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John Baez replied RE: Spread: a measure of the size of metric spaces (3 days ago)
+Ramsay Dyer - when you zoom in closer, it won't look like doubling dimension.  :-)  For one thing, it's explicitly scale-dependent.  I actually think it should be both scale-dependent and location-dependent.

But I hadn't known about doublig dimension - thanks!
Charles Filipponi replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (3 days ago)
+Richard Green Well that sounds like an interesting conversation - wish I was a fly on the wall.
Jane A. Larson replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (3 days ago)
+Richard Green Thank you, I'll look forward to any and all information given.
Richard Green replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (3 days ago)
That's a good question, +Jane A. Larson. I posted this partly so I could talk about it with molecular biologists at my university. After I do, maybe I'll have some more insight.
Jane A. Larson replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (3 days ago)
+Richard Green​ have the Hultman numbers ever been utilized for medical research? If so, was it proven to be significant or could be significant in the research? Off the cuff question, I know.
Richard Green replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (4 days ago)
+Charles Filipponi, yes, that's the book.

+Deen Abiola, you're right, combinatorial group theory is a significant aspect of this. I meant to say that in my previous comment and forgot.

Person whose name I can't type: the online encyclopedia I linked to above calls them “Hultman numbers” and “signed Hultman numbers”, so this is probably standard terminology.
武田方男 replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (4 days ago)
Is there available for the suitable tech term instead of The (signed) Hultman number H(n,d) such as signed H number or signed gene numbers etc?
Deen Abiola replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (4 days ago)
I wrote some code that did this kind of stuff once. I'd say it's group theory (permutations) at its core and graph theory that yields insights.
Charles Filipponi replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (4 days ago)
Is this the one you mean +Richard Green ?

http://books.google.com/books/about/Algebraic_Combinatorics.html?id=eADtlNCkkIMC

When I went looking, long ago and far away, for Kuhn-Munkres at someone's suggestion, I could only find it in one book (the name escapes me right now - Five Guys is wearing off - but it's downstairs in my library). Things may have progressed some. This book (at the link) was published in '93, about 6 or 7 years after I first started working with this stuff. So I never heard of it. IF this is the book you are talking about, I will order it if it's still in print. 
Richard Green replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (4 days ago)
The theory of matchings is fairly extensive, +Charles Filipponi. Chris Godsil's book on algebraic combinatorics has a lot to say about this topic.
Charles Filipponi replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (4 days ago)
After some dusting off with a Five Guys burger, I remember a bit of some graph theory/combinatorics which may or may not be relevant. It's a fascinating result. This link only describes the algorithm for the Kuhn-Munkres or the Hungarian Algorithm. The proof of it is found in some (very few) books on graph theory. But it is one heck of a way to correlate data.  http://lyanalgorithm.blogspot.com/2012/07/the-hungarian-algorithm-kuhn-munkres.html
Charles Filipponi replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (4 days ago)
+Richard Green Wow. The latter two are right up my ally. I have a smidgen of graph theory (pattern matching related), more combinatorics. But I have never heard of Hultman Numbers. Which of course means "interesting". Thanks for sharing. Love to learn new stuff. 
Richard Green replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (4 days ago)
+Charles Filipponi: graph theory and enumerative combinatorics. There is also a probability and statistics angle that I didn't explore.
Charles Filipponi replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (4 days ago)
KInda scanned it quickly - is this a subset of graph theory?
Raquel Hunter replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (4 days ago)
I am always fascinated by the mathematical topics that you post.
Mark Hurn replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (4 days ago)
How very elegant.

And now I want pancakes again...
Richard Durham replied RE: Generalized Hultman Numbers and the Distribution of Multi-break Distances (4 days ago)
Passing this one on to my wife; she is the geneticist in the family.