When I read Daniel Austin's article "Can All Words Be Expressed as Sumagrams?" in the May 2004 Word Ways, I thought to myself that his results could have been obtained without needing the ability to rearrange the letters of a word. Let me discuss this in terms of the mathematical underpinning of his article.
Word Ways: Vol. 38
, Article 14.
Available at: http://digitalcommons.butler.edu/wordways/vol38/iss1/14