an
> unwanted opposite {b, a}.
>
> This is my present method:
>
> (*find duplicates (indices in reverse order)*)
> (*7.60 seconds*)
> c=Table[
> Position[edges, x_ /; x == edges[[i]] || x == Reverse[edges[[i]]] ],
> {i,Length[edges]}];
>
> Now I have the positions of all duplicates, twice over, so I use Union and
> Take the First elements.
> f=Map[Take[#,1]&, Union[c]]
>
> And, this is the final list I wanted from the beginning:
> f=Flatten[f,2]
>
> Suggestions?  It is desired to minimize the time it takes to do this.
>
> Russell Towle
> Giant Gap Press:  books on California history, digital topographic maps
> P.O. Box 141
> Dutch Flat, California 95714
> ------------------------------
> Voice:  (916) 389-2872
> e-mail:  rustybel at foothill.net
> ------------------------------
>
>
>
>

```

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